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Question: A box contains n molecules of a gas. How will the pressure of the gas be effected, if the number of ...

A box contains n molecules of a gas. How will the pressure of the gas be effected, if the number of molecules is made 2n

A

Pressure will decrease

B

Pressure will remain unchanged

C

Pressure will be doubled

D

Pressure will become three times

Answer

Pressure will be doubled

Explanation

Solution

If number of molecules in gas increases then number of collision of molecules with walls of container would also increase and hence the pressure increases i.e., P µ N.

Ž P2P1=N2N1=21\frac{P_{2}}{P_{1}} = \frac{N_{2}}{N_{1}} = \frac{2}{1} Ž P2=2P1P_{2} = 2P_{1}