To calculate the average mass of Ne (neon), we have to use this formula:
[tex]\text{Average atomic mass = }\frac{\sum ^{}_{}(\text{mass of isotopes)x(abundance \%)}}{100}[/tex][tex]\begin{gathered} \text{Average atomic mass = }\frac{(19.99ux90.48+20.99ux0.27\text{ +}21.99ux9.25)}{100} \\ \text{Average atomic mass = }20.18\text{ u} \end{gathered}[/tex]The average atomic mass of Ne = 20.18 u
Question 1
The hybridization of the central nitrogen atom in the molecule N 20 is
Answer:
NO2 has sp2 hybridization in the traditional sense.
Explanation:
Single electron orbitals are often pure, unhybridized p-orbitals, such those seen in the methyl free radical.
However, when the central atom is joined to strongly electronegative atoms or groups, the single electron orbital is said to be hybridized. It happens as a result of the core atom's decreasing electron density, which draws in odd electron orbital density and reduces the size of the odd electron orbital. As a result, the odd-electron orbital takes on some "s" character and becomes hybridized.
ClO2, ClO3, and CF3 are sp3 hybridized for the same reason.
Particle X has 16 protons, 17 neutrons and 18 electrons. Particle X
an atom of a metal
an atom of a noble gas
an anion
a cation
Magnesium + Silver Nitrate →Determine the reaction typeFinish the word equationWrite a balanced chemical reactionFor Double displacement include a net ionic equation (you don’t know double displacement yet!)For single replacement state the transfer of electrons
Explanation:
For this question, we need to know that:
Magnesium is Mg
Silver Nitrate is AgNO3
So the complete and balanced reaction is:
Mg + 2 AgNO3 → Mg(NO3)2 + 2 Ag
Also, we need to know that is it a single replacement equation.
Single replacement reactions are those that occur between a compound substance (made up of more than one chemical element) and a simple substance (made up of only one type of chemical element), giving rise to another simple substance and another compound.
Generically, we have:
A + CD → AC + D
This is the case of this reaction.
Answer:
Determine the reaction type
Single replacement.
Finish the word equation
Magnesium + Silver Nitrate → Magnesium nitrate + silver
Write a balanced chemical reaction
Mg + 2 AgNO3 → Mg(NO3)2 + 2 Ag
For single replacement state the transfer of electrons
Electrons are transferred from magnesium to silver.
What is the molecular geometry of CF4
The molecular geometry of CF4 is tetrahedral because it has all fluorine atoms in the surrounding.
It's the northern summer solstice. Explain what would happen to the length of the day if you took a trip from Mexico City north to Anchorage, Alaska, and why.
Prior to and following the summer solstice, the sun angle is high and there are the most daylight minutes. The amount of daylight gets less as the sun starts to descend in the sky.
What is Northern Summer Solstice ?
The North Pole is tilted farther toward the sun on the June solstice than any other day of the year. As a result, the Northern Hemisphere will have its longest day and shortest night on June 21.
According to the Gregorian calendar, the June solstice is the solstice on Earth and takes place every year between June 20 and June 22. The June solstice is the summer solstice in the Northern Hemisphere and the winter solstice in the Southern Hemisphere. The northern solstice is another name for it.
Midsummer, also known as the summer solstice, is the time of year when a planet's rotational axis, or geographic pole, in either its northern or southern hemisphere, is most inclined toward the star it orbits. The Earth's maximum axial tilt toward the Sun is 23.44° on the summer solstice.
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The equation of line t is y=–
1
7
x–2. Parallel to line t is line u, which passes through the point (7,6). What is the equation of line u?
The equation of line u, given that it is parallel to line t is:
y = –17x – 113
How to determine the equation of line uWe know that the equation of straight line is given as
y = mx + c
Where
y is the coordinate on y-axis x is the coordinate on x-axis m is the slope or gradient c is the intercept on y-axisFirst, we shall determine the slope of line u. This can be obtained as follow:
y = –17x – 2
Comparing y = mx + c with y = –17x – 2,
The slope (m₁) = –17
Recall,
The slope of parallel lines are equal.
