05. Isothermal Process
Thermodynamics

148398 A closed gas cylinder is divided into two parts by a piston held tight. The pressure and volume of gas in two parts respectively are $(P, 5 V)$ and $(10 \mathrm{P}, \mathrm{V})$. If now the piston is left free and the system undergoes isothermal process, then the volume of the gas in two parts respectively are

1 $2 \mathrm{~V}, 4 \mathrm{~V}$
2 $3 \mathrm{~V}, 3 \mathrm{~V}$
3 $5 \mathrm{~V}, \mathrm{~V}$
4 $4 \mathrm{~V}, 2 \mathrm{~V}$
5 $2.5 \mathrm{~V}, 3.5 \mathrm{~V}$
Thermodynamics

148403 One mole of $\mathrm{O}_{2}$ gas having a volume equal to 22.4 Litres at $0^{\circ} \mathrm{C}$ and 1 atmospheric pressure in compressed isothermally so that its volume reduces to 11.2 litres. The work done in this process is-

1 $1672.5 \mathrm{~J}$
2 $1728 \mathrm{~J}$
3 $-1728 \mathrm{~J}$
4 $-1572.5 \mathrm{~J}$
Thermodynamics

148399 Which of the accompanying $P-V$ diagrams best represents an isothermal process?
original image

1 $\mathrm{A}$
2 $\mathrm{B}$
3 $\mathrm{C}$
4 $\mathrm{D}$
5 $\mathrm{E}$
Thermodynamics

148404 Assertion: The isothermal curves intersect each other at a certain point.
Reason: The isothermal changes takes place rapidly, so the isothermal curves have very little slope.

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Thermodynamics

148406 The change in the entropy of a 1 mole of an ideal gas which went through an isothermal process from an initial state $\left(P_{1}, V_{1}, T\right)$ to the final state $\left(P_{2}, V_{2}, T\right)$ is equal to

1 zero
2 $\mathrm{R} \ln \mathrm{T}$
3 $\mathrm{R} \ln \frac{\mathrm{V}_{1}}{\mathrm{~V}_{2}}$
4 $\mathrm{R} \ln \frac{\mathrm{V}_{2}}{\mathrm{~V}_{1}}$
Thermodynamics

148398 A closed gas cylinder is divided into two parts by a piston held tight. The pressure and volume of gas in two parts respectively are $(P, 5 V)$ and $(10 \mathrm{P}, \mathrm{V})$. If now the piston is left free and the system undergoes isothermal process, then the volume of the gas in two parts respectively are

1 $2 \mathrm{~V}, 4 \mathrm{~V}$
2 $3 \mathrm{~V}, 3 \mathrm{~V}$
3 $5 \mathrm{~V}, \mathrm{~V}$
4 $4 \mathrm{~V}, 2 \mathrm{~V}$
5 $2.5 \mathrm{~V}, 3.5 \mathrm{~V}$
Thermodynamics

148403 One mole of $\mathrm{O}_{2}$ gas having a volume equal to 22.4 Litres at $0^{\circ} \mathrm{C}$ and 1 atmospheric pressure in compressed isothermally so that its volume reduces to 11.2 litres. The work done in this process is-

1 $1672.5 \mathrm{~J}$
2 $1728 \mathrm{~J}$
3 $-1728 \mathrm{~J}$
4 $-1572.5 \mathrm{~J}$
Thermodynamics

148399 Which of the accompanying $P-V$ diagrams best represents an isothermal process?
original image

1 $\mathrm{A}$
2 $\mathrm{B}$
3 $\mathrm{C}$
4 $\mathrm{D}$
5 $\mathrm{E}$
Thermodynamics

148404 Assertion: The isothermal curves intersect each other at a certain point.
Reason: The isothermal changes takes place rapidly, so the isothermal curves have very little slope.

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Thermodynamics

148406 The change in the entropy of a 1 mole of an ideal gas which went through an isothermal process from an initial state $\left(P_{1}, V_{1}, T\right)$ to the final state $\left(P_{2}, V_{2}, T\right)$ is equal to

1 zero
2 $\mathrm{R} \ln \mathrm{T}$
3 $\mathrm{R} \ln \frac{\mathrm{V}_{1}}{\mathrm{~V}_{2}}$
4 $\mathrm{R} \ln \frac{\mathrm{V}_{2}}{\mathrm{~V}_{1}}$
Thermodynamics

148398 A closed gas cylinder is divided into two parts by a piston held tight. The pressure and volume of gas in two parts respectively are $(P, 5 V)$ and $(10 \mathrm{P}, \mathrm{V})$. If now the piston is left free and the system undergoes isothermal process, then the volume of the gas in two parts respectively are

1 $2 \mathrm{~V}, 4 \mathrm{~V}$
2 $3 \mathrm{~V}, 3 \mathrm{~V}$
3 $5 \mathrm{~V}, \mathrm{~V}$
4 $4 \mathrm{~V}, 2 \mathrm{~V}$
5 $2.5 \mathrm{~V}, 3.5 \mathrm{~V}$
Thermodynamics

148403 One mole of $\mathrm{O}_{2}$ gas having a volume equal to 22.4 Litres at $0^{\circ} \mathrm{C}$ and 1 atmospheric pressure in compressed isothermally so that its volume reduces to 11.2 litres. The work done in this process is-

1 $1672.5 \mathrm{~J}$
2 $1728 \mathrm{~J}$
3 $-1728 \mathrm{~J}$
4 $-1572.5 \mathrm{~J}$
Thermodynamics

148399 Which of the accompanying $P-V$ diagrams best represents an isothermal process?
original image

1 $\mathrm{A}$
2 $\mathrm{B}$
3 $\mathrm{C}$
4 $\mathrm{D}$
5 $\mathrm{E}$
Thermodynamics

148404 Assertion: The isothermal curves intersect each other at a certain point.
Reason: The isothermal changes takes place rapidly, so the isothermal curves have very little slope.

