Entropy
PHXI12:THERMODYNAMICS

371217 Assertion :
In an isolated system the entropy increases.
Reason :
The process in an isolated system is adiabatic only.

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

371218 A solid body of constant heat capacity \(1\;J/^\circ C\) is being heated by keeping it in contact with reservoirs in two ways:
(i) Sequentially keeping in contact with 2 reservoirs such that each reservoir supplies same amount of heat.
(ii) Sequentially keeping in contact with 8 reservoirs such that each reservoir supplies same amount of heat. In both the cases body is brought from initial temperature \(100^\circ C\) to final temperature \(200^\circ C\). Entropy change of the body in the two cases respectively is:

1 \(\ln 2,\,\,2\ln 2\)
2 \(2\ln 2,\,8\ln 2\)
3 \(\ln 2,\,4\ln 2\)
4 \(\ln 2,\ln 2\)
PHXI12:THERMODYNAMICS

371219 Calculate the change in entropy of \(n\) moles of a perfect gas when its temperature changes from \(T_{1}\) to \(T_{2}\) while its volume changes from \(V_{1}\) to \(V_{2}\) (Assume that \(P\) is constant)

1 \(n C_{V} \ln \dfrac{T_{2}}{T_{1}}+n R \ln \dfrac{V_{2}}{V_{1}}\)
2 \(n C_{V} \ln \dfrac{T_{2}}{T_{1}}\)
3 \(n R \ln \dfrac{V_{2}}{V_{1}}\)
4 None of these
PHXI12:THERMODYNAMICS

371220 Entropy of the universe tends to be

1 zero
2 maximum
3 minimum
4 constant
PHXI12:THERMODYNAMICS

371221 Calculate the change in entropy when \(1\;g\) of ice at \(0^\circ C\) is heated to water at \(40^\circ C\)
\(\left( {{L_{fus}} = 80\frac{{cal}}{g},{C_{water}} = \frac{{1\;g}}{{^\circ C}}} \right)\)

1 \(0.42\,cal^\circ {C^{ - 1}}\)
2 \(0.28\,cal/^\circ C\)
3 \(1.411\,cal/^\circ C\)
4 \({\rm{None}}\,{\rm{of}}\,{\rm{these}}\)
PHXI12:THERMODYNAMICS

371217 Assertion :
In an isolated system the entropy increases.
Reason :
The process in an isolated system is adiabatic only.

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

371218 A solid body of constant heat capacity \(1\;J/^\circ C\) is being heated by keeping it in contact with reservoirs in two ways:
(i) Sequentially keeping in contact with 2 reservoirs such that each reservoir supplies same amount of heat.
(ii) Sequentially keeping in contact with 8 reservoirs such that each reservoir supplies same amount of heat. In both the cases body is brought from initial temperature \(100^\circ C\) to final temperature \(200^\circ C\). Entropy change of the body in the two cases respectively is:

1 \(\ln 2,\,\,2\ln 2\)
2 \(2\ln 2,\,8\ln 2\)
3 \(\ln 2,\,4\ln 2\)
4 \(\ln 2,\ln 2\)
PHXI12:THERMODYNAMICS

371219 Calculate the change in entropy of \(n\) moles of a perfect gas when its temperature changes from \(T_{1}\) to \(T_{2}\) while its volume changes from \(V_{1}\) to \(V_{2}\) (Assume that \(P\) is constant)

1 \(n C_{V} \ln \dfrac{T_{2}}{T_{1}}+n R \ln \dfrac{V_{2}}{V_{1}}\)
2 \(n C_{V} \ln \dfrac{T_{2}}{T_{1}}\)
3 \(n R \ln \dfrac{V_{2}}{V_{1}}\)
4 None of these
PHXI12:THERMODYNAMICS

371220 Entropy of the universe tends to be

1 zero
2 maximum
3 minimum
4 constant
PHXI12:THERMODYNAMICS

371221 Calculate the change in entropy when \(1\;g\) of ice at \(0^\circ C\) is heated to water at \(40^\circ C\)
\(\left( {{L_{fus}} = 80\frac{{cal}}{g},{C_{water}} = \frac{{1\;g}}{{^\circ C}}} \right)\)

1 \(0.42\,cal^\circ {C^{ - 1}}\)
2 \(0.28\,cal/^\circ C\)
3 \(1.411\,cal/^\circ C\)
4 \({\rm{None}}\,{\rm{of}}\,{\rm{these}}\)
PHXI12:THERMODYNAMICS

371217 Assertion :
In an isolated system the entropy increases.
Reason :
The process in an isolated system is adiabatic only.

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

371218 A solid body of constant heat capacity \(1\;J/^\circ C\) is being heated by keeping it in contact with reservoirs in two ways:
(i) Sequentially keeping in contact with 2 reservoirs such that each reservoir supplies same amount of heat.
(ii) Sequentially keeping in contact with 8 reservoirs such that each reservoir supplies same amount of heat. In both the cases body is brought from initial temperature \(100^\circ C\) to final temperature \(200^\circ C\). Entropy change of the body in the two cases respectively is:

1 \(\ln 2,\,\,2\ln 2\)
2 \(2\ln 2,\,8\ln 2\)
3 \(\ln 2,\,4\ln 2\)
4 \(\ln 2,\ln 2\)
PHXI12:THERMODYNAMICS

371219 Calculate the change in entropy of \(n\) moles of a perfect gas when its temperature changes from \(T_{1}\) to \(T_{2}\) while its volume changes from \(V_{1}\) to \(V_{2}\) (Assume that \(P\) is constant)

