JEE PHYSICS MCQ: KINETIC THEORY OF GASES

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Analyzing +4 | -1

The specific heats,

{C_p}\mathrm{ \,\,and }\,\,{C_V}

of a gas of diatomic molecules, A are given (in units of

\mathrm{J mo}{\mathrm{l}^{ - 1}}{K^{ - 1}}

) by 29 and 22, respectively. Another gas of diatomic molecules B, has the corresponding values 30 and 21. If they are treated as ideal gases, then

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Correct option: A

A has a vibrational mode but B has none

Option A (A has a vibrational mode but B has none) is correct because the calculated degrees of freedom for gas A is approximately 7, indicating a vibrational mode, while for gas B it is 5, indicating no vibrational mode.

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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