Thus,
The slope of line u, is given as:
m₂ = m₁ = –17
Finally, we shall obtain the equation of line u as follow:
Coordinate = (7, 6) x coordinate 1 (x₁) = 7y coordinate 1 (y₁) = 6Slope of line u (m₂) = –17Equation of line u=?y – y₁ = m₂(x – x₁)
y – 6 = –17(x – 7)
Clear bracket
y – 6 = –17x – 119
Rearrange
y = –17x – 119 + 6
y = –17x – 113
Thus, the equation of line u is y = –17x – 113
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Answer:
Equation of line is given as y = mx + c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient so gradient of line u is -17.
Equation of line u is y = -17x + c
Substitute (7,6) into the equation to find c.
6 = -17(7) + c
c = 125
Hence, equation of line u is y = -17x + 125.
Which of the following solutions has the highest boiling point?
Which of the following solutions has the lowest boiling point?
Boiling point of Alcl3 would be highest .
As, i of Na2S= 3
2) i of NaNO3= 2
3) i of Alcl3= 4
4) i of Sucrose= 1 (As it doesn't show any kind of dissociation)
5) i of Mg(clo4)2= 3
What is boiling point elevation?Although we're assuming water as the solvent, boiling point elevation also depends on the solute concentration and the number of particles the solute breaks down into. The total number of particles in solution affects aggregative qualities like boiling point elevation. Here, water is the solvent. As a result, the boiling point of all solutions will be elevated above the boiling point of water.
Boiling point van't hoff factor.
What is van't hoff factor ?The Van't Hoff factor is the ratio of a substance's mass concentration to the concentration of the particles it dissolves into. How much a substance associates or dissociates in a solution is determined by the Van't Hoff factor.
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Perform the following operation
and express the answer in
scientific notation.
5.0×10−5 +2.0×10-4
[ ? ]×10
The answer in scientific notation for the following operation is 2.5 × 10⁻⁴
What is scientific notation?
It is a way of writing very large or very small numbers. A number is written in scientific notation when number between 1 and 10 is multiplied by power of 10.
To determine the power or exponent of 10,
we must follow the rule listed below:
The base should be always a 10The exponent must be non-zero integer that means it can be either a positive or negative Coefficients can be positive or negative numbers including whole and a decimal numbers5.0×10⁻⁵ + 2.0×10⁻⁴
= 5×10⁻⁵ + 2×10⁻⁴
= [tex]\frac{5}{10^{5} } + \frac{2}{10^{4} }[/tex]
= [tex]\frac{5}{100000} + \frac{2}{10000}[/tex]
= 0.00005 + 0.0002
= 0.00025
= [tex]\frac{2.5}{10000}[/tex]
= [tex]\frac{2.5}{10^{4} }[/tex]
= 2.5 × 10⁻⁴
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Nitrogen is collect over water at 40 Celsius . The partial pressure due to water vapor is 7.38 kPA at 40 Celsius , what is the partial pressure of nitrogen if the total pressure is 99.42 kPa?
There is a partial pressure for each gas in a mixture of gases, which is the pressure that would exist if that gas alone filled the whole volume of the initial combination at the same temperature.
One of two methods can be used to compute partial pressures:
Use PV = nRT to calculate the individual pressure of each gas in a mixture.
Utilizing the mole fraction of each gas, determine the proportion of pressure from the total pressure that may be ascribed to each individual gas.
When attempting to predict gas movement, partial pressure must be taken into account. Recall that the pressure of gases usually equalizes across nearby locations. From one area with a greater partial pressure to another with a lower partial pressure, a gas will move.
By dividing the mole fraction by the total pressure of a gas, one can calculate its partial pressure. Since it is based solely on the quantity of particles present rather than the nature of the gas, the Ideal Gas Equation remains true for mixes of gases just as it does for pure gases.
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Determine the total volume of all gases (at STP) formed when 50.0 mL of TNT (C3H5(NO3)3, d=1.60 g/mL, molar mass=227.10 g/mol reacts according to the following reaction
The total pressure would be 1189 atm.
