One mole of an ideal gas is taken from a to b along two paths den… - Vidyadip

MCQ

One mole of an ideal gas is taken from a to $b$ along two paths denoted by the solid and the dashed lines as shown in the graph below. If the work done along the solid line path is $\mathrm{w}_{\mathrm{s}}$ and that along the dotted line path is $w_d$, then the integer closest to the ratio $w_d / w_5$ is

A
$5$
B
$7$
✓
$2$
D
$1$

✓

Answer

Correct option: C.

$2$

c
$w_d=4 \times 1.5+1 \times 1+2.5 \times 2 / 3=8.65$

Process is isothermal

$ \mathrm{w}_{\mathrm{s}}=2 \times 2.303 \log \frac{5.5}{0.5}=2 \times 2.303 \times \log 11=2 \times 2.303 \times 1.0414=4.79 $

$ \frac{\mathrm{w}_{\mathrm{d}}}{\mathrm{w}_{\mathrm{s}}}=\frac{8.65}{4.79}=1.80=2$

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 11. thermodynamics→11. thermodynamics — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A cord is wound round the circumference of wheel of radius $r$. The axis of the wheel is horizontal and moment of inertia about it is $I$. A weight $mg$ is attached to the end of the cord and falls from rest. After falling through a distance $h$, the angular velocity of the wheel will be

The density $\rho$ of a liquid varies with depth $h$ from the free surface as $\rho=\text{kh.}$ A small body of density $\rho_1$ is released from the surface of liquid. The body will:

A $bob$ of mass $m$ attached to an inextensible string of length $l$ is suspended from a vertical support. The $bob$ rotates in a horizontal circle with an angular speed $\omega\, rad/s$ about the vertical. About the point of suspension

In the arrangement shown in fig. the ends $P$ and $Q$ of an unstretchable string move downwards with uniform speed $U$. Pulleys $A$ and $B$ are fixed. Mass $M$ moves upwards with a speed.

$STATEMENT-1$ The stream of water flowing at high speed from a garcen hose pipe tends to spread like a fountain when held vertically up, but tends to narrow down when held vertically down. and

$STATEMENT-2$ In any steady flow of an incompressible fluid, the volume flow rate of the fluid remains constant.

Two particles are projected from a tower in opposite directions horizontally with speed $10\,m / s$ each. At $t=1\,s$ match the following two columns.

Column $I$	Column $II$
$(A)$ Relative acceleration between two	$(p)$ $0$ SI unit
$(B)$ Relative velocity between two	$(q)$ $5$ SI unit
$(C)$ Horizontal distance between two	$(r)$ $10$ SI unit
$(D)$ Vertical distance between two	$(s)$ $20$ SI unit

Two bodies at different temperatures are mixed in a calorimeter. Which of the following quantities remains conserved?

If heat is supplied to a solid, its temperature:

The time period of a simple pendulum when it is made to oscillate on the surface of moon

A body released from the top of alls through a height of $5\ m$ during the first second of its fall and $35\ m$ during the last second of its fall. The height of the tower is: