06. Adiabatic Process
Thermodynamics

148475 A sound wave passing through an ideal gas at NTP produces a pressure change of 0.001 dyne/cm ${ }^{2}$ during adiabatic compression. The corresponding change in temperature $(\gamma=1.5$ for the gas and atmospheric pressure is $1.013 \times$ $10^{6}$ dyne/cm ${ }^{2}$ ) is

1 $8.97 \times 10^{-4} \mathrm{~K}$
2 $8.97 \times 10^{-6} \mathrm{~K}$
3 $8.97 \times 10^{-8} \mathrm{~K}$
4 $8.97 \times 10^{-9} \mathrm{~K}$
Thermodynamics

148476 Two containers $A$ and $B$ contain equal volumes of an identical gas at the same pressure and temperature. The gas in container $A$ is compressed to half its original volume isothermally, while the gas in container $B$ is compressed to half its original volume adiabatically. The ratio of the final pressure of gas in container $B$ to that of gas in container $A$ is

1 $(2)^{\gamma-1}$
2 $\left(\frac{1}{2}\right)^{\gamma-1}$
3 $\left(\frac{1}{1-\gamma}\right)^{2}$
4 $\left(\frac{1}{\gamma-1}\right)^{2}$
Thermodynamics

148477 A diatomic gas initially at $18^{\circ} \mathrm{C}$ is compressed adiabatically to one eighth of its original volume. The temperature after compression will be

1 $18^{\circ} \mathrm{C}$
2 $395.4^{\circ} \mathrm{C}$
3 $144^{\circ} \mathrm{C}$
4 $887.4^{\circ} \mathrm{C}$
Thermodynamics

148478 Which of the following is adiabatic gas equation?

1 $\mathrm{PV}=$ Const
2 $\mathrm{PV}^{\gamma}=$ Const
3 $\mathrm{PV}^{\gamma-1}=$ Const
4 $\mathrm{P}^{\gamma}=1 / \mathrm{V}$
[SRM JEE-2018, SRM JEE-2017]
Thermodynamics

148475 A sound wave passing through an ideal gas at NTP produces a pressure change of 0.001 dyne/cm ${ }^{2}$ during adiabatic compression. The corresponding change in temperature $(\gamma=1.5$ for the gas and atmospheric pressure is $1.013 \times$ $10^{6}$ dyne/cm ${ }^{2}$ ) is

1 $8.97 \times 10^{-4} \mathrm{~K}$
2 $8.97 \times 10^{-6} \mathrm{~K}$
3 $8.97 \times 10^{-8} \mathrm{~K}$
4 $8.97 \times 10^{-9} \mathrm{~K}$
Thermodynamics

148476 Two containers $A$ and $B$ contain equal volumes of an identical gas at the same pressure and temperature. The gas in container $A$ is compressed to half its original volume isothermally, while the gas in container $B$ is compressed to half its original volume adiabatically. The ratio of the final pressure of gas in container $B$ to that of gas in container $A$ is

1 $(2)^{\gamma-1}$
2 $\left(\frac{1}{2}\right)^{\gamma-1}$
3 $\left(\frac{1}{1-\gamma}\right)^{2}$
4 $\left(\frac{1}{\gamma-1}\right)^{2}$
Thermodynamics

148477 A diatomic gas initially at $18^{\circ} \mathrm{C}$ is compressed adiabatically to one eighth of its original volume. The temperature after compression will be

1 $18^{\circ} \mathrm{C}$
2 $395.4^{\circ} \mathrm{C}$
3 $144^{\circ} \mathrm{C}$
4 $887.4^{\circ} \mathrm{C}$
Thermodynamics

148478 Which of the following is adiabatic gas equation?

1 $\mathrm{PV}=$ Const
2 $\mathrm{PV}^{\gamma}=$ Const
3 $\mathrm{PV}^{\gamma-1}=$ Const
4 $\mathrm{P}^{\gamma}=1 / \mathrm{V}$
[SRM JEE-2018, SRM JEE-2017]
Thermodynamics