What is pressure?
pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed .
Sol-the reaction is -
4C3H5(NO3)3--->6N2+O2+12CO2+10H2O
As we have the volume of TNT .we must know the density to find out the mass and then, apply molar mass to calculate mole.
TNT density = 1.654 g/mL
Density = mass / volume
1.654 g/mL = TNT mass / 50mL
1.654 g/mL . 50mL = TNT mass → 82.7 g
Mass / Molar mass = Mol → 82.7 g / 227.1 g/m = 0.364 mole
Now, we can calculate all the mole for the formed gases.
4 mole of TNT produce 6 mole N₂ ___ 1 mol O₂ __ 12 mole dioxide __ 10 mole of water
0.364 mole of TNT will produce:
- (0.364 . 6) /4 = 0.546 mole of produced nitrogen
- (0.364 . 1) /4 = 0.091 mole of produced oxygen
- (0.364 . 12) /4 = 1.092 mole of produced dioxide
0.364 . 10) /4 = 0.91 mole of produced vapour of water.
Total mole = 0.564 + 0.091 + 1.092 + 0.91 = 2.657 mole
Let's apply the Ideal Gases Law to find the total pressure, at STP
In STP, pressure is 1 atm for 1 mole at 273K, in a volume of 22.4 mL
But we have a volume of 50mL, and we have 2.657 total mole
Don't forget to convert 50 mL to L, cause the units for R
50 mL = 0.050L
P . 0.050L = 2.657 mol . 0.082L.atm/mol.K . 273K
P = (2.657 mol . 0.082L.atm/mol.K . 273K) / 0.050L
Thus
P=1189 atm
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someone pls tell me what this is
Answer:
Rights
Explanation:
Every human has their rights such as those stated. These rights are what is protected by law.
Shown below is a carbocation intermediate in an electrophilic addition reaction of HCl with two different alkenes. Draw structural formulas for both of the alkenes.
Carbocation intermediate in an electrophilic addition reaction of HCl with two different alkenes and the structural formulas for both of the alkenes are 1,3 dimethyl butene
Carbocation is the molecule in which the carbon has the positive charge and three bond and it is an organic molecule, an intermediate, that forms as a result of the loss of two valence electrons, normally shared electrons, from a carbon atom that already has four bonds
Here given diagram is attached and is a carbocation intermediate in an electrophilic addition reaction of HCl with two different alkene and then two alkenes are form which is 1,3 dimethyl butene and given below the structure formula for 1,3 dimethyl butene
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If 0.250 mol of red phosphorus reacts with 0.625 mol of yellow sulfur , what is the empirical formula of the product
Answer:
P2S5
Explanation:
This answer is pretty much asking for two numbers that are mutually prime and have a ratio of 0.25 to 0.625
0.25 = 1/4
0.625 = 5/8
the ratio of 0.25 to 0.625 would thus equal 1/4:5/8 which is 0.4
So, two numbers that are mutually prime and divide to 0.4
Set up the equation:
x/y = 0.4 where x is the moles of red phosphorus and y is the moles of sulfur.
With some trial and error, it's easy to find out that 2 and 5 are the solutions.
Since x = 2 and y = 5, the subscripts for the PxSy compounds are found.
P2S5 would be the empirical formula
Help
- Correct answer to multiple choice = marked, rated to max& thanked
Over time, a crusty deposit of calcium carbonate forms on the heating element inside a kettle.
Use your understanding of acids and bases to suggest a way to remove the deposit
Calcium carbonate deposits in heating elements can be eliminated by way of cleansing these with an acid (like vinegar or lemon juice). This acid will react with the calcium carbonate to provide salt, water, and carbon dioxide gas.
Calcium carbonate is a nutritional supplement used whilst the amount of calcium taken in the weight loss plan is not enough. Calcium is needed via the frame for healthful bones, muscle groups, anxious devices, and the heart. Calcium carbonate also is used as an antacid to relieve heartburn, acid indigestion, and a disillusioned stomach.
