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Q.

An ideal gas undergoes an expansion from a state with temperature T1 and volume V1 through three different polytropic processes A, B and C as shown in the P-V diagram. If ΔEA,ΔEB and ΔEC be the magnitude of changes in internal energy along the three paths respectively, then:

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a

ΔEA<ΔEB<ΔEC if temperature in every process decreases

b

ΔEA>ΔEB>ΔEC if temperature in every process decreases

c

ΔEA>ΔEB>ΔEC if temperature in every process increases

d

ΔEB<ΔEA<ΔEC if temperature in every process increases

answer is A.

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Detailed Solution

Initial state is same for all the three processes (say initial internal energy =E0).In the final state, VA=VB=VC and PA>PB>PC PAVA>PBVB>PCVCEA>EB>ECIf T1>T2, then E0>Ef for all the three processes and hence E0−EAEB−E0>EC−E0ΔEA>ΔEB>ΔEC

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