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In a vessel, the gas is at a pressure P. If the mass of all the molecules is halved and their speed is doubled, then the resultant pressure will be

1. 4P
2. 2P
3. P
4. P/2

Correct answer: 4P

Solution

Pressure is proportional to the product of the number of molecules and the square of their speed. Halving the mass of molecules doubles their number, and doubling the speed increases the square of speed by a factor of 4. Thus, the pressure becomes 4 times the original.

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