JEE PHYSICS MCQ: KINETIC THEORY OF GASES

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Consider a gas with density

\rho

and

{\bar c}

as the root mean square velocity of its molecules contained in a volume. If the system moves as whole with velocity

v,\;

then the pressure exerted by the gas is

View answer and explanation

Correct option: A

\frac{1}{3}\rho {{\bar c}^2}

Option A is correct because the pressure exerted by the gas depends on the root mean square velocity of its molecules and is independent of the system's overall velocity.

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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