Law of Gases (Boyle's Law, Charles's Law, Gay-Lussac's Law, Avogadro's Law)
Kinetic Theory of Gases

138960 The initial pressure and volume of a gas is ' $P$ ' and ' $V$ ' respectively. First by isothermal process gas is expanded to volume ' $9 \mathrm{~V}$ ' and then by adiabatic process its volume is compressed to ' $V$ ' then its final pressure is (Ratio of specific heat at constant pressure to constant volume $=\frac{\mathbf{3}}{\mathbf{2}}$ )

1 $6 \mathrm{P}$
2 $27 \mathrm{P}$
3 $3 \mathrm{P}$
4 $9 \mathrm{P}$
Kinetic Theory of Gases

138961 A diatomic gas $[\gamma=1.4]$ does $200 \mathrm{~J}$ of work when it is expanded isobarically. Find the heat given to the gas in the process.

1 $500 \mathrm{~J}$
2 $700 \mathrm{~J}$
3 $600 \mathrm{~J}$
4 $900 \mathrm{~J}$
Kinetic Theory of Gases

138962 An ideal gas having pressure $P$, volume $V$ and temperature $T$ is allowed to expand adiabatically until its volume becomes $4 \mathrm{~V}$ while its temperature falls to $T / 2$. The adiabatic exponent of the gas is

1 1.66
2 1.50
3 1.40
4 1.33
Kinetic Theory of Gases

138965 A diatomic ideal gas is compressed adiabatically to $\frac{1}{32}$ of its initial volume. If the initial temperature of the gas is $T_{1}$ (in Kelvin) and the final temperature is $\alpha T_{1}$, the value of ' $\alpha$ ' is

1 4
2 6
3 5
4 2
Kinetic Theory of Gases

138966 An ideal gas is found to obey $\mathrm{pV}^{3 / 2}=$ constant during an adiabatic process. If such a gas initially at a temperature $T$ is adiabatically compressed to half to its initial volume, then its final temperature is

1 $\sqrt{2} \mathrm{~T}$
2 $2 \mathrm{~T}$
3 $2 \sqrt{2 \mathrm{~T}}$
4 $4 \mathrm{~T}$
Kinetic Theory of Gases

138960 The initial pressure and volume of a gas is ' $P$ ' and ' $V$ ' respectively. First by isothermal process gas is expanded to volume ' $9 \mathrm{~V}$ ' and then by adiabatic process its volume is compressed to ' $V$ ' then its final pressure is (Ratio of specific heat at constant pressure to constant volume $=\frac{\mathbf{3}}{\mathbf{2}}$ )

1 $6 \mathrm{P}$
2 $27 \mathrm{P}$
3 $3 \mathrm{P}$
4 $9 \mathrm{P}$
Kinetic Theory of Gases

138961 A diatomic gas $[\gamma=1.4]$ does $200 \mathrm{~J}$ of work when it is expanded isobarically. Find the heat given to the gas in the process.

1 $500 \mathrm{~J}$
2 $700 \mathrm{~J}$
3 $600 \mathrm{~J}$
4 $900 \mathrm{~J}$
Kinetic Theory of Gases

138962 An ideal gas having pressure $P$, volume $V$ and temperature $T$ is allowed to expand adiabatically until its volume becomes $4 \mathrm{~V}$ while its temperature falls to $T / 2$. The adiabatic exponent of the gas is

1 1.66
2 1.50
3 1.40
4 1.33
Kinetic Theory of Gases

138965 A diatomic ideal gas is compressed adiabatically to $\frac{1}{32}$ of its initial volume. If the initial temperature of the gas is $T_{1}$ (in Kelvin) and the final temperature is $\alpha T_{1}$, the value of ' $\alpha$ ' is

1 4
2 6
3 5
4 2
Kinetic Theory of Gases

138966 An ideal gas is found to obey $\mathrm{pV}^{3 / 2}=$ constant during an adiabatic process. If such a gas initially at a temperature $T$ is adiabatically compressed to half to its initial volume, then its final temperature is

1 $\sqrt{2} \mathrm{~T}$
2 $2 \mathrm{~T}$
3 $2 \sqrt{2 \mathrm{~T}}$
4 $4 \mathrm{~T}$
Kinetic Theory of Gases

138960 The initial pressure and volume of a gas is ' $P$ ' and ' $V$ ' respectively. First by isothermal process gas is expanded to volume ' $9 \mathrm{~V}$ ' and then by adiabatic process its volume is compressed to ' $V$ ' then its final pressure is (Ratio of specific heat at constant pressure to constant volume $=\frac{\mathbf{3}}{\mathbf{2}}$ )

1 $6 \mathrm{P}$
2 $27 \mathrm{P}$
3 $3 \mathrm{P}$
4 $9 \mathrm{P}$
Kinetic Theory of Gases

138961 A diatomic gas $[\gamma=1.4]$ does $200 \mathrm{~J}$ of work when it is expanded isobarically. Find the heat given to the gas in the process.

