At constant temperature the pressure of a gas is increased to three times, then its volume becomes:

1 / 3 V

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2 / 3 V

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3 V

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none of these

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Solution

The correct option is A $1 / 3 V$
At constant temperature $P_{1} V_{1} = K$ or $V_{1} = K / P_{1}$
If pressure increased three times then $3 P_{1} V_{2} = K$ or $V_{2} = K / 3 P_{1}$
Thus, $V_{2} = 1 / 3 V_{1}$

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