What is the percent by mass of carbon in Al(CO3)3

Answers

Answer 1

The percent by mass of carbon in Al₂(CO₃)₃ is 15.38%.

Mass number(A) of various elements of molecule,

A of Aluminum(Al) = 27

A of Carbon(C) = 12

A of Oxygen(O) = 16

Total molecular mass or molecular weight is the sum of individual atomic masses of each atom in a molecule.

Thus, total molecular mass of molecule Al₂(CO₃)₃ is:

= 27×2 + (12 + 16 × 3)3

= 54 + 180

= 234

Hence, percent % of Carbon = (12×3/ 234)× 100

                                                = (36/ 234 )× 100

                                                = 15.38 %

Thus, the percent by mass of carbon is 15.38 %.

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Related Questions

Hello, can you give me a concept of what anhydrides are and examples, please?​

Answers

Anhydrides :

Anhydrides are binary substances or compounds that are the result of a nonmetal with oxygen.

I leave you 2 steps to make the anhydrides:

1: To make anhydrides, write your nonmetal symbol followed by oxygen.

2: The oxidation numbers must be the same and for this the exchange of oxidation numbers or valence between its non-metallic element and Oxygen is used.

Examples of anhydrides:

1: Chlorous anhydride

[tex]\bold{ \: Cl + O₂ \rightarrow \: Cl₂ O₃}[/tex]

Keep in mind that when it ends in OSO we look for its valence, which in this case would be +3.

2: Iodic anhydride

[tex]\bold{ \: I + O₂ \rightarrow \: I₂ \: O₅}[/tex]

We take into account its symbol that in this would be me and to solve it we must look for its valence that in this case ends in ICO which is already known that its ICO valence is +5.

3: Per bromic anhydride

[tex]\bold{\:Br + O₂ \rightarrow \:Br₂ \:O₇}[/tex]

We take into account its symbol, which in this case would be Br, and to solve it we must find its valence, which in this case ends in ICO, which is already known to have an ICO valence of +7.

The Table of metals and non-metals is attached.

The investigators were able to determine that the footprints were made by a Nike, size 10 tennis shoe; however, they couldn’t match it exactly to the suspect’s shoe. What is TRUE about this piece of evidence?

A.
They were unable to find class nor individual characteristics.

B.
They were only able to find class characteristics.

C.
They were only able to find individual characteristics.

D.
They were able to find both class and individual characteristics.

Answers

Answer

the correct answer would be A

Explanation:

They were unable to find class nor individual characteristics.

4. A balloon filled with 2 L of air is at 313 K. Suppose the temperature increases to 600 K. Calculatewhat happens to the volume of the balloon.

Answers

According to Charle's law, a balloon at 600 K has a volume of 3.83 L.

Describe Charles's law.

Charles' law states that, under constant pressure, the volume a given amount of gas fills is directly proportional to its absolute temperature. For instance, when the temperature drops during the winter, a basketball placed outside in the ground would contract.

Mathematically, Charles' law can be written as V1/T1 = V2/T2, where V1 denotes the volume at the beginning, T1 the temperature at that point, and V2 the volume at the end with T2 the temperature at that point.

The following examples of how Charles' law is applied in real life:

Helium balloons shrink when it's cold outside.

From Charles' law, V/T = constant

V₁/T₁ = V₂/T₂

or, 2/313 = V₂/600

or, V₂ = (2x600)/313

          = 3.83

Hence, form Charles' law we conclude the volume of balloon at 600 K is 3.83 L.

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which hypothesis of thomson’s atomic model was later found to be not true by rutherford and why

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The distribution of positive and negative particles was not uniform. This hypothesis of Thomson’s atomic model was later found to be not true by Rutherford.

Because positive charge particle is in center and the negative charge particle is surround to it.

J.J. Thomson proposed that an atom is a definitely charged sphere wherein negatively charged electrons are embedded in it. Neils Bohr proved it to be false as the mass of any atom is localized inside the middle of an atom which is positively charged even as negatively charged electrons revolve across the effective center.

Thomson was incorrect due to the fact he assumed that the positive charge of an atom become all one uniform blob of count number with the electrons transferring in orbits inside the nucleus. If Thomson's model had been accurate, the alpha particles could skip thru the atomic shape of the foil unimpeded.

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What is the volume if 58.41g of o2 are pumped into a balloon that is at a pressure of 1183.mmHg and 151.4 degrees F?