Calcium carbonate is the salt of a sturdy base (due to the presence of the calcium ion) and a vulnerable acid (because of the presence of the carbonate ion, generally derived from carbonic acid). consequently, this salt is mildly basic in nature.
Calcium carbonate reacts with water that is saturated with carbon dioxide to shape the soluble calcium bicarbonate. This response is essential in the erosion of carbonate rock, forming caverns, and results in difficult water in lots of regions.
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Which of the following sets of quantum numbers contains an error?Group of answer choices:n = 4, l = 3, ml = -2, ms = -1/2n = 2, l = 0, ml = +2, ms = -1/2n = 3, l = 2, ml = 0, ms = -1/2n = 3, l = 1, ml = +1, ms = +1/2n = 2, l = 1, ml = 0, ms = -1/2
Answer
n = 2, l = 0, ml = +2, ms = -1/2
n = 3, l = 1, ml = +1, ms = +1/2
Explanation
In atoms, there are a total of four quantum numbers namely;
The principal quantum number (n), n = 1, 2, 3, ....
The orbital angular momentum quantum number (l), for n = 3, l = (n - 1) = 0, 1, 2, The magnetic quantum number (ml), for l = 2, ml = (-l, 0, +l) = -2, -1, 0, +1, +2, and The electron spin quantum number (ms), ms = -1/2, +1/2
Therefore, the following sets of quantum numbers contains an error among the given sets:
n = 2, l = 0, ml = +2, ms = -1/2
n = 3, l = 1, ml = +1, ms = +1/2
Sperm penetrate the oocyte using acrosomal enzymes. It must penetrate both the __________ (cellular layer) and the underlying ____________ (glycoprotein layer).
Answer:
I believe the answers are "granulosa cells" and "zona pellucida"
In sexual reproduction in humans, the sperm penetrate the oocyte using acrosomal enzymes. It must penetrate both the granulosa cells and zona pellucida.
What is sexual reproduction?
Sexual reproduction is a type of reproduction where the offsprings are produced by the combination of genetic material of two individuals which are of different sexes.
It is the dominant form of reproduction in living beings. Here, the genetic information is stored in chromosomes which are present in the nucleus of reproductive cells which are called gametes.Gametes fuse to form a diploid zygote.Zygote then develops into a new living being.
Because of sexual reproduction variations in living beings are possible because of reshuffling of genetic material. Here, haploid gametes form diploid zygotes except in case of bacteria.
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Carbohydrates serve as a vital source of chemical energy to the human body. Carbohydrates are broken down into smaller units of glucose, among other sugars, providing energy to various muscles and organs, including the brain. On average, for every 10.0 g of carbohydrates consumed, the body will store 170 kJ of energy.
The kilocalories of the 170KJ energy value = 40.6 kcal
What are carbohydrates?Carbohydrate is defined as the major class of nutrients in food and food products that are organic macromolecule which are capable of giving body energy when broken down to its smallest unit called glucose.
The functions of carbohydrates in the body include the following:
They provide energy to the body.They spare the use of proteins in the body for energy.They assist in lipid metabolism.For every 10 g of carbohydrates that is being consumed, 170 kilojoules of energy is obtained.
To convert 170 kilojoules to kilocalories;
1 kilocalorie = 4.184 kilojoules
X kcal = 170 kJ
make X kcal the subject of formula,
X kcal = 170/4.184
X kcal = 40.6 kilo calories.
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Among the following travelling objects, which has the shortest de Broglie
wavelength?
Hint. It is not necessary to calculate the wavelength for each object. The quickest
way to answer this question is to consider how the de Broglie wavelength depends
on the momentum (mass x speed).
ma
O
A Boeing 777 airplane (mass 2.5×105 kg) flying at a speed of 250 m/s (560 mph)
A bird of mass 2x10-2 kg flying at a speed of 10 m/s
A car of mass 2x10³ kg driving at a speed of 50 m/s
HADEMA kelaparas pasikei
E OS
KAMA MŪ
A person of mass 80 kg running at a speed of 3 m/s
A Neon atom (mass 3.4×10-26
danaume
para
kg) traveling at a speed of 3×10³ m/s
Among the following travelling objects, which has the shortest de Broglie wavelength, Neon atom (mass 3.4×10-26 kg) traveling at a speed of 3×10³ m/s.
