For an ideal gas the instantaneous change in pressure $p$ with volume $V$ is given by the equation $\frac{{dp}}{{dV}}\, = \, - ap.$ If $p\, = \,{p_0}$ at $V\, = \,0$ is the given boundary condition, then the maximum temperature one mole of gas can attain is (Here $R$ is the gas constant)

NEET UG PHYSICS MCQ: KINETIC THEORY OF GASES

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For an ideal gas the instantaneous change in pressure

p

with volume

V

is given by the equation

\frac{{dp}}{{dV}}\, = \, - ap.

p\, = \,{p_0}

V\, = \,0

is the given boundary condition, then the maximum temperature one mole of gas can attain is (Here

R

is the gas constant)

View answer and explanation

Correct option: A

\frac{{{p_0}}}{{aeR}}

Option C (A and B only) is correct. The r.m.s velocity depends only on temperature and molar mass, which are the same for both vessels. The pressure is directly proportional to the number of molecules when volume and temperature are constant.

More Questions from KINETIC THEORY OF GASES

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The absolute zero is the temperature at which The internal energy

\left( U \right)

, pressure

\left( p \right)

and volume

\left( V \right)

of an ideal gas are related as

U = 3pV + 4

. The gas is A monoatomic ideal gas is contained in a rigid container of volume

V

with walls of total inner surface area

A

, thickness

x

and thermal conductivity

K

. The gas is at an initial temperature

T_0

and pressure

P_0

. If the pressure of the gas as a function of time if the temperature of the surrounding air is

T_{\mathrm{s}}

\frac{T_0}{T_0}\left[T_s-\left(\mathrm{T}_s-T_0\right)_e \frac{-Z k A}{3 x R} t\right]

. Find the value of

z

. All temperatures are in absolute scale. Assertion: The change in air pressure effect the speed of sound.
Reason: The speed of sound in a gas is proportional to the square of pressure. The rms speed of oxygen molecule in a vessel at particular temperature is

\left(1+\frac{\gamma}{28}\right)^{\frac{1}{2}} v,

where

v

is the average speed of the molecule. The value of

\gamma

will be:

\left(\pi=\frac{22}{7}\right)

The equation of state of a gas is given by

\left( {P + \frac{{a{T^2}}}{V}} \right){V^c} = \left( {RT + b} \right),

where

a,b,c

and

R

are constants. The isotherms can be represented by

P = A{V^m} - B{V^n},

where

A

and

B

depend only on temperature and