is there evidence of the diffusion of starch molecules? if so, what evidence and in which direction did starch molecules diffuse?

Answers

Answer 1

Iodine molecules are small enough to pass freely through the membrane however, starch molecules are complex and too large to pass through the membrane. Initially, there was a higher concentration of iodine outside than inside the tube.

Thus iodine diffused into the tube with the starch. Iodine is able to pass through the membrane while starch is not. The Glucose-testing strips indicate that glucose has been able to pass out of the tubing and into the external fluid. Thus proving the tubing allows movement in both directions.

Iodine was able to diffuse across the membrane because it is small and hydrophobic and starch was not because it is too large The Dialysis tubing provides a semi-permeable membrane. Only allowing smaller molecules to pass through it. Iodine molecules are small enough to pass freely through the membrane, however, starch molecules are complex and too large to pass through the membrane.  

The iodine is a small molecule and can move from outside the tubing to inside it. To test whether iodine or starch has crossed the synthetic membrane, you will look for color change. A solution of iodine is tan and a solution of starch is milky white; when iodine and starch are together in the same solution, they react and the solution turns purple, dark blue, or black.

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Related Questions

FILL IN THE BLANK. using a windows computer, to expand a branch of the folder tree you would _____.

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Using a windows computer, to expand a branch of the folder tree you would

click the + (plus symbol) on the folder tree.right-clicking next to different disks and folders.

The act of opening a folder and showing every item inside. For instance, in Microsoft Windows' Explorer, a user can double-click or click the plus (+) sign adjacent to a folder to expand it and view its contents. Click the minus (-) sign to collapse the folder if you wished to hide its contents.

The contents of a folder can range from papers and music to programs [such Word, Excel, or your preferred browser]. However, computer folders can also include numerous other folders, and those sub-folders can also contain more folders. Then, there are a number of folders, including Control Panel and Recycle Bin. The "Libraries" branch is the most significant one.

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atp is considered a high-energy molecule. when atp undergoes hydrolysis to adp, how much energy is produced?
a. 7.3 kcal/mole is required
b. 14.6 kcal/mole is released
c. 7.3 kcal/mole is released
d. 21.9 kcal/mol is released

Answers

The molecule ATP is regarded as having great energy. Energy is generated at a rate of 7.3 kcal/mol during the hydrolysis of ATP to ADP.

To keep the cell running continually, ATP must be replenished. Normally, ATP is present in cells in concentrations of 1 to 10 uM.

Describe hydrolysis.

When chemicals and water interact chemically, the result is hydrolysis, which decomposes both the material and the water.

Reactions involving salts, carbohydrates, proteins, lipids, etc. can undergo hydrolysis.

In catabolic processes, organic materials are typically hydrolyzed with the aid of enzymes.

Polysaccharides are broken down into monosaccharides, glycerol and fatty acids into lipids, and amino acids into proteins.

Hydrolysis is regarded as a crucial phase in the breakdown of silicate and aluminosilicate glasses, ceramics, and minerals because it destroys the bond network in silicates.

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how people use the second law of thermodynamics to argue that they might be living more sustainably than someone who eats meat?

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According to the second law, entropy always rises in closed systems. Let's use the growing of a leaf as an example. The sun emits low-entropy radiation that the leaf absorbs and then emits higher-entropy radiation into its surroundings.

The leaf is encouraged to reduce its own entropy in order to sustain the overall process's required increase in entropy as a result of this significant entropy increase.

Using this illustration, we can draw the conclusion that living things adhere to the second law of thermodynamics. second law of thermodynamics

A process that exchanges or transfers heat can result in a certain amount of useful work, according to the second law of thermodynamics.

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a linebacker strikes a side referee with a force of 100 n (on accident of course). the linebacker is in contact with the referee for 0.10 s. what is the magnitude of the change in momentum of the referee?

Answers

The magnitude of the change in momentum of the referee will be 10 Ns.

What does a momentum unit change mean?

