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Question


The reversible expansion of an ideal gas under adiabatic and isothermal conditions is shown in the figure. Which of the following statement(s) is(are) correct?

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A
T1=T2
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B
T3>T1
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C
Wisothermal>Wadiabatic
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D
ΔUisothermal>ΔUadiabatic
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Solution

The correct options are
A T1=T2
C Wisothermal>Wadiabatic
D ΔUisothermal>ΔUadiabatic
(A) For an Isothermal process, the temperature is constant

T1=T2

(B) Adiabatic process temp. decreases.
T3<T1

(C) In Wisothermal,ΔU=0, so energy gets converted in to work done whereas for in the adiabatic process Q=0

Wisothermal>Wadiabatic.

(D) For isothermal process change in internal energy is constant but not in the adiabatic process. Thus

ΔUisothermal=0,ΔUadiabatic=ve, so

ΔUisothermal>ΔUadiabatic

Hence, the correct options are A, C and D


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