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  •  A gas has a compressibility factor of 1 and Molar volume of <img alt="\mathrm{0.8 \mathrm{~dm}^3 \mathrm{~mol}^{-1}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B0.8%

 A gas has a compressibility factor of 1 and Molar volume of \mathrm{0.8 \mathrm{~dm}^3 \mathrm{~mol}^{-1} at a Temperature
of 500 K and pressure x atm.
If it shows ideal gas behaviour at the same Temperature and Pressure, The Molar volume will be  \mathrm{y \mathrm{~dm}^3 \mathrm{~mol}^{-1}. The value of  \mathrm{\frac{x}{y}}

Option: 1

100


Option: 2

62.5


Option: 3

50


Option: 4

80


Answers (1)

best_answer

\mathrm{\text { compressibility factor } z=\frac{v_{\text {real }}}{\text { Vidal }}=1}

\mathrm{\text { vreal }=0.8 \mathrm{dm}^3 \mathrm{~mol}^{-1}=0.8 \mathrm{~L} / \mathrm{mol}}

\mathrm{\therefore \text { videal }=\frac{0.8}{1}=} \mathrm{0.8 \mathrm{~L} / \mathrm{mol}}

\mathrm{\therefore y=0.8 \mathrm{~L} / \mathrm{MOL}}

 using ideal gas equation \mathrm{P_V}=n R T

\mathrm{\begin{aligned} P & =\frac{1 \times 8 \times 10^{-2} \times 500}{.8} \\ x & =50 \text { atm } \\ \therefore \frac{x}{y} & =\frac{50}{.8}=62.5 \end{aligned}}

 

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Sayak

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