148475 A sound wave passing through an ideal gas at NTP produces a pressure change of 0.001 dyne/cm ${ }^{2}$ during adiabatic compression. The corresponding change in temperature $(\gamma=1.5$ for the gas and atmospheric pressure is $1.013 \times$ $10^{6}$ dyne/cm ${ }^{2}$ ) is

1 $8.97 \times 10^{-4} \mathrm{~K}$
2 $8.97 \times 10^{-6} \mathrm{~K}$
3 $8.97 \times 10^{-8} \mathrm{~K}$
4 $8.97 \times 10^{-9} \mathrm{~K}$
Thermodynamics

148476 Two containers $A$ and $B$ contain equal volumes of an identical gas at the same pressure and temperature. The gas in container $A$ is compressed to half its original volume isothermally, while the gas in container $B$ is compressed to half its original volume adiabatically. The ratio of the final pressure of gas in container $B$ to that of gas in container $A$ is

1 $(2)^{\gamma-1}$
2 $\left(\frac{1}{2}\right)^{\gamma-1}$
3 $\left(\frac{1}{1-\gamma}\right)^{2}$
4 $\left(\frac{1}{\gamma-1}\right)^{2}$
Thermodynamics

148477 A diatomic gas initially at $18^{\circ} \mathrm{C}$ is compressed adiabatically to one eighth of its original volume. The temperature after compression will be

1 $18^{\circ} \mathrm{C}$
2 $395.4^{\circ} \mathrm{C}$
3 $144^{\circ} \mathrm{C}$
4 $887.4^{\circ} \mathrm{C}$
Thermodynamics

148478 Which of the following is adiabatic gas equation?

1 $\mathrm{PV}=$ Const
2 $\mathrm{PV}^{\gamma}=$ Const
3 $\mathrm{PV}^{\gamma-1}=$ Const
4 $\mathrm{P}^{\gamma}=1 / \mathrm{V}$
[SRM JEE-2018, SRM JEE-2017]
Thermodynamics

148475 A sound wave passing through an ideal gas at NTP produces a pressure change of 0.001 dyne/cm ${ }^{2}$ during adiabatic compression. The corresponding change in temperature $(\gamma=1.5$ for the gas and atmospheric pressure is $1.013 \times$ $10^{6}$ dyne/cm ${ }^{2}$ ) is

1 $8.97 \times 10^{-4} \mathrm{~K}$
2 $8.97 \times 10^{-6} \mathrm{~K}$
3 $8.97 \times 10^{-8} \mathrm{~K}$
4 $8.97 \times 10^{-9} \mathrm{~K}$
Thermodynamics

148476 Two containers $A$ and $B$ contain equal volumes of an identical gas at the same pressure and temperature. The gas in container $A$ is compressed to half its original volume isothermally, while the gas in container $B$ is compressed to half its original volume adiabatically. The ratio of the final pressure of gas in container $B$ to that of gas in container $A$ is

1 $(2)^{\gamma-1}$
2 $\left(\frac{1}{2}\right)^{\gamma-1}$
3 $\left(\frac{1}{1-\gamma}\right)^{2}$
4 $\left(\frac{1}{\gamma-1}\right)^{2}$
Thermodynamics

148477 A diatomic gas initially at $18^{\circ} \mathrm{C}$ is compressed adiabatically to one eighth of its original volume. The temperature after compression will be

1 $18^{\circ} \mathrm{C}$
2 $395.4^{\circ} \mathrm{C}$
3 $144^{\circ} \mathrm{C}$
4 $887.4^{\circ} \mathrm{C}$
Thermodynamics

148478 Which of the following is adiabatic gas equation?

1 $\mathrm{PV}=$ Const
2 $\mathrm{PV}^{\gamma}=$ Const
3 $\mathrm{PV}^{\gamma-1}=$ Const
4 $\mathrm{P}^{\gamma}=1 / \mathrm{V}$
[SRM JEE-2018, SRM JEE-2017]