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Real Gas Equation

4 g of an ide...

Question

$4 g$ of an ideal gas was introduced into a bulb of volume of \ $0.821 d m^{3}$ at certain pressure, $P$ and temperature The above bulb was placed in a thermostat mentioned at temperature $(T + 125) K$ of $0.8 g$ of the gas was left off to keep the original pressure. Calculate the pressure in atmospheres.[Molecular weight of the gas is $40 g m o l e^{-} I$ and $R$ value is $0.0821 l i t - a t m k^{-} l m o l$ .

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Solution

As given,
$Initial no.of moles = \frac{4}{40} = 0.1$
$Final no.of moles = \frac{3.2}{40} = 0.08$
Since P and V are constant,
$n_{1} T_{1} = n_{2} T_{2}$
$0.1 T_{1} = 0.08 (T_{1} + 125)$
$T_{1} = 500 K$
From $P V = n R T$
$P = \frac{0.1 \times 0.082 \times 500}{0.821} = 5 a t m$ .

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