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JEE PHYSICS MCQ: KINETIC THEORY OF GASES

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Assume that the temperature remains essentially constant in the upper part of the atmosphere. Obtain an expression for the variation in pressure in the upper atmosphere with height. The mean molecular weight of air is

M

.

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Correct option: D

p=p_0 e^{-\frac{M g h}{R T}}

Option D (

p=p_0 e^{-\frac{M g h}{R T}}

) is correct because it accurately describes the exponential decrease of pressure with height in the upper atmosphere, considering constant temperature.

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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

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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}

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(f_t)

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{CH}_4

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{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