Answers

The volume of the oxygen into a balloon is, V = 1.70 ml.

Equation :

To calculate the volume of the oxygen using the formula

PV = nRT

where,

P is pressure

V is volume

n is number of moles

R is gas constant

T is temperature

So, the known values are :

P = 1183 mmHg

R = 8.314 J/mol

T = 151.4°F = 66.33°C

mass = 58.41g

n = ?

V = ?

While we don't know the value of n but we know mass so we can calculate number of mole by using formula,

n = m / M

That is,

n is number of mole

m is mass

M is molecular mass

Now, putting values in this

n = 58.41 / 15.99

n = 3.65 mol

Thus, now we know the value of n

Put the value in formula

PV =nRT

1183 mmHg x V = 3.65 mol x 8.314 J/mol x 66.33°C

V = 2012.86 / 1183

V = 1.70 ml

Hence, the volume of the oxygen into a balloon is 1.70 ml.

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The line N is at a wavelength of 590 nm. Calculate the frequency of this light in Hertz

Answers

Answer:

5.08 x 10¹⁴ Hz

Explanation:

To find the frequency, you need to use the following equation:

f = c / λ

In this equation,

-----> f = frequency (Hz)

-----> c = speed of light (3.00 x 10⁸ m/s)

-----> λ = wavelength (m)

After converting the wavelength from nm to m, you can plug the given values into the equation and solve for "f".

 590 nm                     1 m
----------------  x  ------------------------  =  5.90 x 10⁻⁷ m
                              1 x 10⁹ nm

f = c / λ                                                              <----- Given equation

f = (3.00 x 10⁸ m/s) / (5.90 x 10⁻⁷ m)                <----- Insert values

f = 5.08 x 10¹⁴ Hz                                             <----- Divide

imagine you are given a piece of gold and piece of copper both pieces have a volume of 45 cm3,explain which piece of metal would have the larger mass

Answers

Out of gold and copper, gold metal would have larger mass.

What is molar mass?

The mass of any chemical substance divided by the volume of the material is known as the molar mass of that compound.

Given:  The value of volume is same for both the metals = 45

The value of the volume is the same for both the metals = 45 cm3

By using formula of density i.e = mass/volume

Since the volume is the same

The density is directly proportional to the mass.

From the periodic table,

The mass of gold = 196.9 u

The mass of copper = 63.5 u

Since the volume is the same, we consider only the absolute masses value

Hence, gold is heavier than copper metal

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what is the ph of a 0.0520 M solution of HI

Answers

Since hydroiodic acid is a strong acid and completely dissociates, we can use this formula:

pH = -log[H+]

pH = -log[0.0520]

pH = 1.284

What is TRUE about soil used as evidence in forensic science?

A.
It only includes dirt.

B.
It may include pieces of asphalt.

C.
It only includes natural substances.

D.
It cannot be used in a criminal case.

Answers

The statement 'It may include pieces of asphalt' is TRUE about soil used as evidence in forensic science (Option B).

What is forensic science?

Forensic science is a sub-discipline aimed at solving police cases based on evidence found at the crime scene, thereby being a key part of a police investigation. in this sense, pavement structural evaluation may result very useful in forensic science.

Therefore, we can conclude that forensic science is based on evidence found in the crime scene, which may include evidence in the asphalt ([pavement) that is collected by investigators in order to analyze it.

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Answer: B

Explanation:

If 3.05 mol of an ideal gas at 273 K has a volume of 208 L, what will its pressure be in kPa?
Use one of the following values:
R=0.0821 atm. L/mol. K
R= 8.31 kPa L/mol K
R= 62.4 torr. L/mol K
kPa

Answers

Ideal gas equation PV =nRT

The parameters are given in problem : moles (n)  = 2.55 Volume (V) = 205L:Temperature(T) = 273K Pressure = ?kPa

Universal Gas constant  R = 8.31kPa.L/mol.K   substitue all these values in ideal gas equation in PV = nRT

PV = nRT  

Px205 = (2.55)x(8.31)x(273)

P = (3.05)x(8.31)x(273) /205 kPa

P = 33.75 kPa.

The volume of gas particles is negligible. Gas particles are the same size and have no intermolecular forces as other gas particles. Gas particles move randomly according to Newton's laws of motion. An ideal gas is one that obeys the law pv=RT at all pressures and temperatures. At high temperatures and low pressure, the potential energy due to intermolecular forces becomes almost insignificant compared to the kinetic energy of the particles, and the size of the molecules increases compared to the intermolecular voids.

