NEET UG PHYSICS MCQ: KINETIC THEORY OF GASES

1 Hard

1 of 1

Analyzing +4 | -1

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.

View answer and explanation

Correct option: A

Option A (2) is correct because the pressure of the gas as a function of time depends on the heat transfer rate, which is proportional to the surface area and thermal conductivity.

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 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)

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) 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