Mass times velocity equals mass (M) times momentum (P) (v). However, there are alternative perspectives on momentum. The change in momentum (P) over the time period (t) equals force (F). And the impulse is equal to the shift in momentum (P) (J). The units for momentum and impulse are kg*m/s and N*s, respectively.

How to calculate change in momentum or Impulse?

Given, Force = 100N

time = 0.1. s

Impulse, J = F.t

J = 100×0.1

J or Δp = 10 Ns

The magnitude of the change in momentum of the referee will be 10 Ns.

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an a/c unit consumes 12,000 btu of electricity to remove 24,000 btu of heat from a house. what is the coefficient of performance (cop)? how much heat is rejected to the outdoors?

Answers

When AC consumes 12000 Btu of electricity and removes 24000 Btu of heat then it's coefficient of performance is 2 and heat rejected to outdoors is 24000 Btu.

The COP of a refrigerator or air conditioning system is a ratio of useful heating or cooling provided to work (energy) required. Higher COPs indicate higher efficiency, lower energy (power) consumption, and thus lower operating costs.

Given,

[tex]W_{supply}[/tex] = 12000 Btu

[tex]Q_{removed}[/tex] = 24000 Btu

Here, W- Electrical energy or work done on the Ac

[tex]Q_{removed}[/tex] = Total quantity of heat removed from house

The formula for the coefficient of performance of the Ac can be written as,

[tex]COP=\frac{Q_{removed}}{W}\\\\=\frac{24000}{12000}\\\\=2[/tex]

Hence, the coefficient of performance is 2.

The total heat rejected to the outdoor from the hose is,

[tex]Q_{rejected}=Q_{removed}[/tex] = 12000 Btu

Hence, the heat rejected to the outdoors is 24000 Btu.

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suppose that the pendulum bob is suspended from a light flexible cord instead of a stiff rod. now what is the minimum value of v such that the pendulum bob will swing through a complete vertical circle?

Answers

The particle's minimum speed required to complete the vertical circular motion at the highest position is (g r). As a result, tension can be zero at its peak.

When a body circles in a vertical circle in such a way that its motion at different points differs, the motion is said to be vertical circular motion. Consider an object of mass m tied at one end of an int extensible string and whirling in a vertical radius of radius r. It is written as FC = mv2 /r. The centripetal force of an object attached to a string moving in a vertical circular motion is the sum of the object's weight (mg) and the tension in the thread.

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a marble moves along the x-axis. the potential-energy function is shown in the figure (figure 1) .

Answers

At  b Fx =0 of the labeled x-coordinates is the force on the marble zero.

As per the details share in the given figure,

Are as bellow,

At b x-coordinates is zero as,

A spherical or elliptical coordinate system known as the geographic coordinate system is used to measure and transmit positions on Earth as latitude and longitude. Of the many spatial reference systems in use, it is the most basic, traditional, and often utilized. It also serves as the foundation for the majority of other systems.

F = -dU/dx ,

Depending on whether F is lowest or maximal, v.

B is the regional minimum in the presented graph.

The slope of the provided curve's tangent at b is thus zero.

A line's slope, often known as its gradient, is a numerical representation of the line's elevation change and course.

so dv/dx =0

Therefore at b Fx =0

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Note:- The correct question would be as bellow,

A marble moves along the x-axis. The potential-energy function is shown in the figure below.

(a) At which of the labeled x-coordinates is the force on the marble zero?

abcd

an object with a mass of 10 kg is initally at rest at the top of a fricitonless incliiined plane that rises at 30 degress above the hhroizontal. the coefficient of kinetic friction between the hroizontal surface and the object is 0.2, and air resistance is negligible. find d

Answers

The acceleration is 3.2m/s².