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Solid/liquid/gas
Element/mix/compound
Because........

Answers

Answer:

why alkali metal are called as most reactive elements?


Helpppp

Use the reaction below to solve this problem.

Answers

68.7mL
Explanation:
• 1st. we write the reaction
2HCI(ag) + Ca(OH)2(s)
› CaCI2 (ag) + 2H20
(1).
2ns, we find moles of Ca(OH)2
moles= concentration x volume = 0.125mol/L
X0.05L=6.25X10^-3moles
• we find moles of HCI
mole ratio between HCI and Ca(OH)2 is 2:1
thus moles of HCI=2/1 x
6.25X10^-3moles=1.25x10^-2moles
• we find volume of HC
the concentration is 0.182mol/L
we know that 1L=0.182mol
thus =1.25X10^-2moles / 0.182mol x
1L=0.0687L
Volume of HCI required is 68.7mL

A certain quantity of helium gas is at a temperature of 27°C and a pressure of 1.00 atm. What will the new temperature be if its volume is doubled at the same time that its pressure is decreased to one-half its original value? (Hint: Three variables have been given so what equation will you use?)

Answers

The new temperature of certain quantity of helium gas is at a temperature of 27°C and a pressure of 1.00 atm will be 300 K if its volume is doubled at the same time that its pressure is decreased to one-half its original value.

We will use combined gas law equation to find the new temperature.

We know that

Initial temperature T₁ = 27°c +273 K = 300 K

Initial pressure P₁ = 1.00 ATM

Initial volume V₁ = V

Final volume V₂ = 2 V

Final pressure P₂ = P/2 = 1/2 = 0.5 atm

Now, using the combined gas law equation, which is given as -

P₁V₁ = P₂V₂

 T₁       T₂

where,

P₁ = Initial pressure

P₂ = Final pressure

V₁ = Initial volume

V₂ = Final volume

T₁ = Initial temperature

T₂= Final temperature

Avogadro's law states that equal volumes of gases contains equal number of molecules at same temperature and pressure.

P₁V₁T₂ = P₂V₂T₁

Dividing P₁V₁ on both the sides

P₁V₁T₂  =  P₂V₂T₁

P₁V₁           P₁V₁

We get,

T₂ = P₂V₂T₁

        P₁V₁

Substituting values,

T₂ = 0.5 × 2V × 300 × V

                           1

T₂ = 300K

Hence, the new temperature is 300 K.

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i need help with chemistry equation

Answers

Answer:

86400

Explanation:

24*24*69seconds

I need help with the following question

Answers

The right answer is (KP)-1/2. Option A.

An expression of the equilibrium constant in terms of partial pressure is denoted as Kp. The equilibrium constant Kp is equal to the partial pressure of the product divided by the partial pressure of the reactant, and the partial pressure increases with a force equal to the coefficient of the substance in the equilibrium equation.

Kp is the equilibrium constant used to express equilibrium concentrations at atmospheric pressure and Kc is the equilibrium constant used to express equilibrium concentrations in molar terms. The relationship between Kp and Kc depends on the change in the number of moles of gaseous reactants and products. Kp has exactly the same form as Kc but partial pressure is used instead of concentration. Gases to the right of the formula are at the top of the print, and gases to the left are at the bottom.

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Water has a density of 2g/ml. What is the mass of the water if it fills a 10ml container

Answers

20 Grams of Water.

Grams : mL

2 : 1

4 : 2

6 : 3

8 : 4

10 : 5

12 : 6

14 : 7

16 : 8

18 : 9

20 : 10

Answer:

20 grams

Explanation:

mass = Density × Volume

= M = 2g/ml × 10ml

= 20g

Hydrochloric acid reacts with zinc, giving zinc chloride and hydrogen.Also,hydrochloric acid in concentrated aqueous solution undergoes electrolysis (with electrodes inert).
Define:
a) the mass in grams of the product in the cathode, if there are 0.5 mol/100 ml of HCl in the solution;
b) boiling under normal conditions of the gas obtained in the anode, if the pH of the acid is 2;
c) the mass in grams of the metal obtained in the cathode (electrolyzed glass), if the salt of zinc is formed by the interaction of 3.65 g of hydrochloric acid with zinc.