1 \(n C_{V} \ln \dfrac{T_{2}}{T_{1}}+n R \ln \dfrac{V_{2}}{V_{1}}\)
2 \(n C_{V} \ln \dfrac{T_{2}}{T_{1}}\)
3 \(n R \ln \dfrac{V_{2}}{V_{1}}\)
4 None of these
PHXI12:THERMODYNAMICS

371220 Entropy of the universe tends to be

1 zero
2 maximum
3 minimum
4 constant
PHXI12:THERMODYNAMICS

371221 Calculate the change in entropy when \(1\;g\) of ice at \(0^\circ C\) is heated to water at \(40^\circ C\)
\(\left( {{L_{fus}} = 80\frac{{cal}}{g},{C_{water}} = \frac{{1\;g}}{{^\circ C}}} \right)\)

1 \(0.42\,cal^\circ {C^{ - 1}}\)
2 \(0.28\,cal/^\circ C\)
3 \(1.411\,cal/^\circ C\)
4 \({\rm{None}}\,{\rm{of}}\,{\rm{these}}\)
PHXI12:THERMODYNAMICS

371217 Assertion :
In an isolated system the entropy increases.
Reason :
The process in an isolated system is adiabatic only.

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

371218 A solid body of constant heat capacity \(1\;J/^\circ C\) is being heated by keeping it in contact with reservoirs in two ways:
(i) Sequentially keeping in contact with 2 reservoirs such that each reservoir supplies same amount of heat.
(ii) Sequentially keeping in contact with 8 reservoirs such that each reservoir supplies same amount of heat. In both the cases body is brought from initial temperature \(100^\circ C\) to final temperature \(200^\circ C\). Entropy change of the body in the two cases respectively is:

1 \(\ln 2,\,\,2\ln 2\)
2 \(2\ln 2,\,8\ln 2\)
3 \(\ln 2,\,4\ln 2\)
4 \(\ln 2,\ln 2\)
PHXI12:THERMODYNAMICS

371219 Calculate the change in entropy of \(n\) moles of a perfect gas when its temperature changes from \(T_{1}\) to \(T_{2}\) while its volume changes from \(V_{1}\) to \(V_{2}\) (Assume that \(P\) is constant)

1 \(n C_{V} \ln \dfrac{T_{2}}{T_{1}}+n R \ln \dfrac{V_{2}}{V_{1}}\)
2 \(n C_{V} \ln \dfrac{T_{2}}{T_{1}}\)
3 \(n R \ln \dfrac{V_{2}}{V_{1}}\)
4 None of these
PHXI12:THERMODYNAMICS

371220 Entropy of the universe tends to be

1 zero
2 maximum
3 minimum
4 constant
PHXI12:THERMODYNAMICS

371221 Calculate the change in entropy when \(1\;g\) of ice at \(0^\circ C\) is heated to water at \(40^\circ C\)
\(\left( {{L_{fus}} = 80\frac{{cal}}{g},{C_{water}} = \frac{{1\;g}}{{^\circ C}}} \right)\)

1 \(0.42\,cal^\circ {C^{ - 1}}\)
2 \(0.28\,cal/^\circ C\)
3 \(1.411\,cal/^\circ C\)
4 \({\rm{None}}\,{\rm{of}}\,{\rm{these}}\)
PHXI12:THERMODYNAMICS

371217 Assertion :
In an isolated system the entropy increases.
Reason :
The process in an isolated system is adiabatic only.

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

371218 A solid body of constant heat capacity \(1\;J/^\circ C\) is being heated by keeping it in contact with reservoirs in two ways:
(i) Sequentially keeping in contact with 2 reservoirs such that each reservoir supplies same amount of heat.
(ii) Sequentially keeping in contact with 8 reservoirs such that each reservoir supplies same amount of heat. In both the cases body is brought from initial temperature \(100^\circ C\) to final temperature \(200^\circ C\). Entropy change of the body in the two cases respectively is:

1 \(\ln 2,\,\,2\ln 2\)
2 \(2\ln 2,\,8\ln 2\)
3 \(\ln 2,\,4\ln 2\)
4 \(\ln 2,\ln 2\)
PHXI12:THERMODYNAMICS

371219 Calculate the change in entropy of \(n\) moles of a perfect gas when its temperature changes from \(T_{1}\) to \(T_{2}\) while its volume changes from \(V_{1}\) to \(V_{2}\) (Assume that \(P\) is constant)

1 \(n C_{V} \ln \dfrac{T_{2}}{T_{1}}+n R \ln \dfrac{V_{2}}{V_{1}}\)
2 \(n C_{V} \ln \dfrac{T_{2}}{T_{1}}\)
3 \(n R \ln \dfrac{V_{2}}{V_{1}}\)
4 None of these
PHXI12:THERMODYNAMICS

371220 Entropy of the universe tends to be

1 zero
2 maximum
3 minimum
4 constant
PHXI12:THERMODYNAMICS

371221 Calculate the change in entropy when \(1\;g\) of ice at \(0^\circ C\) is heated to water at \(40^\circ C\)
\(\left( {{L_{fus}} = 80\frac{{cal}}{g},{C_{water}} = \frac{{1\;g}}{{^\circ C}}} \right)\)

1 \(0.42\,cal^\circ {C^{ - 1}}\)
2 \(0.28\,cal/^\circ C\)
3 \(1.411\,cal/^\circ C\)
4 \({\rm{None}}\,{\rm{of}}\,{\rm{these}}\)