According to the question,

An object with a mass of 10kg is sliding on a surface inclined at an angle θ=30° with the horizontal.

mass, m = 10kg

angle = 30°

the coefficient of kinetic friction between the horizontal surface and the object is (μ)= 0.2

let, acceleration = a m/[tex]s^{2}[/tex]

N=mgcos30°=mg[tex]\frac{\sqrt{3} }{2}[/tex]  ( cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] )

The static friction force, fs=μN=μmg [tex]\frac{\sqrt{3} }2}[/tex]

We know that,

mgsinθ−fs=ma

⇒mgsin30°−μmg [tex]\frac{\sqrt{3} }{2}[/tex] =ma ( substitute the value)

⇒[tex]\frac{g}{2}[/tex]−μg[tex]\frac{\sqrt{3} }{2}[/tex] = a

⇒ [tex]5 - (5\sqrt{3} )(0.2) = a[/tex] ( substitute the value)

⇒a = 3.2 m/ [tex]s^{2}[/tex]

So, the acceleration is 3.2m/s².

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the planets that are farthest from the sun are the largest bodies in the solar system, but have the lowest average densities. which is the best explanation for this arrangement of the planets?

Answers

The temperatures on the Jovian planets were low enough to for the buildup of ice, which resulted in planets with massive sizes.

The largest planets in the solar system are also the ones with the lowest average densities because they are the ones closest to the sun. The larger gas and ice giants have a tendency to form further from the Sun because the regions closer to the Sun are too warm for the lighter gases to condense there. Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune are in order of proximity to the sun. Pluto, which was once thought to be the outermost planet, is now categorized as a dwarf planet. Pluto is not the only dwarf planet that has been found farther from the Sun. Out of all the planets in our solar system, Saturn has the lowest density. Saturn would float in a large enough body of water because it is less dense than water. But Saturn's mass is over 95 times greater than that of the Earth.

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A train locomotive pull a train with a ma of 1. 30 ✕ 107 kg on level rail. The locomotive exert a contant force of 6. 90 ✕ 105 N on the train. How much time doe it take to increae the peed of the train from ret to 78. 0 km/h? (Ignore any reitance force from the rail on the wheel of the train. Enter your anwer in minute. )

Answers

A train locomotive pull a train with a mass of 1. 30 ✕ 107 kg on level rail. The locomotive exert a constant force of 6. 90 ✕ 105 N on the train. 244.5 minutes time does it take to increase the speed of the train from rest to 78. 0 km/h.

The time it takes to increase the speed of the train from rest to 78.0 km/h, you need to use the equation for acceleration:

= a

= F / m

where a is the acceleration of the train, F is the force exerted on the train by the locomotive, and m is the mass of the train.

Putting the values from the problem gives:

a = (6.90 x 10^5 N) / (1.30 x 10^7 kg)

= 5.31 m/s^2

To find the time it takes to increase the speed of the train from rest to 78.0 km/h, you can use the equation:

v = v0 + at

where v is the final speed of the train, v0 is the initial speed of the train (which is 0 in this case), a is the acceleration of the train, and t is the time.

Putting the values from the problem and solving for t gives:

= t

= (78000 m/h - 0 m/s) / (5.31 m/s^2)

= 14670 s

Since there are 60 seconds in a minute, the time it takes to increase the speed of the train from rest to 78.0 km/h is approximately 14670 s / 60 s/min = 244.5 minutes.

Therefore, the correct answer is "244.5".

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the closest saturn comes to earth is 1,277,400,000 km. the closest jupiter comes to earth is 628,760,000 km. in au, how much closer does jupiter come to earth than saturn?

Answers

The Jupiter is closest to earth is 648,640,000.

The closest Saturn comes to earth is 1,277,400,000 km

The closest Jupiter comes to earth is 628,760,000 km

1277400000 - 628760000 = 648,640,000

The largest planet in the Solar System is Jupiter, which is located five planets from the Sun. It is a gas giant with a mass that is slightly less than one thousandth that of the Sun, but more than two and a half times greater than the combined mass of all the other planets in the Solar System. Observed since ancient times, Jupiter is the third brightest natural object in the night sky of the Earth after the Moon and Venus. It was given the title "Jupiter" in honor of the Roman god and supreme deity.

Helium makes up one-tenth of Jupiter's volume and one-quarter of its mass, despite the planet's primary chemical composition being hydrogen. Though, like the other major planets in the Solar System, it likely contains a rocky core made of heavier elements.

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suppose we discover a new comet on an orbit that brings it closer to the sun than mercury every 125 years. what can we conclude?

