If pressure becomes double at the same absolute temperature of 2 litre $C O_{2}$ , then the volume of $C O_{2}$ becomes?

2

litre

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4

litre

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5

litre

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1

litre

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Solution

The correct option is C $1$ litre
According to Boyle's Law pressure of the gas is inversely proportional to the volume of gas at constant temperature.

$P \propto \frac{1}{V}$

$\Rightarrow P_{1} V_{1} = P_{2} V_{2}$

$\Rightarrow P_{1} = P$ $P_{2} = 2 P$

$\Rightarrow V_{1} = 2$ litre

$\Rightarrow P \times 2 = 2 P \times V_{2}$

$V_{2} = 1$ litre

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