JEE PHYSICS MCQ: KINETIC THEORY OF GASES

1 Medium

1 of 1

Analyzing +4 | -1

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

View answer and explanation

Correct option: C

A and B only

Option C (A and B only) is correct because the r.m.s. velocity is the same due to the same temperature, and the pressure ratio is 1:4 due to the number of molecules ratio.

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Assertion: The pressure exerted by an enclosed ideal gas does not depend on the shape of the container.
Reason: The pressure of an ideal gas depends on the number moles, temperature and volume of the enclosed If

c_s

is the velocity of sound in air and

c

is the rms velocity, then Four particles have velocities

1,0,2,3 \mathrm{~m} / \mathrm{s}

. The root mean square of the particles is (in

\mathrm{m} / \mathrm{s}

) The translational degrees of freedom

(f_t)

and rotational degrees of freedom

(f_r)

{CH}_4

molecule are: On any planet, the presence of atmosphere implies (

{C_{rms}} =

= root mean square velocity of molecules and

{V_e} =

escape velocity) At a given temperature, the pressure of an ideal gas of density

\rho

is proportional to