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Compared to the antiquity of our solar system, it has only been in its present orbit for a very little period of time.

Some of the ice begins to melt and boil off as the comet approaches the Sun, along with some dust. A COMA, or cloud of particles and gases, surrounds the nucleus. The Sun shines into the coma. Additionally, the sunlight forces this material into the comet's gorgeous, brilliantly lighted TAIL.

A comet always travels tail first after passing the Sun because, as the diagram shows, its tail always points away from the Sun.

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which factor will not affect the strength of a solenoid? question 13 options: number of wraps strength of current radius of the wraps core type

Answers

The factor that will not affect the strength of a solenoid will be the radius of the wraps. So option c. is correct.

Solenoids are simple components that can be used for various applications. A solenoid is a long piece of wire which is wound in the shape of a coil. When the electric current passes through the coil it creates a relatively uniform magnetic field inside the coil. The solenoid can create a magnetic field from electric current and this magnetic field can be used to generate a linear motion with the help of a metal core.

The solenoid simply works on the principle of electromagnetism. The magnetic strength of the solenoid can be increased by increasing the density of the turns or by increasing the current flow in the coil.

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Which of the following radiations has a wavelength longer than that of visible light?
A
X-ray waves
B
Gamma waves
C
Ultraviolet waves
D
Infrared waves

Answers

Infrared waves are radiations that have a wavelength longer than that of visible light. Thus, option D is the correct answer.

Electromagnetic radiation includes infrared light and waves. People come into touch with infrared radiation every day, which is heat-producing but invisible to the human eye.

Due to their longer wavelengths than visible light, infrared waves can travel across crowded areas of gas and dust in space without being significantly scattered or absorbed. As a result, employing optical telescopes, infrared energy can also show celestial objects that are invisible to the human eye.

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ap physics 1 orbital velocity frq and what happen if mass of satellite increases and what happens if the radius increases

Answers

if the mass of the satellite increases, the orbital velocity will increase, and if the radius increases then the orbital velocity will decrease.

Orbital velocity is the speed at which a satellite must move to remain in orbit, and is determined by a combination of the satellite’s mass and the radius of its orbit. The formula for orbital velocity is:   V = sqrt(GM/R)  Where G is the gravitational constant, M is the mass of the satellite, and R is the radius of the orbit.  If the mass of the satellite increases, the orbital velocity will increase. This is because the equation for orbital velocity is directly proportional to the mass of the satellite. That is, the higher the mass, the higher the orbital velocity.  If the radius of the orbit increases, the orbital velocity will decrease. This is because the equation for orbital velocity is inversely proportional to the radius of the orbit. That is, the larger the radius, the lower the orbital velocity.

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determine the minimum value of the coefficient of static friction which will prevent the blocks from moving in a pulley system

Answers

The minimum value of the coefficient of static friction which will prevent the blocks from moving in a pulley system is  Fs=μsFN.

Create an inclination plane out of one of the materials, then place a body made of the other material on it to determine the minimum coefficient of static friction between the two. Up until the body begins to slide, steepen the incline. The coefficient of friction is the angle's tangent. A force that opposes motion is friction. Both static and kinetic friction work to keep a body at rest and to slow down its motion once it is moving. The normal force (FN), also known as the force produced perpendicularly by a body against the surface along which it is traveling, is proportional to the force generated by static friction (Fs). Fs=μsFN.

The properties of the two surfaces that are in contact with one another affect this coefficient.

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a rope is used to pull a3.57 kg block at constant speed 4.06 m along a horizontal floor. the force on the block from the rope is 7.68 n and directed 15.0o above the horizontal. what are (a) the work done by

Answers

The work done by the rope is 30.1 J

The displacement when it is pulled by the constant speed   = 4.06 m

The Mass of the rope = 3.57 kg

The force on the block from the rope is 7.68 N

The angle above the horizontal where the force has been applied = 15 °

Work Done is given by the dot product of force and displacement.

