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  • 2 mol of vander waals gas at  occupies a volume of 201.what is t

2 mol of vander waals gas at \mathrm{27^{\circ}C} occupies a volume of 201.what is the pressure of the gas ___

\mathrm{(a=6.5 \mathrm{~atm} \mathrm{~L}^2 / \mathrm{mol}^2 ; b=0.056 \mathrm{~L} / \mathrm{mol})}

Option: 1

2.412 atm


Option: 2

4.41 atm


Option: 3

4.39 atm


Option: 4

4.812 atm


Answers (1)

best_answer

Vander waals equation for 'n' mol of a real gas ___

\mathrm{\left(p+\frac{n^2 a}{v^2}\right)(v-n b)=n K T}

Given \mathrm{\begin{aligned} & n=2 \mathrm{~mol}, V=20 \mathrm{~L}, T=(273+27)=300 \mathrm{k} \\ & a=6.5 \mathrm{arm} L^2 / \mathrm{mol}^2, b=0.056 \mathrm{~L} / \mathrm{mos} \end{aligned}}

\mathrm{\begin{aligned} \therefore P=\frac{n R T}{V-n b}-\frac{n^2 a}{V^2} & =\frac{2 \times 0.0821 \times 300}{(20-2 \times 0.056)}-\frac{(2)^2 * 6.5}{(20)^2} \\ & =(2.477-0.065) \\ & =2.412 \mathrm{otm} \end{aligned}

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Rakesh

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