JEE PHYSICS MCQ: KINETIC THEORY OF GASES

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Three containers of the same volume contain three different gases. The masses of the molecules are

{m_1},{m_2}

and

{m_3}

and the number of molecules in their respective containers are

{N_1},{N_2}

and

{N_3}.

The gas pressure in the containers are

{P_1},{P_2}

and

{P_3}

respectively. All the gases are now mixed and put in one of the containers. The pressure P of mixture will be

View answer and explanation

Correct option: C

P = {P_1} + {P_2} + {P_3}

Option C (

P = {P_1} + {P_2} + {P_3}

) is correct because, according to Dalton's law of partial pressures, the total pressure of a mixture of gases is the sum of the partial pressures of each gas.

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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