Thermodynamic Processes
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PHXI12:THERMODYNAMICS

371487 An ideal gas at atmospheric pressure is adiabatically compressed so that its density becomes 32 times of its initial value. If the final pressure of gas is 128 atmospheres, the value of ' \(\gamma\) ' of the gas is:

1 1.5
2 1.4
3 1.3
4 1.6
JEE - 2013
PHXI12:THERMODYNAMICS

371488 In an adiabatic expansion of an ideal gas the product of pressure and volume

1 Remains constant
2 At first increases and then decreases
3 Decreases
4 Increases.
PHXI12:THERMODYNAMICS

371489 Assertion :
In adiabatic process, work is independent of the path.
Reason :
In adiabatic process, work done is equal to negative of change in internal energy.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI12:THERMODYNAMICS

371490 An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass \(M\). The piston and the cylinder have equal cross-sectional area \(A\). When the piston is in equilibrium the volume of the gas is \(V_{0}\) and its pressure is \(P_{0}\). The piston is slightly displaced from the equilibrium position and released. Assuming that the system is completely isolated from its surrounding, the piston executes a simple harmonic motion with frequency.

1 \(\frac{1}{{2\pi }}\frac{{A\gamma {P_0}}}{{{V_0}M}}\)
2 \(\frac{1}{{2\pi }}\frac{{{V_0}M{P_0}}}{{{A^2}\gamma }}\)
3 \(\frac{1}{{2\pi }}\sqrt {\frac{{{A^2}\gamma {P_0}}}{{M{V_0}}}} \)
4 \(\frac{1}{{2\pi }}\sqrt {\frac{{M{V_0}}}{{A\gamma {P_0}}}} \)
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PHXI12:THERMODYNAMICS

371487 An ideal gas at atmospheric pressure is adiabatically compressed so that its density becomes 32 times of its initial value. If the final pressure of gas is 128 atmospheres, the value of ' \(\gamma\) ' of the gas is:

1 1.5
2 1.4
3 1.3
4 1.6
JEE - 2013
PHXI12:THERMODYNAMICS

371488 In an adiabatic expansion of an ideal gas the product of pressure and volume

1 Remains constant
2 At first increases and then decreases
3 Decreases
4 Increases.
PHXI12:THERMODYNAMICS

371489 Assertion :
In adiabatic process, work is independent of the path.
Reason :
In adiabatic process, work done is equal to negative of change in internal energy.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI12:THERMODYNAMICS

371490 An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass \(M\). The piston and the cylinder have equal cross-sectional area \(A\). When the piston is in equilibrium the volume of the gas is \(V_{0}\) and its pressure is \(P_{0}\). The piston is slightly displaced from the equilibrium position and released. Assuming that the system is completely isolated from its surrounding, the piston executes a simple harmonic motion with frequency.

1 \(\frac{1}{{2\pi }}\frac{{A\gamma {P_0}}}{{{V_0}M}}\)
2 \(\frac{1}{{2\pi }}\frac{{{V_0}M{P_0}}}{{{A^2}\gamma }}\)
3 \(\frac{1}{{2\pi }}\sqrt {\frac{{{A^2}\gamma {P_0}}}{{M{V_0}}}} \)
4 \(\frac{1}{{2\pi }}\sqrt {\frac{{M{V_0}}}{{A\gamma {P_0}}}} \)
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PHXI12:THERMODYNAMICS

371487 An ideal gas at atmospheric pressure is adiabatically compressed so that its density becomes 32 times of its initial value. If the final pressure of gas is 128 atmospheres, the value of ' \(\gamma\) ' of the gas is:

1 1.5
2 1.4
3 1.3
4 1.6
JEE - 2013
PHXI12:THERMODYNAMICS

371488 In an adiabatic expansion of an ideal gas the product of pressure and volume

1 Remains constant
2 At first increases and then decreases
3 Decreases
4 Increases.
PHXI12:THERMODYNAMICS

371489 Assertion :
In adiabatic process, work is independent of the path.
Reason :
In adiabatic process, work done is equal to negative of change in internal energy.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI12:THERMODYNAMICS

371490 An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass \(M\). The piston and the cylinder have equal cross-sectional area \(A\). When the piston is in equilibrium the volume of the gas is \(V_{0}\) and its pressure is \(P_{0}\). The piston is slightly displaced from the equilibrium position and released. Assuming that the system is completely isolated from its surrounding, the piston executes a simple harmonic motion with frequency.

1 \(\frac{1}{{2\pi }}\frac{{A\gamma {P_0}}}{{{V_0}M}}\)
2 \(\frac{1}{{2\pi }}\frac{{{V_0}M{P_0}}}{{{A^2}\gamma }}\)
3 \(\frac{1}{{2\pi }}\sqrt {\frac{{{A^2}\gamma {P_0}}}{{M{V_0}}}} \)
4 \(\frac{1}{{2\pi }}\sqrt {\frac{{M{V_0}}}{{A\gamma {P_0}}}} \)
NEET DIGITAL LIBRARY
PHXI12:THERMODYNAMICS

371487 An ideal gas at atmospheric pressure is adiabatically compressed so that its density becomes 32 times of its initial value. If the final pressure of gas is 128 atmospheres, the value of ' \(\gamma\) ' of the gas is:

1 1.5
2 1.4
3 1.3
4 1.6
JEE - 2013
PHXI12:THERMODYNAMICS

371488 In an adiabatic expansion of an ideal gas the product of pressure and volume

1 Remains constant
2 At first increases and then decreases
3 Decreases
4 Increases.
PHXI12:THERMODYNAMICS

371489 Assertion :
In adiabatic process, work is independent of the path.
Reason :
In adiabatic process, work done is equal to negative of change in internal energy.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI12:THERMODYNAMICS

371490 An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass \(M\). The piston and the cylinder have equal cross-sectional area \(A\). When the piston is in equilibrium the volume of the gas is \(V_{0}\) and its pressure is \(P_{0}\). The piston is slightly displaced from the equilibrium position and released. Assuming that the system is completely isolated from its surrounding, the piston executes a simple harmonic motion with frequency.

1 \(\frac{1}{{2\pi }}\frac{{A\gamma {P_0}}}{{{V_0}M}}\)
2 \(\frac{1}{{2\pi }}\frac{{{V_0}M{P_0}}}{{{A^2}\gamma }}\)
3 \(\frac{1}{{2\pi }}\sqrt {\frac{{{A^2}\gamma {P_0}}}{{M{V_0}}}} \)
4 \(\frac{1}{{2\pi }}\sqrt {\frac{{M{V_0}}}{{A\gamma {P_0}}}} \)
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