Match the following array ll List - I & List - II i) Isothermal process & a) 0 ii) Isobaric process & b) 1 -1 [ P ₂ ~V ₂- P ₁ ~V ₁ ] iii) Isochoric process & c) RT ( V₂ V₁ ) iv) Adiabatic process & d) P ( V ₂- V ₁ ) array The correct answer

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Match the following array ll List - I & List - II i) Isothermal process & a) 0 ii) Isobaric process & b) 1 -1 [ P ₂ ~V ₂- P ₁ ~V ₁ ] iii) Isochoric process & c) RT ( V₂ V₁ ) iv) Adiabatic process & d) P ( V ₂- V ₁ ) array The correct answer is

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Correct answer: A. i-c, ii-d, iii-a, iv-b

Work done in any quasi-static process (=W= _ V₁ ^ V₂ P d V ). Evaluate this for each process. i) Isothermal process ( ( T = ) constant). Use ideal gas: (P V=n R T ) (constant (T n R T= ) constant). (W= _ V₁ ^ V₂ P d V= _ V₁ ^ V₂ n R T V d V=n R T V₂ V₁ ) So isothermal ( ) match (c). ii) Isobaric process ( ( P = ) constant). If pressure is constant, (W= _ V₁ ^ V₂ P d V=P (V₂-V₁ ) ) So isobaric ( ) match (d). iii) Isochoric process ( ( V = ) constant). If volume is constant (d V=0 ), therefore (W= _ V₁ ^ V₂ P d V=0 )

Match the following array ll List - I & List - II i) Isothermal process & a) 0 ii) Isobaric process & b) 1 -1 [ P ₂ ~V ₂- P ₁ ~V ₁ ] iii) Isochoric process & c) RT ( V₂ V₁ ) iv) Adiabatic process & d) P ( V ₂- V ₁ ) array The correct answer is

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