06. Adiabatic Process
Thermodynamics

148479 If a monatomic gas is compressed adiabatically to $(1 / 27)^{\text {th }}$ of its initial volume, then its pressure becomes

1 27 times
2 125 times
3 243 times
4 81 times
5 64 times
Thermodynamics

148480 Which of the two, (i) compressing a gas isothermally until its volume is reduced by half (ii) compressing the same gas adiabatically until its volume is reduced by half, will require more work to be done?

1 (i)
2 (ii)
3 Both will require the same amount of work
4 It will depend upon the nature of the gas
Thermodynamics

148481 The initial pressure and volume of a given mass of an ideal gas $\left(\right.$ with $\left.\frac{C_{p}}{C_{v}}=\gamma\right)$, taken in a cylinder fitted with a piston, are $P_{0}$ and $V_{0}$ respectively. At this stage the gas has the same temperature as that of the surrounding medium which is $T_{0}$. It is adiabatically compressed to a volume equal to $\frac{V_{0}}{2}$.
Subsequently the gas is allowed to come to thermal equilibrium with the surroundings. What is the heat released to the surrounding?

1 0
2 $\left(2^{\gamma-1}-1\right) \frac{P_{0} V_{0}}{\gamma-1}$
3 $\gamma \mathrm{P}_{0} \mathrm{~V}_{0} \ln 2$
4 $\frac{\mathrm{P}_{0} \mathrm{~V}_{0}}{2(\gamma-1)}$
Thermodynamics

148482 An ideal gas having initial pressure $P$, volume $V$ and temperature $T$ is allowed to expand adiabatically until its volume becomes $4 \mathrm{~V}$, while its temperature falls to $\frac{T}{2}$. If the work done by the gas the during the expansion is $\alpha P V$, the value of $\alpha$ is

1 1.25
2 1.0
3 1.50
4 2.0
Thermodynamics

148483 When a gas expands adiabatically, its volume is doubled while its absolute temperature is decreased by a factor of 2 . The value of the adiabatic constant is

1 1
2 $5 / 3$
3 2
4 $7 / 5$
Thermodynamics

148479 If a monatomic gas is compressed adiabatically to $(1 / 27)^{\text {th }}$ of its initial volume, then its pressure becomes

1 27 times
2 125 times
3 243 times
4 81 times
5 64 times
Thermodynamics

148480 Which of the two, (i) compressing a gas isothermally until its volume is reduced by half (ii) compressing the same gas adiabatically until its volume is reduced by half, will require more work to be done?

1 (i)
2 (ii)
3 Both will require the same amount of work
4 It will depend upon the nature of the gas
Thermodynamics

148481 The initial pressure and volume of a given mass of an ideal gas $\left(\right.$ with $\left.\frac{C_{p}}{C_{v}}=\gamma\right)$, taken in a cylinder fitted with a piston, are $P_{0}$ and $V_{0}$ respectively. At this stage the gas has the same temperature as that of the surrounding medium which is $T_{0}$. It is adiabatically compressed to a volume equal to $\frac{V_{0}}{2}$.
Subsequently the gas is allowed to come to thermal equilibrium with the surroundings. What is the heat released to the surrounding?

1 0
2 $\left(2^{\gamma-1}-1\right) \frac{P_{0} V_{0}}{\gamma-1}$
3 $\gamma \mathrm{P}_{0} \mathrm{~V}_{0} \ln 2$
4 $\frac{\mathrm{P}_{0} \mathrm{~V}_{0}}{2(\gamma-1)}$
Thermodynamics

148482 An ideal gas having initial pressure $P$, volume $V$ and temperature $T$ is allowed to expand adiabatically until its volume becomes $4 \mathrm{~V}$, while its temperature falls to $\frac{T}{2}$. If the work done by the gas the during the expansion is $\alpha P V$, the value of $\alpha$ is

1 1.25
2 1.0
3 1.50
4 2.0
Thermodynamics

148483 When a gas expands adiabatically, its volume is doubled while its absolute temperature is decreased by a factor of 2 . The value of the adiabatic constant is

1 1
2 $5 / 3$
3 2
4 $7 / 5$
Thermodynamics

148479 If a monatomic gas is compressed adiabatically to $(1 / 27)^{\text {th }}$ of its initial volume, then its pressure becomes

1 27 times
2 125 times
3 243 times
4 81 times
5 64 times
Thermodynamics

148480 Which of the two, (i) compressing a gas isothermally until its volume is reduced by half (ii) compressing the same gas adiabatically until its volume is reduced by half, will require more work to be done?

1 (i)
2 (ii)
3 Both will require the same amount of work
4 It will depend upon the nature of the gas
Thermodynamics

148481 The initial pressure and volume of a given mass of an ideal gas $\left(\right.$ with $\left.\frac{C_{p}}{C_{v}}=\gamma\right)$, taken in a cylinder fitted with a piston, are $P_{0}$ and $V_{0}$ respectively. At this stage the gas has the same temperature as that of the surrounding medium which is $T_{0}$. It is adiabatically compressed to a volume equal to $\frac{V_{0}}{2}$.
Subsequently the gas is allowed to come to thermal equilibrium with the surroundings. What is the heat released to the surrounding?