What is de Broglie wavelength?
The de Broglie wavelength is an important term to understand when studying quantum mechanics. The de Broglie wavelength () is the wavelength () associated with an item in relation to its momentum and mass. The de Broglie wavelength of a particle is usually inversely related to its force.Matter is thought to have a wave-particle dual nature. De Broglie waves, named after the discoverer Louis de Broglie, are the characteristics of a material item that fluctuates in time or space while acting like waves. It is sometimes referred to as matter-waves. It is very similar to the dual nature of light, which has been empirically demonstrated to act as both a particle and a wave.
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Chromium has three naturally-occurring isotopes. It is 80% Chromium-52, 14% Chromium-53, and 6% Chromium-51. What is the average atomic mass?520.80 amu 5208 amu 52.08 amu 79.62 amu
PLEASE HELP
The average atomic mass of chromium with three isotopes is 52.08amu (option C).
How to calculate average atomic mass?Average atomic mass is the weighted average of the atomic masses of the naturally occurring isotopes of an element.
The average atomic mass of an isotopic element can be calculated as follows:
80% Chromium-5214% Chromium-536% Chromium-51Average atomic mass = (80% of 52) + (14% of 53) + (6% of 51)
Average atomic mass = 41.6 + 7.42 + 3.06
Average atomic mass = 52.08amu.
Therefore, 52.08amu is the average atomic mass of the chromium isotopes.
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Glucose and fructose are simple sugars with the molecular formula C6H12O6. Sucrose (table
sugar) is a complex sugar with molecular formula C12H22O11 that consists of a glucose unit
covalently bound to a fructose unit (a water molecule is eliminated as a result of the reaction
between glucose and fructose to form sucrose).a. Calculate the energy released as heat when a typical table sugar cube of mass 1.5 g
is burned in air.
b. To what height could you climb on the energy a table sugar cube provides assuming
25 % of the energy is available for work?
c. The mass of a typical glucose tablet is 2.5 g. Calculate the energy released as heat
when a glucose tablet is burned in air.
d. To what height could you climb on the energy a tablet provides assuming 25% of
the energy is available for work?
The energy released as heat when a typical table sugar cube of mass 1.5 g is burned in air is 24.78 KJ energy.
What is energy?Energy is defined as the quantitative property that is transferred to a body or physical system and is visible in the performance of work as well as in the form of heat and light.
A. Table sugar is sucrose.
According to the data, its molecular formula is C12H22O11 and its molecular weight is 342 g when 1 mole of sucrose gives 5650 KJ/mole energy on combustion. 1.5 g equals 0.00438 moles of energy is 24.78 KJ.
B. According to Newton's laws, 25% of the above released energy is used for work, which equals 6.19 KJ.
6.19 KJ = 6190 joules
U= mgh
U= ENERGY = WORK
m = mass of the object here mass of a normal adult
g = gravity =9.8 m/s2
h = height in meters
The height that can be climbed based on the above data is = 12.63m.
C. When 1 mole of glucose gives 2805 KJ/mole energy on combustion, its molecular formula is C6H12O6
Molecular weight is 180 g.
2.5 g equates to 0.0138 moles producing 38.95 kJ of energy.
D. 25% of the previously released energy is used for work, which means
According to Newton's laws, 9.73kJ is used.
9.73 KJ = 9730 joules
U= mgh
U= ENERGY = WORK
m = mass of the object here mass of a normal adult
g = gravity =9.8 m/s2
h = height in meters
Height = 19.85m based on the above data
Thus, the energy released as heat when a typical table sugar cube of mass 1.5 g is burned in air is 24.78 KJ energy.
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Which types of orbitals are found in the principal energy level n=2?
