This question has Statement - 1 and Statement -2. Of the four cho… - Vidyadip

MCQ

This question has Statement $- 1$ and Statement $-2$. Of the four choices given after the Statements, choose the one that best describes the two Statements.
Statement $1$ : The internal energy of a perfect gas is entirely kinetic and depends only on absolute temperature of the gas and not on its pressure or volume.
Statement $2$ : A perfect gas is heated keeping pressure constant and later at constant volume. For the same amount of heat the temperature of the gas at constant pressure is lower than that at constant volume.

A
Statement $- 1$ is true, Statement $-2$ is true and
Statement $-2$ is the correct explanation of Statement $-1$
B
Statement $-1$ is true, Statement $-2$ is false.
✓
Statement $-1$ is true, Statement $-2$ is true but
Statement $-2$ is not the correct explanation of Statement $-1$
D
Statement $-1$ is false, Statement $-2$ is true

✓

Answer

Correct option: C.

Statement $-1$ is true, Statement $-2$ is true but
Statement $-2$ is not the correct explanation of Statement $-1$

c
Internal energy of a system is the energy possessed by the system due to molecular motion and molecular configuration.

Internal energy $u=u_{k}+u_{p}$

For an ideal gas there is no molecular attraction $u_{p}=0$

$\therefore$ Internal energy $\mathrm{u}=\mathrm{u}_{\mathrm{k}}$

$(i.e.,\, internal\, kinetic\, energy)$

and $u=u_{k}=\frac{3}{2} \mu R T$

At constant pressure $(\Delta \mathrm{Q})_{\mathrm{P}}=\mu \mathrm{C}_{\mathrm{p}} \Delta \mathrm{T}$

At constant volume $(\Delta \mathrm{Q})_{\mathrm{v}}=\mu \mathrm{C}_{\mathrm{v}} \Delta \mathrm{T}$

$\mathrm{AsC}_{\mathrm{P}}>\mathrm{C}_{\mathrm{V}} \quad \therefore \quad(\Delta \mathrm{T})_{\mathrm{P}}<(\Delta \mathrm{T})_{\mathrm{V}}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from 12 . kinetic theory of gases→12 . kinetic theory of gases — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Relation between $U, P$ and $V$ for ideal gas is $U= 2+2PV$ then gas is

In an experiment of simple pendulum time period measured was $50\,sec$ for $25$ vibrations when the length of the simple pendulum was taken $100\,cm$ . If the least count of stop watch is $0.1\,sec$ . and that of meter scale is $0.1\,cm$ then maximum possible error in value of $g$ is .......... $\%$

Moon has no atmosphere because

$Y = A \sin \left(\omega t +\phi_{0}\right)$ is the time-displacement equation of a SHM. At $t=0$ the displacement of the particle is $Y =\frac{ A }{2}$ and it is moving along negative $x$ -direction. Then the initial phase angle $\phi_{0}$ will be ...... .

Which of the following is the longitudinal wave

A false statement is

A point moves with uniform acceleration and ${v_1},\,{v_2}$ and ${v_3}$ denote the average velocities in the three successive intervals of time ${t_1},\,{t_2}$ and ${t_3}$. Which of the following relations is correct

A thin tube sealed at both ends is $100\, cm$ long. It lies horizontally, the middle $20\, cm$ containing mercury and two equal ends containing air at standard atmospheric pressure . If the tube is now turned to a vertical position, by what amount will the mercury be displaced ? (Given : cross-section of the tube can be assumed to be uniform) ........ $cm$

For angles of projection of a projectile at angle $(45^o +\theta)$ and $(45^o -\theta ) $ , the horizontal range described by the projectile are in the ratio of

If a lighter body (mass ${M_1}$ and velocity ${V_1}$) and a heavier body (mass ${M_2}$ and velocity ${V_2}$) have the same kinetic energy, then