Question

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 $1:4$

• A. A and C only
• B. B and D only
• C. A and B only
• D. C and D only

Answer 1

Answer: (C)

KTG
A. $V_{Rms}=\sqrt{\frac{3RT}{M_w}}\Rightarrow V_{Rms}$ is same
B. $\frac{P_1}{P_2}=\frac{N_1}{N_2}\Rightarrow B$ is correct
Ans [A & B only are correct]