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Question

Match the following from Table A, in the case of gases, with those in Table B.

Table - ATable - B
(a) Work done in isobaric process(d) nRTloge(V2V1)
(b) Wok done in isothermal process(e) P(V2V1)
(c) Work done in adiabatic process(f) nRT(T1T2)γ1
(g) Zero

A
ah,bg,ce
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B
ae,bd,cg
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C
ag,bh,ce
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D
ae,bd,cf
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Solution

The correct option is B ae,bd,cf
Work done in isobaric process=V2V1PdV
=PV2V1dV
=P(V2V1)
Work done in isothermal process=V2V1PdV
=V2V1nRTVdV
=nRTln(V2V1)
Work done in adiabatic process=V2V1PdV
=V2V1kVγdV
where k=PVγ
=nRT×T1T2γ1
Hence correct answer is option D.

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