Consider the following liquid-vapour equilibrium. Which of the following relations is correct? [2016]

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Solution

Q.
Consider the following liquid-vapour equilibrium.

$Liquid ⇌ Vapour$

Which of the following relations is correct [2016]

1 $\frac{d \ln P}{d T^{2}} = \frac{- Δ H_{v}}{T^{2}}$

2 $\frac{d \ln P}{d T} = \frac{Δ H_{v}}{R T^{2}}$

3 $\frac{d \ln G}{d T^{2}} = \frac{Δ H_{v}}{R T^{2}}$

4 $\frac{d \ln P}{d T} = \frac{- Δ H_{v}}{R T}$

Ans.
(2)

This is Clausius--Clapeyron equation.

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Solution

Q. Consider the following liquid-vapour equilibrium. Liquid⇌ Vapour Which of the following relations is correct [2016]

1 dlnPdT2=-ΔHvT2

2 dlnPdT=ΔHvRT2

3 dlnGdT2=ΔHvRT2

4 dlnPdT=-ΔHvRT

Ans. (2) This is Clausius--Clapeyron equation.

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Q.
Consider the following liquid-vapour equilibrium.

$Liquid ⇌ Vapour$

Which of the following relations is correct [2016]

1 $\frac{d \ln P}{d T^{2}} = \frac{- Δ H_{v}}{T^{2}}$

2 $\frac{d \ln P}{d T} = \frac{Δ H_{v}}{R T^{2}}$

3 $\frac{d \ln G}{d T^{2}} = \frac{Δ H_{v}}{R T^{2}}$

4 $\frac{d \ln P}{d T} = \frac{- Δ H_{v}}{R T}$

Ans.
(2)

This is Clausius--Clapeyron equation.