1 0
2 $\left(2^{\gamma-1}-1\right) \frac{P_{0} V_{0}}{\gamma-1}$
3 $\gamma \mathrm{P}_{0} \mathrm{~V}_{0} \ln 2$
4 $\frac{\mathrm{P}_{0} \mathrm{~V}_{0}}{2(\gamma-1)}$
Thermodynamics

148482 An ideal gas having initial pressure $P$, volume $V$ and temperature $T$ is allowed to expand adiabatically until its volume becomes $4 \mathrm{~V}$, while its temperature falls to $\frac{T}{2}$. If the work done by the gas the during the expansion is $\alpha P V$, the value of $\alpha$ is

1 1.25
2 1.0
3 1.50
4 2.0
Thermodynamics

148483 When a gas expands adiabatically, its volume is doubled while its absolute temperature is decreased by a factor of 2 . The value of the adiabatic constant is

1 1
2 $5 / 3$
3 2
4 $7 / 5$
Thermodynamics

148479 If a monatomic gas is compressed adiabatically to $(1 / 27)^{\text {th }}$ of its initial volume, then its pressure becomes

1 27 times
2 125 times
3 243 times
4 81 times
5 64 times
Thermodynamics

148480 Which of the two, (i) compressing a gas isothermally until its volume is reduced by half (ii) compressing the same gas adiabatically until its volume is reduced by half, will require more work to be done?

1 (i)
2 (ii)
3 Both will require the same amount of work
4 It will depend upon the nature of the gas
Thermodynamics

148481 The initial pressure and volume of a given mass of an ideal gas $\left(\right.$ with $\left.\frac{C_{p}}{C_{v}}=\gamma\right)$, taken in a cylinder fitted with a piston, are $P_{0}$ and $V_{0}$ respectively. At this stage the gas has the same temperature as that of the surrounding medium which is $T_{0}$. It is adiabatically compressed to a volume equal to $\frac{V_{0}}{2}$.
Subsequently the gas is allowed to come to thermal equilibrium with the surroundings. What is the heat released to the surrounding?

1 0
2 $\left(2^{\gamma-1}-1\right) \frac{P_{0} V_{0}}{\gamma-1}$
3 $\gamma \mathrm{P}_{0} \mathrm{~V}_{0} \ln 2$
4 $\frac{\mathrm{P}_{0} \mathrm{~V}_{0}}{2(\gamma-1)}$
Thermodynamics

148482 An ideal gas having initial pressure $P$, volume $V$ and temperature $T$ is allowed to expand adiabatically until its volume becomes $4 \mathrm{~V}$, while its temperature falls to $\frac{T}{2}$. If the work done by the gas the during the expansion is $\alpha P V$, the value of $\alpha$ is

1 1.25
2 1.0
3 1.50
4 2.0
Thermodynamics

148483 When a gas expands adiabatically, its volume is doubled while its absolute temperature is decreased by a factor of 2 . The value of the adiabatic constant is

1 1
2 $5 / 3$
3 2
4 $7 / 5$
Thermodynamics

148479 If a monatomic gas is compressed adiabatically to $(1 / 27)^{\text {th }}$ of its initial volume, then its pressure becomes

1 27 times
2 125 times
3 243 times
4 81 times
5 64 times
Thermodynamics

148480 Which of the two, (i) compressing a gas isothermally until its volume is reduced by half (ii) compressing the same gas adiabatically until its volume is reduced by half, will require more work to be done?

1 (i)
2 (ii)
3 Both will require the same amount of work
4 It will depend upon the nature of the gas
Thermodynamics

148481 The initial pressure and volume of a given mass of an ideal gas $\left(\right.$ with $\left.\frac{C_{p}}{C_{v}}=\gamma\right)$, taken in a cylinder fitted with a piston, are $P_{0}$ and $V_{0}$ respectively. At this stage the gas has the same temperature as that of the surrounding medium which is $T_{0}$. It is adiabatically compressed to a volume equal to $\frac{V_{0}}{2}$.
Subsequently the gas is allowed to come to thermal equilibrium with the surroundings. What is the heat released to the surrounding?

1 0
2 $\left(2^{\gamma-1}-1\right) \frac{P_{0} V_{0}}{\gamma-1}$
3 $\gamma \mathrm{P}_{0} \mathrm{~V}_{0} \ln 2$
4 $\frac{\mathrm{P}_{0} \mathrm{~V}_{0}}{2(\gamma-1)}$
Thermodynamics

148482 An ideal gas having initial pressure $P$, volume $V$ and temperature $T$ is allowed to expand adiabatically until its volume becomes $4 \mathrm{~V}$, while its temperature falls to $\frac{T}{2}$. If the work done by the gas the during the expansion is $\alpha P V$, the value of $\alpha$ is

1 1.25
2 1.0
3 1.50
4 2.0
Thermodynamics

148483 When a gas expands adiabatically, its volume is doubled while its absolute temperature is decreased by a factor of 2 . The value of the adiabatic constant is

1 1
2 $5 / 3$
3 2
4 $7 / 5$