Work is a Scalar Quantity,

The formula for Work Done is

W = F.s

W = Fscosθ

Putting the given parameter in the above equation, we get

W = (7.68) ( 4.06 m) cos  15 ° = 30.1 J

The work done by the rope is 30.1 J

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a current of 1.52 a is observed flowing through the cell for a period of 2.61 h . calculate the amount of charge flowing through the circuit during this time.

Answers

The quantity (the amount) of charge on the object will depend on the total number of electrons added to or subtracted from it.

"Q" stands for charge, while "C" stands for Coulomb. Mathematically speaking, the charge on a single electron is equal to a very little quantity of charge. Amperes are the units used to measure electric current; the ampere is represented by the letter A. A coulomb traveling through a spot in a wire in one second is equal to one ampere. I = Q t, where Q is the amount of charge passing a location in a certain amount of time, t I = 0.4 A t=1 hr=3600 s, allows us to determine current.

Charged Q=it=0.43600=1440 C.

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earth is closer to the sun in january than in july. therefore, in accord with kepler’s second law:

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Earth is closer to the sun in january than in july. therefore, in accord with Kepler’s second law: Earth travels faster in its orbit around the sun in january than in july.

In January, Earth orbits the sun more quickly than in July. According to Kepler's second law, planets cover equal regions in equal amounts of time. Because the Earth is nearer the Sun in January than it is in July, it must move around its orbit more quickly in January than it does in July in order to cover the same area in the same period of time.

Kepler's Law:-

According to Kepler's First Law, the Sun is one of the two foci of an elliptical planet's orbit.according to Kepler's Second Law, A line segment connecting a planet to the Sun sweeps away equal areas at equal times.

Simply said, the planet moves faster as it gets closer to the sun and slower as it moves away from the sun.

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a pendulum has a period of 2.50 s on earth. part a what is its period on mars, where the acceleration of gravity is about 0.37 that on earth? express your answer using two significant figures. to mars

Answers

The time period of pendulum on mars is 4.16 s.

A pendulum is a machine in which a point mass is hung from fixed support by an inextensible string. The length of the simple pendulum is the vertical distance between the point of suspension and the suspended body's centre of mass.

We know that, the time period of pendulum is inversely proportional to the square root of acceleration due to gravity.

T₁/ T₂ = √(g₂ / g₁)

Given that, T₁ = 2.5 s

g₂ / g₁ = 0.37

Placing the values in the above equation,

2.5/ T₂ = √ 0.37

2.5² = T₂² * 0.37

T₂² = 2.5² / 0.37

T₂² = 16.89

T₂ = 4.16 s

Thus, the time period of pendulum on mars is 4.16 s.

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A worker pushes a 22.0 kg barrel, giving it an initial velocity of 6.8 m/s. Calculate the displacement of the barrel before it stops if the force of friction acting on the barrel is 36 N.​

Answers

Answer:

14 m

Explanation:

The force of friction has to do work equal to the barrel's kinetic energy for the barrel to stop.

   work = f * d       and       KE = 1/2 mv^2

         36 N * d  = 1/2 (22 kg)(6.8 m/s^2)

               d=~ 14 meters

dog sits 1.25 m from the center of a merry go round and revolves at a tangential speed of 2.0 m/s. if the dog's mass is 19.3 kg, what is the magnitude of the centripetal force on the dog?

Answers

Dog is seated 1.25 metres from the centre and rotates at a tangential speed of 2.0 metres per second. If the dog weighs 19.3 kg, the centripetal force acting on it will be 61.76 N.

A total net force  acting on an object moving in a circular motion is known as a centripetal force.

It is given that radius(r) of the merry go round = 1.25m

tangential speed of the merry go round (v) = 2m/s

Mass of the dog (m) = 19.3kg

Centripetal acceleration (ac) is calculated as = v^2/r

So ac = (2x2)/1.25 = 3.2m/s^2

According to centripetal force(Fc) = mxac

Then Fc = 19.3 x 3.2 = 61.76N

Hence the centripetal force acting on the dog is 61.76N

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most of the radiation released from the failed nuclear reactor was from fission products t or f

Answers

Cesium-134, cesium-137, and iodine-131. According to UNSCEAR, iodine-131 has a half-life of only eight days, yet it is quickly inhaled through the air and has a tendency to concentrate in the thyroid gland.

