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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?

A
T1=T2
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B
T3>T1
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C
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D
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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>ΔUadiabaticHence, the correct options are A, C and D

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