A gas has a compressibility factor of 0.5 and | vedclass

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(C) For the given gas: $Z = 0.5$,$V_m = 0.4 \ dm^3 \ mol^{-1}$,$T = 800 \ K$,$P = x \ atm$.The compressibility factor is given by $Z = \frac{P V_m}{R

Vedclass · Accepted Answer

$100$

Vedclass · Answer

(C) For the given gas: $Z = 0.5$,$V_m = 0.4 \ dm^3 \ mol^{-1}$,$T = 800 \ K$,$P = x \ atm$.The compressibility factor is given by $Z = \frac{P V_m}{R T}$.Substituting the values: $0.5 = \frac{x 	imes 0.4}{0.08 	imes 800}$.$0.5 = \frac{0.4x}{64}$ $\Rightarrow 0.4x = 32$ $\Rightarrow x = 80 \ atm$.For ideal gas behavior at the same $T$ and $P$,$PV_m = RT$.$y = V_m = \frac{RT}{P} = \frac{0.08 	imes 800}{80} = 0.8 \ dm^3 \ mol^{-1}$.Therefore,the value of $\frac{x}{y} = \frac{80}{0.8} = 100$.

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