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Same gas is filled in two vessels of the same volume at the same temperature. If the ratio of the number of molecules is 1:4, then
A. The r.m.s. velocity of gas molecules in two vessels will be the same.
B. The ratio of pressure in these vessels will be 1 : 4
C. The ratio of pressure will be 1 : 1
D. The r.m.s. velocity of gas molecules in two vessels will be in the ratio of 1 : 4

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An Intiative by Sri Chaitanya

B and D only

A and B only

A and C only

C and D only

answer is C.

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Detailed Solution

KTG

A. $V_{Rms} = \sqrt{\frac{3 RT}{M_{w}}} \Rightarrow V_{Rms}$ is same

B. $\frac{P_{1}}{P_{2}} = \frac{N_{1}}{N_{2}} \Rightarrow B$ is correct

Ans [A & B only are correct]

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