1 $500 \mathrm{~J}$
2 $700 \mathrm{~J}$
3 $600 \mathrm{~J}$
4 $900 \mathrm{~J}$
Kinetic Theory of Gases

138962 An ideal gas having pressure $P$, volume $V$ and temperature $T$ is allowed to expand adiabatically until its volume becomes $4 \mathrm{~V}$ while its temperature falls to $T / 2$. The adiabatic exponent of the gas is

1 1.66
2 1.50
3 1.40
4 1.33
Kinetic Theory of Gases

138965 A diatomic ideal gas is compressed adiabatically to $\frac{1}{32}$ of its initial volume. If the initial temperature of the gas is $T_{1}$ (in Kelvin) and the final temperature is $\alpha T_{1}$, the value of ' $\alpha$ ' is

1 4
2 6
3 5
4 2
Kinetic Theory of Gases

138966 An ideal gas is found to obey $\mathrm{pV}^{3 / 2}=$ constant during an adiabatic process. If such a gas initially at a temperature $T$ is adiabatically compressed to half to its initial volume, then its final temperature is

1 $\sqrt{2} \mathrm{~T}$
2 $2 \mathrm{~T}$
3 $2 \sqrt{2 \mathrm{~T}}$
4 $4 \mathrm{~T}$
Kinetic Theory of Gases

138960 The initial pressure and volume of a gas is ' $P$ ' and ' $V$ ' respectively. First by isothermal process gas is expanded to volume ' $9 \mathrm{~V}$ ' and then by adiabatic process its volume is compressed to ' $V$ ' then its final pressure is (Ratio of specific heat at constant pressure to constant volume $=\frac{\mathbf{3}}{\mathbf{2}}$ )

1 $6 \mathrm{P}$
2 $27 \mathrm{P}$
3 $3 \mathrm{P}$
4 $9 \mathrm{P}$
Kinetic Theory of Gases

138961 A diatomic gas $[\gamma=1.4]$ does $200 \mathrm{~J}$ of work when it is expanded isobarically. Find the heat given to the gas in the process.

1 $500 \mathrm{~J}$
2 $700 \mathrm{~J}$
3 $600 \mathrm{~J}$
4 $900 \mathrm{~J}$
Kinetic Theory of Gases

138962 An ideal gas having pressure $P$, volume $V$ and temperature $T$ is allowed to expand adiabatically until its volume becomes $4 \mathrm{~V}$ while its temperature falls to $T / 2$. The adiabatic exponent of the gas is

1 1.66
2 1.50
3 1.40
4 1.33
Kinetic Theory of Gases

138965 A diatomic ideal gas is compressed adiabatically to $\frac{1}{32}$ of its initial volume. If the initial temperature of the gas is $T_{1}$ (in Kelvin) and the final temperature is $\alpha T_{1}$, the value of ' $\alpha$ ' is

1 4
2 6
3 5
4 2
Kinetic Theory of Gases

138966 An ideal gas is found to obey $\mathrm{pV}^{3 / 2}=$ constant during an adiabatic process. If such a gas initially at a temperature $T$ is adiabatically compressed to half to its initial volume, then its final temperature is

1 $\sqrt{2} \mathrm{~T}$
2 $2 \mathrm{~T}$
3 $2 \sqrt{2 \mathrm{~T}}$
4 $4 \mathrm{~T}$
Kinetic Theory of Gases

138960 The initial pressure and volume of a gas is ' $P$ ' and ' $V$ ' respectively. First by isothermal process gas is expanded to volume ' $9 \mathrm{~V}$ ' and then by adiabatic process its volume is compressed to ' $V$ ' then its final pressure is (Ratio of specific heat at constant pressure to constant volume $=\frac{\mathbf{3}}{\mathbf{2}}$ )

1 $6 \mathrm{P}$
2 $27 \mathrm{P}$
3 $3 \mathrm{P}$
4 $9 \mathrm{P}$
Kinetic Theory of Gases

138961 A diatomic gas $[\gamma=1.4]$ does $200 \mathrm{~J}$ of work when it is expanded isobarically. Find the heat given to the gas in the process.

1 $500 \mathrm{~J}$
2 $700 \mathrm{~J}$
3 $600 \mathrm{~J}$
4 $900 \mathrm{~J}$
Kinetic Theory of Gases

138962 An ideal gas having pressure $P$, volume $V$ and temperature $T$ is allowed to expand adiabatically until its volume becomes $4 \mathrm{~V}$ while its temperature falls to $T / 2$. The adiabatic exponent of the gas is

1 1.66
2 1.50
3 1.40
4 1.33
Kinetic Theory of Gases

138965 A diatomic ideal gas is compressed adiabatically to $\frac{1}{32}$ of its initial volume. If the initial temperature of the gas is $T_{1}$ (in Kelvin) and the final temperature is $\alpha T_{1}$, the value of ' $\alpha$ ' is

1 4
2 6
3 5
4 2
Kinetic Theory of Gases

138966 An ideal gas is found to obey $\mathrm{pV}^{3 / 2}=$ constant during an adiabatic process. If such a gas initially at a temperature $T$ is adiabatically compressed to half to its initial volume, then its final temperature is

1 $\sqrt{2} \mathrm{~T}$
2 $2 \mathrm{~T}$
3 $2 \sqrt{2 \mathrm{~T}}$
4 $4 \mathrm{~T}$