Question

Which of the following laws is applicable for the behavior of a perfect gas?

• A. Boyle’s law
• B. Gay Lussac’s law
• C. Charles’ law
• D. All of the above

Answer 1

The correct option is D

All of the above

Explanation for the correct options:

Option (D) is the correct answer.

Ideal Gas Law: The ideal gas law states that the product of the pressure and the volume of one gram molecule of an ideal gas is equal to the product of the absolute temperature of the gas and the universal gas constant.

Boyle's Law: It states that under a constant temperature when the pressure on a gas increases its volume decreases.

$$\begin{gathered} \mathrm{P}\propto \frac{1}{\mathrm{V}} \\ \frac{{\mathrm{P}}_1}{{\mathrm{P}}_2}=\frac{{\mathrm{V}}_2}{{\mathrm{V}}_1} \end{gathered}$$

Charle's Law: According to this law, at constant pressure and for constant mass, the volume of a gas is directly proportional to the temperature.

$$\begin{gathered} \mathrm{V}\propto \mathrm{T} \\ \frac{{\mathrm{V}}_1}{{\mathrm{T}}_1}=\frac{{\mathrm{V}}_2}{{\mathrm{T}}_2} \end{gathered}$$

Gay Lussac's Law: At the constant volume and mass of a gas, the pressure of that gas is directly proportional to the temperature. This mathematically can be written as:

$$\begin{gathered} \mathrm{P}\propto \mathrm{T} \\ \frac{{\mathrm{P}}_1}{{\mathrm{T}}_1}=\frac{{\mathrm{P}}_2}{{\mathrm{T}}_2} \end{gathered}$$

Avogadro's Law: At constant temperature and pressure the volume of any gas is directly proportional to the number of molecules of that gas.

$$\begin{gathered} \mathrm{V}\propto \mathrm{n} \\ \frac{{\mathrm{V}}_1}{{\mathrm{n}}_1}=\frac{{\mathrm{V}}_2}{{\mathrm{n}}_2} \end{gathered}$$

The gas laws consist of three primary laws: Charles' Law, Boyle's Law, Gay Lussac’s law and Avogadro's Law (all of which will later combine into the General Gas Equation and Ideal Gas Law).

Therefore, option (D) is correct.