NEET UG PHYSICS MCQ: KINETIC THEORY OF GASES

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The minimum attainable pressure of ideal gas in the process

T=T_0+\alpha V^2

, where

T_0

and

\alpha

are positive constants and

V

is the volume of one mole of gas is

x R \sqrt{\alpha T_0}

. Find the value of

x

View answer and explanation

Correct option: A

The correct answer is 2 because the minimum pressure is found by minimizing the pressure function derived from the ideal gas law and the given temperature-volume relationship.

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)

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)