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Question: If the masses of all molecules of a gas are halved and their speeds doubled, then the ratio of initi...

If the masses of all molecules of a gas are halved and their speeds doubled, then the ratio of initial and final pressures would be –

A

2 : 1

B

1 : 2

C

4 : 1

D

1 : 4

Answer

1 : 2

Explanation

Solution

As speed becomes doubled, temperature becomes 4-times

P1VP2V=MMwRTM2MwR(4T)\frac{P_{1}V}{P_{2}V} = \frac{\frac{M}{M_{w}}RT}{\frac{M}{2M_{w}}R(4T)} Ž P1P2=12\frac{P_{1}}{P_{2}} = \frac{1}{2}