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Thermodynamics

148406 The change in the entropy of a 1 mole of an ideal gas which went through an isothermal process from an initial state $\left(P_{1}, V_{1}, T\right)$ to the final state $\left(P_{2}, V_{2}, T\right)$ is equal to

1 zero
2 $\mathrm{R} \ln \mathrm{T}$
3 $\mathrm{R} \ln \frac{\mathrm{V}_{1}}{\mathrm{~V}_{2}}$
4 $\mathrm{R} \ln \frac{\mathrm{V}_{2}}{\mathrm{~V}_{1}}$
Thermodynamics

148398 A closed gas cylinder is divided into two parts by a piston held tight. The pressure and volume of gas in two parts respectively are $(P, 5 V)$ and $(10 \mathrm{P}, \mathrm{V})$. If now the piston is left free and the system undergoes isothermal process, then the volume of the gas in two parts respectively are

1 $2 \mathrm{~V}, 4 \mathrm{~V}$
2 $3 \mathrm{~V}, 3 \mathrm{~V}$
3 $5 \mathrm{~V}, \mathrm{~V}$
4 $4 \mathrm{~V}, 2 \mathrm{~V}$
5 $2.5 \mathrm{~V}, 3.5 \mathrm{~V}$
Thermodynamics

148403 One mole of $\mathrm{O}_{2}$ gas having a volume equal to 22.4 Litres at $0^{\circ} \mathrm{C}$ and 1 atmospheric pressure in compressed isothermally so that its volume reduces to 11.2 litres. The work done in this process is-

1 $1672.5 \mathrm{~J}$
2 $1728 \mathrm{~J}$
3 $-1728 \mathrm{~J}$
4 $-1572.5 \mathrm{~J}$
Thermodynamics

148399 Which of the accompanying $P-V$ diagrams best represents an isothermal process?
original image

1 $\mathrm{A}$
2 $\mathrm{B}$
3 $\mathrm{C}$
4 $\mathrm{D}$
5 $\mathrm{E}$
Thermodynamics

148404 Assertion: The isothermal curves intersect each other at a certain point.
Reason: The isothermal changes takes place rapidly, so the isothermal curves have very little slope.

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Thermodynamics

148406 The change in the entropy of a 1 mole of an ideal gas which went through an isothermal process from an initial state $\left(P_{1}, V_{1}, T\right)$ to the final state $\left(P_{2}, V_{2}, T\right)$ is equal to

1 zero
2 $\mathrm{R} \ln \mathrm{T}$
3 $\mathrm{R} \ln \frac{\mathrm{V}_{1}}{\mathrm{~V}_{2}}$
4 $\mathrm{R} \ln \frac{\mathrm{V}_{2}}{\mathrm{~V}_{1}}$
Thermodynamics

148398 A closed gas cylinder is divided into two parts by a piston held tight. The pressure and volume of gas in two parts respectively are $(P, 5 V)$ and $(10 \mathrm{P}, \mathrm{V})$. If now the piston is left free and the system undergoes isothermal process, then the volume of the gas in two parts respectively are

1 $2 \mathrm{~V}, 4 \mathrm{~V}$
2 $3 \mathrm{~V}, 3 \mathrm{~V}$
3 $5 \mathrm{~V}, \mathrm{~V}$
4 $4 \mathrm{~V}, 2 \mathrm{~V}$
5 $2.5 \mathrm{~V}, 3.5 \mathrm{~V}$
Thermodynamics

148403 One mole of $\mathrm{O}_{2}$ gas having a volume equal to 22.4 Litres at $0^{\circ} \mathrm{C}$ and 1 atmospheric pressure in compressed isothermally so that its volume reduces to 11.2 litres. The work done in this process is-

1 $1672.5 \mathrm{~J}$
2 $1728 \mathrm{~J}$
3 $-1728 \mathrm{~J}$
4 $-1572.5 \mathrm{~J}$
Thermodynamics

148399 Which of the accompanying $P-V$ diagrams best represents an isothermal process?
original image

1 $\mathrm{A}$
2 $\mathrm{B}$
3 $\mathrm{C}$
4 $\mathrm{D}$
5 $\mathrm{E}$
Thermodynamics

148404 Assertion: The isothermal curves intersect each other at a certain point.
Reason: The isothermal changes takes place rapidly, so the isothermal curves have very little slope.

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Thermodynamics

148406 The change in the entropy of a 1 mole of an ideal gas which went through an isothermal process from an initial state $\left(P_{1}, V_{1}, T\right)$ to the final state $\left(P_{2}, V_{2}, T\right)$ is equal to

1 zero
2 $\mathrm{R} \ln \mathrm{T}$
3 $\mathrm{R} \ln \frac{\mathrm{V}_{1}}{\mathrm{~V}_{2}}$
4 $\mathrm{R} \ln \frac{\mathrm{V}_{2}}{\mathrm{~V}_{1}}$