What reactor exploded as a result of failure?

A low-power test on the Chernobyl nuclear reactor power plant's Number Four RBMK reactor went awry on April 26, 1986, resulting in an explosion and fire that destroyed the reactor building and spilled a significant amount of radioactivity into the atmosphere.

What led to Chernobyl's failure?

After the SCRAM began, there was a significant power increase that caused the core to overheat. A few seconds later, this overheating led to the initial explosion. Several of the fuel rods cracked and became obstructed.

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The motion of the piston in an automobile engine is oscillatory as the piston travels back and forth. If the piston makes 2,000 complete cycles every minute, what is the period of the motion of the piston
a. 0.5 ms
b. 30 ms
c. 2.0 s
d. 33.3 s

Answers

The time period of the piston is b. 30ms

What is Time period?The Time Period is the length of time required for a single complete oscillation to take place. T symbolizes for Time period.The SI unit of Time period is seconds(s)The frequency is the quantity of vibrations or repetitions of an event per unit of time. Hertz units are used to measure frequency.

To calculate Time period we have,

T=[tex]\frac{t}{N}[/tex]

Where,

T is time period,

t is time taken by piston,

N is number of cycles.

We are given that

t= 1 min = 60 sec

N= 2000

T=[tex]\frac{t}{N}[/tex]

T =[tex]\frac{60}{2000}[/tex]

T = 0.03  s

T = 30 × [tex]10^{-3}[/tex]

T = 30 ms.

Therefore the time period taken by the piston = 30 ms.

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are there other classes of stars besides those in the primary obafgkm sequence? what are they, and are they significantly different from their more or less massive peers?

Answers

The other classes of stars besides those in the primary obafgkm sequence are spectral types L, T, and Y.  They significantly different from their more massive peers.

Stars are substantial gas spheres. The star's core is compressed by the force of gravity, which raises its temperature to almost 10 million Kelvin. Nuclear fusion can commence at these temperatures and densities. When four hydrogen atoms unite to make a single helium atom, energy is released. The starlight comes from this.  More massive stars have hotter cores, which fuse hydrogen more quickly. They emit more light and heat than the Sun. The Sun has enough hydrogen to last for roughly 10 billion years; larger stars burn away more quickly. According to their spectra, astronomers categorize stars. Given that stars are, roughly speaking, black things, the hotter stars are blue and the colder stars are red.

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The chemical equation for the combustion of pentaborane is as follows:

2 B5H9 + 12 O2 => 5 B2O3 + 9 H2O

The energies of the different chemicals are as follows:

2 B5H9 is equal to 146.4 kJ/mol

12 O2 is equal to 0 kJ/mol

5 B2O3 is equal to -6363.85 kJ/mol

9 H2O is equal to -2176.38 kJ/mol



Calculate the energy difference between the products and reactants and determine if the reaction is exothermic or endothermic

Answers

The energy difference of the given reaction is -8686.63 kJ/mol

The reaction is an exothermic reaction.

What is the energy difference of a reaction?

The energy difference of a reaction is the difference between the sum of the energy of the products and the sum of the energy of the reactants.

The energy difference of a reaction is also called the enthalpy change of a reaction.

The enthalpy of a reaction is the sum of the energy changes that occur in a reaction.

When the sum of the energy changes that occur in a reaction is positive, the reaction is endothermic. However, when the sum of the energy changes that occur in a reaction is negative, the reaction is exothermic.

The energy difference of the given reaction is determined as follows;

The energy of products = -6363.85 kJ/mol + (-2176.38 kJ/mol)

The energy of products =  -8540.23 kJ/mol

The energy of reactants = 146.4 kJ/mol + 0 kJ/mol

The energy of reactants = 146.4 kJ/mol

The energy difference = -8540.23 kJ/mol - 146.4 kJ/mol

The energy difference = -8686.63 kJ/mol

The reaction is, therefore, an exothermic reaction.

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which will have the greater acceleration rolling down an incline: a hoop or a solid disk? why?