The kind of orbitals precisely found in the principal energy level n=2 are the one 2s orbital and three 2p orbitals
Why the n=2 orbital has four orbitals?It follows that in the electronic configuration of elements describes the distribution of electrons of elements is shared into different energy levels through the orbitals.
In the second orbital, there are actually four different types of orbitals which are found here, these are:
The one 2s orbitalThe three 2p orbitals.The position of elements in the periodic table is largely based on the shared electrons of atoms which are being technically distributed at various level.
An element is a substance which cannot be split into different forms by ordinary means. Electrons revolve around the orbits of atoms of elements.
So therefore, from the given explanation above, it can be deduced that the the second energy level has four different orbitals.
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H₂Se
# of Valence e" =
Lewis Structure:
Draw the Molecular Geometry
(using dashes and wedges):
Se
of e Groups =
Hybridization =
Electronic Geometry:
Molecular Geometry:
Polar or Nonpolar?
the correct answer is electrons
An oil tanker holds 3.24 • 10^7 gallons of crude oil. The mass of the oil is 2.13 • 10^8 pounds. What is the density of the oil in kilograms per liter?
Answer
The density of the oil in kilograms per liter is 0.78775
Explanation
Note: 1 gallon = 3.78541 liters
1 pound = 0.453592 kilogram
Given:
The gallons (volume) of crude oil = 3.24 x 10⁷ gallons
The mass of the crude oil = 2.13 x 10⁸ pounds
Conversion:
The volume in liters of 3.24 x 10⁷ gallons of crude oil will be
[tex]\begin{gathered} =3.78541\times3.24\times10^7 \\ =1.22647\times10^8\text{ liters} \end{gathered}[/tex]Also, the mass in kilograms of 2.13 x 10⁸ pounds of crude oil will be
[tex]\begin{gathered} =0.453592\times2.13\times10^8 \\ =9.6615\times10^7\text{ kilograms} \end{gathered}[/tex]Now, we shall use the formula below to calculate the density
[tex]\begin{gathered} \text{Density = }\frac{Mass\text{ in kilograms}}{\text{Volume in liter}} \\ \text{Mass in kilograms = 9.6615 }\times10^7 \\ Volume\text{ in liters =}1.22647\times10^8 \\ \therefore Density\text{ in kilograms per liter = }\frac{\text{9.6615 }\times10^7}{1.22647\times10^8}=0.78775^{} \end{gathered}[/tex]Gaseous ammonia chemically reacts with oxygen (O₂) gas to produce nitrogen monoxide gas and water vapor. Calculate the
moles of water produced by the reaction of 1.1 mol of ammonia. Be sure your answer has a unit symbol, if necessary, and
round it to 2 significant digits.
?
The moles of water produced by the reaction of 1.1mol of ammonia with oxygen gas will be 1.65moles.
According to given reaction in the question,
2NH₃(g) + 5/2O₂ --- 2NO(g) + 3H₂O(g)
1.1mole
We know,
mole of H₂O ÷ coefficient of H₂O = mole of NH₃ ÷ coefficient of NH₃
mole of H₂O ÷ 3 = 1.1 ÷ 2
moles of H₂O = 1.65 or 1.6 moles
Therefore, the moles of water produced by the reaction of 1.1mol of ammonia with oxygen gas will be 1.65moles.
When the gaseous ammonia reacts with the oxygen we obtain nitrogen monoxide and water vapour. This reaction is a combustion reaction as well as a red-ox reaction.
Moreover, it is an exothermic process as a large amount of heat is liberated.
An oxidation-reduction(redox) reaction is a type of chemical reaction that involves a transfer of electrons between two species.
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When lithium chloride, LiCl, dissolves in water, which of the following is formed in aqueous solution?
When lithium chloride, LiCl, dissolves in water, it forms lithium ions, [tex]Li^{+}[/tex], in aqueous solution with water, [tex]H_{2}O[/tex].
Water has a higher solubility for lithium chloride than non-polar solvents. The LiCl crystal is destroyed as a result of the interactions between the ions and the polar water molecules, and the hydrogen bonding structure of the H2O molecules in the liquid water is also disrupted, allowing the ions to be incorporated among the water molecules.
