Match the process given in column-I with the expression of thermodynamic quantities given in column-II Column-I Column-IIAHeating of an ideal gas at constant pressurePΔH=nCp, mΔT≠0BCompression of liquid at constant temperatureQ ΔU = 0CReversible process for an ideal gas at constant temperatureR ΔG = VΔPDAdiabatic free expansion of an Ideal gas S ΔG=nRT ln(P2P1)

a) Heating ⇒ ΔT>0 ⇒ΔH>0b) ΔG=VΔp−SΔTat const Temp ΔT=CΔG=VΔρ−0ΔG=VΔρLiquid ⇒ΔU≠0c) Const Temp ΔT=0Ideal gas ⇒ ΔU=0dg=V dp=nRTρdp⇒ΔG=nRTlnP2/P1d) adiabatic q = 0Free expansion w = 0q+w=ΔU=0+0=0q=0,w=0,ΔU=0

Match the process given in column-I with the expression of thermodynamic quantities given in column-II Column-I Column-IIAHeating of an ideal gas at constant pressurePΔH=nCp, mΔT≠0BCompression of liquid at constant temperatureQ ΔU = 0CReversible process for an ideal gas at constant temperatureR ΔG = VΔPDAdiabatic free expansion of an Ideal gas S ΔG=nRT ln(P2P1)

a) Heating ⇒ ΔT>0 ⇒ΔH>0b) ΔG=VΔp−SΔTat const Temp ΔT=CΔG=VΔρ−0ΔG=VΔρLiquid ⇒ΔU≠0c) Const Temp ΔT=0Ideal gas ⇒ ΔU=0dg=V dp=nRTρdp⇒ΔG=nRTlnP2/P1d) adiabatic q = 0Free expansion w = 0q+w=ΔU=0+0=0q=0,w=0,ΔU=0

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Match the process given in column-I with the expression of thermodynamic quantities given in column-II
Column-I Column-II
A Heating of an ideal gas at constant pressure P $Δ H = n C_{p, m} Δ T \neq 0$
B Compression of liquid at constant temperature Q $Δ U = 0$
C Reversible process for an ideal gas at constant temperature R $Δ G = V Δ P$
D Adiabatic free expansion of an Ideal gas S $Δ G = n R T \ln (\frac{P_{2}}{P_{1}})$

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

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

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

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

answer is A.

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Detailed Solution

a) Heating $\Rightarrow Δ T > 0 \Rightarrow Δ H > 0$

b) $Δ G = V Δ p - S Δ T$

at const Temp $Δ T = C$

$Δ G = V Δ ρ - 0$

$Δ G = V Δ ρ$

Liquid $\Rightarrow Δ U \neq 0$

c) Const Temp $Δ T = 0$

Ideal gas $\Rightarrow Δ U = 0$

$d g = V d p = \frac{n R T}{ρ} d p \Rightarrow Δ G = n R T l n^{P_{2} / P_{1}}$

d) adiabatic q = 0
Free expansion w = 0
$q + w = Δ U = 0 + 0 = 0$

$q = 0, w = 0, Δ U = 0$

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