Answers

Hydrochloric acid reacts with zinc, giving Hydrogen gas and zinc chloride.

What occurs to zinc when zinc and hydrochloric acid interact?An aqueous solution of hydrogen chloride is hydrochloric acid, often called muriatic acid. It is a colorless solution with an overpowering odor.Hydrogen gas and zinc chloride are quickly formed when zinc and hydrochloric acid interact.Zinc metal displaces the hydrogen in a single displacement process to produce zinc chloride and hydrogen gas. Because the related reaction is exothermic, a significant amount of heat is produced: ZnCl2(aq) + H2 + Zn (s) + 2HCl (g)

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A solution is made by mixing 84. g of water and 100. g of hexane ()Calculate the mole fraction of water solution .

Answers

The mole fraction of the water solution is 0.77.

The mole fraction or molar fraction is defined as a unit of the quantity of a constituent, nᵢ, divided by the total quantity of all parts in a combination.

Moles of water = given mass/ molar mass

Moles of water = 84/18

Moles of water = 4.6

Moles of hexane =  given mass/ molar mass

Moles of hexane = 100/76

Moles of hexane = 1.3

Total moles = Moles of water + Moles of hexane

Total moles = 4.6 + 1.3 = 5.9

Mole fraction of water = Moles of water / Total moles

Mole fraction of water = 4.6/5.9

Mole fraction of water = 0.77

Hence, the Mole fraction of water is 0.77.

The mole fraction is the same as the mole percent however in a specific shape in chemistry. Inside the given combination, the range of moles of one constituent is divided by the total number of moles is referred to as the mole fraction. Multiplying the mole fraction of the thing by then we gain the mole percentage of the aspect.

Mole fraction is a unit of awareness, described to be equal to the range of moles of an aspect divided through the whole wide variety of moles of a solution. Because it's miles a ratio, the mole fraction is a unitless expression.

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Law of conservation of mass 21 g of A and 21 g of b produce 17 g of c

Answers

The fact that 21 g of A and 21 g of B produce 17 g of C does not obey the law of conservation of mass.

What is the law of conservation of mass?

The law of conservation of mass states that the mass of a substance can neither be created nor destroyed.

This law further explains that in a chemical reaction, the amount of reactants must be equal to the amount of products in the reaction.

For example, if a substance A of mass 21g reacts with another substance B of mass 21g, the mass of the product C should be 21g + 21g = 42g in order to align with the law of conservation of mass.

However, according to this question, the product C has a mass of 17g, which shows that the law of conservation of mass is not obeyed.

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This is a part of the antihistamines in pharmaceutical chemistry ​

Answers

The classification of Rupatadine is H-1 receptor antagonists or H-1 blockers.

What is rupatadine?

As a platelet-activating factor antagonist and second-generation antihistamine, rupatadine is used to treat allergies. It was found and developed by Uriach [es][2], and it is sold under the trade names Rupafin and a few other names as well. For the treatment of chronic urticaria and allergic rhinitis in adults and children older than 12 years, rutadine fumarate has been approved. It is offered as round, light salmon-colored tablets to be taken orally once day that contain 10 mg of rupatadine (as fumarate).

Rupatadine's effectiveness as a treatment for allergic rhinitis (AR) and chronic idiopathic urticaria (CIU) has been examined in adults and adolescents (aged over 12 years) in several controlled studies, demonstrating a rapid action onset and a great safety characteristics even in long treatment durations of a year.

The drug rupatadine, a dual antagonist of the histamine H1 and platelet activating factor receptors, is used to treat the symptoms of chronic spontaneous urticaria and seasonal and perennial rhinitis. It is available in tablet and liquid formulations for adult and pediatric usage in Canada and has received marketing approval under the trade name Rupel.

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Help me PLEEEEEAAASSEE ASAP I BEG YOU IF YOU KNOW THE ANSWER Which compares the effectiveness of methane and nitrous oxide as a greenhouse gas with that of carbon dioxide. Both methane and nitrous oxide are more effective greenhouse gases than carbon dioxide.
Both methane and nitrous oxide are more effective greenhouse gases than carbon dioxide.


Neither methane nor nitrous oxide is a more effective greenhouse gas than carbon dioxide.

Neither methane nor nitrous oxide is a more effective greenhouse gas than carbon dioxide.


Only methane is a more effective greenhouse gas than carbon dioxide.

Only methane is a more effective greenhouse gas than carbon dioxide.


