Question

Boyle’s law states that the volume of a gas is inversely proportional to its pressure if the

Answer 1

Boyle’s law states that the volume of gas is inversely proportional to its pressure if $\boxed{{\text{A}}{\text{. temperature and number of particles are constant}}{\text{.}}}$

Further Explanation:

An ideal gas consists of a number of randomly moving particles that are supposed to have perfectly elastic collisions among themselves. The concept of ideal gas is hypothetical. It is just a theoretical concept and practically no such gas exists. But gases tend to behave almost ideally at a higher temperature and lower pressure.

Ideal gas law is considered as the equation of state for any hypothetical gas. The expression for the ideal gas equation is as follows:

$\boxed{{\mathbf{PV = nRT}}}$                                         ...... (1)

Here,

P is the pressure of the gas.

V is the volume of the gas.

T is the temperature of the gas.

n represents the moles of gas.

R is the universal gas constant.

Boyle’s law:

It is an experimental gas law that describes the relationship between pressure and volume of the gas. According to Boyle's law, the volume of the gas is inversely proportional to the pressure of the system, provided that the temperature and the number of moles of gas remains constant.

(A) If temperature and the number of particles are constant, equation (1) becomes;

${\mathbf{PV = k}}$                                               ...... (2)

Here, k is a quantity that results from the combination of three constant quantities (n, R, T).

On rearranging equation (2), we get:

${\mathbf{P}} \propto \frac{1}{{\mathbf{V}}}$

So the pressure of the gas is inversely proportional to its volume which is the equation of Boyle’s law. So statement (A) is correct.

(B) If the temperature reaches absolute zero.

The absolute zero temperature is 0 K.

The equation (1) becomes;

${\mathbf{PV = 0}}$

So pressure and volume of the gas are no longer inversely proportional. Hence statement (B) is incorrect.

(C) If the number of particles decreases, RHS of equation (1) no longer remains constant and therefore the inversely proportional relationship of pressure and volume cannot be achieved. So statement C is incorrect.

(D) If the temperature of gas and the number of particles of gas are doubled, RHS of equation (1) is not a constant but increases to some extent. So pressure and volume of the gas are not inversely proportional to each other. Hence statement (D) is incorrect.

Learn more:

1. The number of significant figures: brainly.com/question/5222111

2. The main purpose of conducting experiments: brainly.com/question/5096428

Answer details:

Grade: High School

Subject: Chemistry

Chapter: Ideal gas equation

Keywords: Boyle’s law, pressure, volume, inversely proportional, absolute zero, temperature, ideal gas, hypothetical, constant, P, V, n, R, T, universal gas constant.

Answer 2

Boyle's law states that the volume of a fixed mass of a gas is inversely proportional to its temperature if the temperature and the number of particles are constant.

Further Explanation

Boyles’s law  

• This gas law states that the volume of a fixed mass of a gas is inversely proportional to its pressure at constant absolute temperature.
• Therefore, when the volume of an ideal gas is increased at constant temperature then the pressure of the gas will also increase.
• Mathematically;  Volume α 1/Pressure

                               Vα1/P

• Therefore, constant k, is = PV

Other gas Laws

Gay-Lussac’s law  

• It states that at constant volume, the pressure of an ideal gas I directly proportional to its absolute temperature.
• Thus, an increase in pressure of an ideal gas at constant volume will result to an increase in the absolute temperature.

Charles’s law

• It states that the volume of a fixed mass of a gas is directly proportional to absolute temperature at constant pressure.
• Therefore, an increase in volume of an ideal gas causes a corresponding increase in its absolute temperature and vice versa while the pressure is held constant.

Dalton’s law  

• It is also known as the Dalton’s law of partial pressure. It states that the total pressure of a mixture of gases is always equivalent to the total sum of the partial pressures of individual component gases.
• Partial pressure refers to the pressure of an individual gas if it occupies the same volume as the mixture of gases.

Keywords: Gas law, Boyles's law, pressure, volume, absolute temperature, ideal gas

Learn more about:

• Boyles’s law: brainly.com/question/2438000
• Gay-Lussac’s law: brainly.com/question/2438000
• Charles’s law:brainly.com/question/2438000
• Dalton’s law:brainly.com/question/2438000

Level: High school

Subject: Chemistry

Topic: Gas laws

Sub-topic: Boyle's Law