The given graph represents the variation of Z | vedclass

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(D) The compressibility factor $Z$ for a van der Waals gas is given by $Z = 1 + \frac{(b - a/RT)P}{RT}$ at low pressure.If $a=0$,$Z = 1 + \frac{bP}{RT

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At high pressure,the slope is positive for all real gases.

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(D) The compressibility factor $Z$ for a van der Waals gas is given by $Z = 1 + \frac{(b - a/RT)P}{RT}$ at low pressure.If $a=0$,$Z = 1 + \frac{bP}{RT}$,which is a linear equation with a positive slope (Gas $A$).If $b=0$,$Z = 1 - \frac{a}{RT^2}P$,which is a linear equation with a negative slope (Gas $B$).Gas $C$ represents a typical real gas where both $a$ and $b$ are non-zero,showing a curve with a minimum.Statement $D$ is incorrect because at high pressure,$Z = 1 + \frac{Pb}{RT}$,which is linear with a positive slope,but the graph for gas $B$ shows a negative slope at all pressures,contradicting the statement that the slope is positive for all real gases at high pressure.

The given graph represents the variation of $Z$ (compressibility factor = $\frac{PV}{nRT}$) versus $P$,for three real gases $A, B$ and $C$. Identify the only incorrect statement.

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