Only nitrous oxide is a more effective greenhouse gas than carbon dioxide.

Only nitrous oxide is a more effective greenhouse gas than carbon dioxide.

Answers

Both methane and nitrous oxide are more effective greenhouse gases than carbon dioxide.

Measured over twenty years methane is eighty times more powerful than carbon dioxide and causes global warming, while nitrous oxide is 280 times more powerful. During the industrial age, carbon dioxide caused about 10 times more warming than nitrous oxide. But laughing gas is stronger. One pound of gas heats the atmosphere about 300 times more than one pound of carbon in 100 years.

Water vapor is the most powerful greenhouse gas in the Earth's atmosphere and plays a unique role among them. The amount of water vapor in the atmosphere is usually not directly changed by human actions. It depends on the air temperature. Compared to other anthropogenic greenhouse gases, carbon dioxide CO2 has the largest relative contribution to the increase in the greenhouse effect.

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Which is the formula for calculating the mass number of an atom?

A protons + neutrons


B quarks + protons


C protons + electrons


D neutrons + electrons

Answers

Answer:

A: protons + neutrons

Explanation:

protons and neutrons both have the same mass. Their mass is much greater than the mass of an electron so it is deemed negligible

Sulfur and fluorine react in a combination reaction to produce sulfur hexafluoride:

S (s) + 3F2(g) → SF6 (g)

The maximum amount of SF6 that can be produced from the reaction of 32.1 g of sulfur with 114g of fluorine is ________ g.

Answers

Taking into account the reaction stoichiometry, the maximum amount of SF₆ that can be produced from the reaction of 32.1 g of sulfur with 114 g of fluorine is 146.46 grams.

Reaction stoichiometry

In first place, the balanced reaction is:

S + 3 F₂  → SF₆

By reaction stoichiometry (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of moles of each compound participate in the reaction:

S: 1 molesF₂: 3 molesSF₆: 1 mole

The molar mass of the compounds is:

S: 32 g/moleF₂: 19 g/moleSF₆: 146 g/mole

By reaction stoichiometry, the following mass quantities of each compound participate in the reaction:

S: 1 mole ×32 g/mole= 32 gramsF₂: 3 moles ×19 g/mole= 57 gramsSF₆: 1 mole ×146 g/mole= 146 grams

Limiting reagent

The limiting reagent is one that is consumed first in its entirety, determining the amount of product in the reaction.

Limiting reagent in this case

To determine the limiting reagent, it is possible to use a simple rule of three as follows: if by stoichiometry 57 grams of F₂ reacts with 32 grams of S, 114 grams of F₂ reacts with how much mass of S?

mass of F₂= (114 grams of F₂× 32 grams of S)÷ 57 grams of F₂

mass of F₂= 64 grams

But 64 grams of F₂ are not available, 32.1 grams are available. Since you have less mass than you need to react with 114 grams of F₂, S will be the limiting reagent.

Mass of SF₆ formed

Considering the limiting reagent, the following rule of three can be applied: if by reaction stoichiometry 32 grams of S form 146 grams of SF₆, 32.1 grams of S form how much mass of SF₆?

mass of SF₆= (32.1 grams of S× 146 grams of SF₆)÷ 32 grams of S

mass of SF₆= 146.46 grams

Finally, 146.46 grams of SF₆ can be produced from the reaction of 32.1 g of S with 114 g of F₂.

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12) When the pH of a solution decreases, what does that mean for the hydrogen ion concentration?

Answers

When the pH of a solution decreases, hydrogen ion concentration increases

The overall concentration of hydrogen ion is inversely related to its pH and can be measured on the pH on the pH scale which is from 1 to 14 and therefore the more hydrogen ions present, the lower the pH conversely the fewer hydrogen ions the higher the pH as the concentration of hydrogen ion is logarithmically inversely proportional to pH and pH of solution is decreased then hydrogen ion concentration will increase by the power of 10

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How is related the calorific capacity of a substance with its temperature?

Answers

The calorific capacity of a substance related to the temperature when specific heat of a substance ∆Q changes.

What is specific heat?

Specific heat is defined as the heat required to raise the temperature of 1 gram of a substance by one degree.

Specific heat = q/(∆T × mass of the substance)

What is Heat capacity?

Heat Capacity is defined as the amount of heat required to raise the temperature of the system by one degree.

Units of heat capacity :

The unit of heat capacity are joule/kelvin or joule/Celsius.

