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 :
Solution
<p>${v_{rms}} = \sqrt {{{3RT} \over {{M_0}}}}$ because T is same</p>
<p>v<sub>rms</sub> will be same so, A is correct D is incorrect</p>
<p>$${{{P_1}} \over {{P_2}}} = {{{n_1}R{T_1}/{V_1}} \over {{n_2}R{T_2}/{V_2}}} = {{{n_1}} \over {{n_2}}} = {1 \over 4}$$</p>
<p>B is correct</p>
<p>C is incorrect</p>
About this question
Subject: Physics · Chapter: Thermodynamics · Topic: Zeroth and First Law
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