A certain mass of a gas taken in 1 litre cylinder exerts a pressure of 500 $m m H g$ at a certain temperature. If the gas is transferred to another cylinder where it exerts 20% more pressure, calculate the volume of the cylinder at the same temperature.

1200 c c

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833 c c

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1440 c c

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695 c c

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Solution

The correct option is B $833 c c$
At constant temperature,
On applying Boyle's law;
$P_{1} V_{1} = P_{2} V_{2}$

Given that, $P_{1}$ = 500 $m m H g$ and $V_{1}$ = 1000 $c c$

Also, $P_{2}$ = $500 + (\frac{20}{100} \times 500) = 600 m m H g$
$∴ \frac{500 \times 1000}{600} = V_{2}$

$= 833 c c$

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