Match the process given in column-I with the expression of thermodynamic functions given in column-II Column-I Column-IIAReversible isothermal expansion of an ideal gasP w=−2.303 nRT log(V2V1)BReversible adiabatic compression of an ideal gasQ PVγ= constantCIrreversible adiabatic expansion of an ideal gasR w=nR(γ−1) (T2−T1)DIrreversible isothermal compression Of an ideal gasS ΔH=0

a) Reversible isothermal w=−2.303nRTlogV2V1ΔH=nCVΔT=0b)Reversible adiabatic PVγ=constw=nRγ−1[T2−T1]c)Irreversible adiabatic w=n−Rγ−1[T2−T1|PVγ≠constd) Irreversible isothermalΔH=0w≠−2.303nRTlogV2V1

Match the process given in column-I with the expression of thermodynamic functions given in column-II Column-I Column-IIAReversible isothermal expansion of an ideal gasP w=−2.303 nRT log(V2V1)BReversible adiabatic compression of an ideal gasQ PVγ= constantCIrreversible adiabatic expansion of an ideal gasR w=nR(γ−1) (T2−T1)DIrreversible isothermal compression Of an ideal gasS ΔH=0

a) Reversible isothermal w=−2.303nRTlogV2V1ΔH=nCVΔT=0b)Reversible adiabatic PVγ=constw=nRγ−1[T2−T1]c)Irreversible adiabatic w=n−Rγ−1[T2−T1|PVγ≠constd) Irreversible isothermalΔH=0w≠−2.303nRTlogV2V1

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Match the process given in column-I with the expression of thermodynamic functions given in column-II
Column-I Column-II
A Reversible isothermal expansion of an ideal gas P $w = - 2.303 n R T \log (\frac{V_{2}}{V_{1}})$
B Reversible adiabatic compression of an ideal gas Q $P V^{γ} =$ constant
C Irreversible adiabatic expansion of an ideal gas R $w = \frac{n R}{(γ - 1)} (T_{2} - T_{1})$
D Irreversible isothermal compression Of an ideal gas S $Δ H = 0$

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$A - Q; B - R; C - S; D - P$

$A - P, S; B - Q, R; C - R; D - S$

$A - P; B - S; C - R; D - Q$

$A - Q, R; B - S; C - R; D - P, S$

answer is B.

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Detailed Solution

a) Reversible isothermal

$w = - 2.303 n R T \log \frac{V_{2}}{V_{1}}$

$Δ H = n C_{V} Δ T = 0$

b)Reversible adiabatic

$P V^{γ} = c o n s t$

$w = \frac{n R}{γ - 1} [T_{2} - T_{1}]$

c)Irreversible adiabatic

$w = \frac{n - R}{γ - 1} [T_{2} - T_{1} | P V^{γ} \neq c o n s t$

d) Irreversible isothermal

$Δ H = 0$

$w \neq - 2.303 n R T \log \frac{V_{2}}{V_{1}}$

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