Heat capacity at constant volume = dU/dTHeat capacity at constant pressure = dH/dT

Thus, we concluded that the calorific capacity of a substance related to the temperature when specific heat of a substance ∆Q changes.

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The atomic radius of carbon is 77 pm, and the atomic radius of sulfur is 103 pm. What is the circumference of each atom?

Answers

Answer:

Circumference of carbon = 483.56 pm

Circumference of sulphur = 1111.56 pm

Explanation:

The circumference is the length of any great circle, the intersection of the sphere with any plane passing through its centre.

For carbon atom:

Atomic radius = 77 pm

Circumference = 2πr

=2 X 3.14 X 77

=154 X 3.14

Circumference of C = 483.56 pm

For sulphur:

Atomic radius = 177 pm

Circumference = 2πr

=2 X 3.14 X 177 pm

=1111.56 pm

Circumference of sulphur = 1111.56 pm

Hence,

The circumference of Carbon is 483.56 and the circumference of sulphur is 1111.56 pm.

The atomic radius of carbon is 77 pm, and the atomic radius of sulfur is 103 pm. What is the circumference of each atom?

ANSWERCARBON - 483.56SULFUR - 646.84

FORMULA

[tex]c \: = 2\pi\:r[/tex]

CARBON

C = 2(3.14)(77)

C = 6.28 × 77

= 483.56

SULFUR

C = 2(3.14)(103)

C = 6.28 × 103

= 646.84

You have plenty of salts that are in front of you and you are trying to figure out which salts are soluble in water, and which ones of their products are soluble in water. For the following equation, identify which reactants and products are soluble/insoluble in water. H2SO4+ Ba(OH)2 =

Answers

Sulfuric acid is a strong acid, which means it can dissociate completely when dissolve in water. In other words, the reactant H2SO4 is completely soluble in water, otherwise, it wouldn't be a strong acid.

On other hand, the second reactant Ba(OH)2 is soluble in water because it's a strong base, which are bases that completely dissociate when dissolve in water.

Therefore, sulfuric acid (H2SO4) is soluble in water and the barium hydroxide (Ba(OH)2) is also soluble in water.

If 4.02g of hydrogen and 32.00 of oxygen react completely to form water, what will be the mass of the water produced? Which scientific law dictates this?

Answers

Answer:

40.04g

Explanation:

the water has one molecule of hydrogen and two molecules of oxygen(H20)

(4.02)(2)(32)

Match the particle with its charge.
neutron
proton
electron
positive (+)
neutral ( )
negative (-)

Answers

Answer:

electron(negative)

neutron(neutral)

proton(positive)

A bicyclist is stopped at the entrance to a valley, as sketched below. Where would the bicyclist have the highest potential energy? Where would The bicyclist have the lowest potential energy? Where would bicyclist have the highest kinetic energy? Where would the bicyclist have the highest speed winning? Conversation with the bicyclist’s Kinetic energy be higher at A or B? With a bicycle is potential energy be higher at A or B? What’s a bicyclist total energy we hire at A or B? Supposed to bicyclist lets off the brakes and coast down into the valley without peddling. Even if there was no friction or air resistance to slow her down, what is the farthest point the bicyclist could reach without peddling?

Answers

Step 1 - Understanding the relation of potential energy, kinectic energy and the conservation of energy

The potential energy is the energy related to a body that can start moving under the influence of a force anytime soon.

The kinf of potential energy depends on the force that could act on the body. When a body is lifted, because gravity can pull it back, we say that this body has gravitational potential energy

Kinetic energy, on the other hand, is related to actual movement. It depends on the mass as well as on the velocity of the body. When we lift an object and drop it next, all the potential energy will be converted to kinetic energy, i.e., the velocity of the object we dropped will be also proportional to the height. It cannot gain more energy.

Step 2 - Interpreting the problem

Now that we know how potential and kinetic energy work, we can start working on the problem. Since potential energy is directly proportional to height, the highest potential energy would be attained at F.

The lowest potential energy, on the other hand, woud be attained at D, i.e., the smaller height.

The highest kinetic energy would be attained when all the potential energy is converted to kinetic energy, i.e., when the bicyclist, starting at A, loses its potential energy reaching D

The speed is directly proportional to the kinetic energy: the higher the speed, the higher the kinetic energy. Since the kinetic energy, as we saw, is the greatest at D, the velocity will also be the greatest at this point.

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