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.

Choose the correct answer from the options given below.

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

Answer 1

Answer: (C)

A and B only

Answer 2

The correct option is(C): A and B only

$v_{rms}=\sqrt{3RT}{M_0}$

because T is same

v rms will be same so, A is correct D is incorrect

$\frac{p_1}{p_1}=\frac{1}{4}$

So here B is correct and C is incorrect.