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Question

If number of gas molecules in a cubical vessel is increased from N to 3N, then its pressure and total energy will become

A
four times
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B
three times
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C
double
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D
half
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Solution

The correct option is B three times
For an ideal gas P×V=N×K×T
where P is the pressure, V is volume of the cubical vessel,
N is no. of molecules, K Boltzmann's constant and T is temperature
So as N increases to 3N, pressure also increases by three times.
And the total energy for an ideal gas E=32×N×K×T
Hence the total energy also increases by three times.

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