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Equipartition Theorem

A gas is kept...

Question

A gas is kept in a container at a constant temperature. Initial pressure of the gas is 1 atm. If the volume of container is reduced to $\frac{1}{4}$ of its initial volume, then new pressure will be

A

1 atm

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B

2 atm

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C

4 atm

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D

3 atm

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Solution

The correct option is C
4 atm

According to Boyle's law

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

$P_{2} = P_{1} (\frac{V_{1}}{V_{2}}) = 1 (\frac{V}{\frac{V}{4}}) = 4 a t m$

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