Answers

Answer: Solid disk have the greater acceleration than the hoop.

Explanation:The body will have the maximum implicit energy at theThe body will have the maximum implicit energy at the top, but as the body rolls down the aeroplane , its implicit energy thresholds transubstantiating into translational and rotational kinetic energy. The body which will have a advanced moment of indolence will have advanced rotational kinetic energy and lower translational kineticenergy.However, also a circle has a lesser moment of indolence than a solid fragment, If we consider the case of a circle and a solid fragment. So the final speed of the circle is lower than the solid fragment. Acceleration will be the change in speed. So the acceleration of the solid fragment will be advanced than the circle. top, but as the body rolls down the aeroplane , its implicit energy thresholds transubstantiating into translational and rotational kinetic energy. The body which will have a advanced moment of indolence will have advanced rotational kinetic energy and lower translational kineticenergy.

However, also a circle has a lesser moment of indolence than a solid fragment, If we consider the case of a circle and a solid fragment. So the final speed of the circle is lower than the solid fragment. Acceleration will be the change in speed. So the acceleration of the solid fragment will be advanced than the circle.

a slingshot consists of a light leather cup attached between two springs. (a) if it takes a force of 32 n to stretch the springs 1.2 cm, what is their spring constant?

Answers

A light leather cup placed between two springs makes up a slingshot. The springs' spring constant is 2667N/m if it takes a force of 32N to stretch them 1.2 cm.

In accordance with Hook's law, the spring's restoring force is proportional to its extension. The term "proportionality constant" also refers to the stiffness or spring constant. The formula for the hook's law is F = kx. The restoring force, spring constant, and spring elongation are represented in this equation by F, k, and x, respectively. Effective spring constant ke = k1+k2 when two springs with spring constants k1, k2 are linked in series, and ke = k1k2/k1+k2 when the springs are connected in parallel.

Considering the force on the spring (F) = 32N

elongation in spring (x) = 1.2cm

spring constant (k) = F/x = 32/1.2= 2667N/m

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consider the cantilevered w14×30 beam shown in (figure 1) . e = 29(10^3) ksi, i = 291 in^4.
(a) Determine the expression for the elastic curve using the coordinate x for 0 < x < 9 ft where x is in feet.
(b) Determine the maximum slope of the beam , measured counterclockwise from the positive x-axis.
(c) Determine the maximum deflection of the beam.

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The cantilever beam's elastic curve equation, including the deflection at the free end and the slope at the free end

(a) For the cantilever beam AB, the elastic curve equation is

y(x) = (F/2EI)*x^2

(b) The deflection at the free end is given by

y(L) = (F/2EI)*L^2

(c) The slope at the free end is

dy/dx = (F/EI)*L

A system's behaviours when a force is applied to it is described mathematically by an elastic curve. Its formula is the product of the ratio of the change in stress to the change in strain. Elastic curves are used to gauge a material's stiffness and forecast how a material will respond to different forces. They are also employed in the calculation of a material's elastic modulus, which is a measure of stiffness. For constructing structures and for comprehending how various materials respond to forces, elastic curves are crucial. They are also employed in engineering and industrial processes to calculate the strain and force required to distort a material.

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when the center of gravity of the meter bar was determined in part i, was the bar supported at a point above, or coinciding with the center of gravity? would any difficulty have been encountered in trying to balance the bar if the clamp were inverted? explain.

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In general, the center of gravity of an object can be determined by suspending the object from a single point and observing the object's balance. If the object is in balance, then the point of support is coincident with the object's center of gravity. If the object is not in balance, then the point of support is not coincident with the object's center of gravity, and the object will rotate or tilt until it comes to rest in a stable position.

If the clamp used to support the meter bar were inverted, it would still be possible to determine the center of gravity of the bar by suspending it from the inverted clamp and observing its balance. However, it may be more difficult to balance the bar in this configuration, as the clamp would be applying a force to the bar that is not aligned with the bar's center of gravity. This could cause the bar to rotate or tilt, making it more difficult to determine its center of gravity accurately.

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