Which equation shows correct form of Berthelot equation?

(P + \frac{a}{T (V + C)^{2}}) (V - b) = R T

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(P + \frac{a}{T (V - C)^{2}}) (V - b) = R T

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(P + \frac{a}{T V^{2}}) (V - b) = R T

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(P + \frac{a}{T V^{2}}) (V + b) = R T

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Solution

The correct option is C $(P + \frac{a}{T V^{2}}) (V - b) = R T$
$(P + \frac{a}{T V^{2}}) (V - n b) = R T$ is Berthelot equation.

The volume correction is same as in van der Waal's equation, but the pressure correction is different. He introduced the pressure correction as $\frac{a}{T V^{2}}$ in place of $\frac{a}{V^{2}}$ .

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Similar questions

Z

Column A	Column B
(A) High pressure	(i) $P V = R T + P b$
(B) Low pressure	(ii) $P V = R T - \frac{a}{V}$
(C) $P \to 0$	(iii) $P V = R T$
(D) Neither $a$ nor $b$ is negligible	(iv) $(P + \frac{a}{V^{2}}) (V - b) = R T$

(P + \frac{a}{V^{2}}) (V - b) = R T

a

b

P = \frac{R T}{V - b} e^{\frac{a V}{R T}}

V = v o l u m e, P = p r e s s u r e, R =

T =

a

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