The ions in the crystal lattice would not be attracted to non-polar molecules very strongly. LiCl would continue to be in the crystal structure while the non-polar molecules would continue to be attracted to one another by the weak London force.
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1.)What do you call a way of acquiring knowledge through experiment?
a.Academic method C.Scientific method
b.Experimental method d.Scietific notation
2.)What is the first method you must do in order to make a research theory?
a.Share the results c.Observe and question
b.Analyze and conclude d.Formulate a hypothesis
3.)Which of the following is the MOST important trait in the first step of scientific method,observe and question?
a.Senses C.Teamwork
b.Mathematical Formula d.Scientific Values
4.)What is the last step you must do in order to make a research theory?
a.Share the results c.Observe and question
b.Analyze and conclude d.Formula and a hypothesis
5.)Which of the following traits must you AVOID in making and analyzing a conclusion?
a.Be objective c.Be biased
b.Be sensible d.Include scientific values
Answer: B,C,not sure,A,C
Explanation:
explain state function and exact differential?
Answer:
State Function: A system will be said to have a state function when its properties are independent of the path followed to carry out the state and it is fixated on a particular state.
Examples of state function are Pressure, Temperature, Mass, Volume & all the thermodynamics quantity (H, G, A, U, S).
A quantity which depends on the path followed is known as a path function. In thermodynamics, there are only two path functions: work and heat.
Exact differential: The differential of a state function for an infinitesimally small change in its property is called an exact differential.
Mathematically say phi is a function of x and y,
[tex] \phi \: = f(x, y)[/tex]
The overall change in phi i.e. dΦ will be,
[tex]d \phi \: = ( \frac{∂ \phi}{∂x})_ydx + ( \frac{∂ \phi}{∂y})_xdy[/tex]
let,
[tex]( \frac{ ∂\phi}{∂x})_y = m,( \frac{∂ \phi}{∂y})_x = n[/tex]
if Φ is a state function of x and y then,
[tex]( \frac{ ∂m}{∂y})_x =( \frac{ ∂n}{∂x})_y[/tex]
Cross reciprocality theorem.
substituting the value of m & n,
[tex][\frac{ ∂}{∂y}( \frac{ ∂\phi}{∂x})_y]_x =[ \frac{ ∂}{∂x}( \frac{ ∂\phi}{∂y})_x]_y[/tex]
Simplifying,
[tex] \frac{ {∂}^{2} \phi }{∂y \cdot ∂x} = \frac{ {∂}^{2} \phi }{∂x \cdot ∂y}[/tex]
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Perform the following operationand express the answer inscientific notation.9.2x107 = 3.7x109[][ ? ]x10?)Coefficient (green)Exponent (yellow)Enter
ANSWER
Coefficient = 2.49
Exponent = -2
STEP-BY-STEP EXPLANATION:
From the question provided, you are asked to simplified the below expression
[tex]9.2\cdot10^{7\text{ }}\div3.7\cdot10^9^{}[/tex]The expression can be re-arrange below as
[tex]\frac{9.2\cdot10^7}{3.7\cdot10^9}[/tex][tex]\begin{gathered} \text{ According to the 2nd law of indicies, recall that, } \\ x^a\text{ }\div x^b=x^{a\text{ - b}} \end{gathered}[/tex][tex]\begin{gathered} =\frac{9.2}{3.7}\cdot10^{7\text{ - 9}}^{} \\ =2.49\cdot10^{-2} \end{gathered}[/tex]Therefore, the coefficient is 2.49 and the Exponent is -2
Sue has a cup of hot chocolate and a cup of cold chocolate milk. Select the statement that describes which drink
has more kinetic energy.
Answer:
The cup of hot chocolate.
Explanation:
Thermal energy is measured based on the amount of kinetic energy in an object. Thus, concluding that the cup of hot chocolate contains more kinetic energy than the cup of cold chocolate milk.
Hope this helps!
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