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Van der Waal's Forces

Find the temp...

Question

Find the temperature ( $in K$ ) at which 3 moles of $S O_{2}$ will occupy a volume of $10 L$ at a pressure of $15 atm$ .
[ $a = 6.71 {atm litre}^{2} {mol}^{- 2}$ ; $b = 0.0564 {litre mol}^{- 1}$ ]

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Solution

van der Waal equation is:
$(P + \frac{a n^{2}}{V^{2}}) (V - n b) = n R T$
Given: $P = 15 a t m$
$V = 10 L$ , $n = 3$ , $a = 6.71 {atm litre}^{2} {mol}^{- 2}$
$(15 + \frac{6.71 \times 9}{100}) (10 - 3 \times 0.0564) = 3 \times 0.082 \times T$
on solving we get :
$T = 624 K$

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in K

S O_{2}

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a = 6.71 {atm litre}^{2} {mol}^{- 2}

b = 0.0564 {litre mol}^{- 1}

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