Question 319: Thermodynamics & KTG

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 :

Accepted Answer

$${v_{rms}} = \sqrt {{{3RT} \over {{M_0}}}} $$ because T is same
v
rms
will be same so, A is correct D is incorrect
$${{{P_1}} \over {{P_2}}} = {{{n_1}R{T_1}/{V_1}} \over {{n_2}R{T_2}/{V_2}}} = {{{n_1}} \over {{n_2}}} = {1 \over 4}$$
B is correct
C is incorrect

Answer

A and C only

Answer

B and D only

Answer

A and B only

Answer

C and D only

Thermodynamics & KTG

Choose the correct answer: