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When volume of system is increased twice and temperature is decreased half of its initial temperature, then pressure becomes

1. 2 times
2. 4 times
3. 1/2 times
4. 1/4 times

Correct answer: 1/4 times

Solution

Using the ideal gas law, PV = nRT, if the volume is doubled (V → 2V) and the temperature is halved (T → T/2), the pressure P becomes P → P/4. Hence, the pressure becomes 1/4 times its initial value.

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