MCQ
A Carnot engine take $5000 \,k\,cal$ of heat from a reservoir at $727\,^{\circ}C$ and gives heat to a $\operatorname{sink}$ at $127\,^{\circ}C$. The work done by the engine is $.......... \times 10^{6}\,J$
  • A
    $3$
  • B
    $0$
  • $12.6$
  • D
    $8.4$

Answer

Correct option: C.
$12.6$
c
$L=\frac{W D}{Q_{H}}$

$\Rightarrow WD = Q _{ H }\left(1-\frac{ T _{ L }}{ T _{ H }}\right)$

$=5 \times 10^{3}\left(1-\frac{400}{1000}\right)$

$=3000\, kcal$

$=12.6 \times 10^{6} J$

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

Similar questions

A particle is moving in a circle of radius $r$ under the action of a force $F\, = \alpha r^2$ which is directed towards centre of the circle. Total mechanical energy (kinetic energy + potential energy) of the particle is (take potential energy $= 0$ for $r\, = 0$)
A ball is bouncing elastically with a speed $1m/s$ between walls of a railway compartment of size $10m$ in a direction perpendicular to walls. The train is moving at a constant velocity of $10m/s$ parallel to the direction of motion of the ball. As seen from the ground,
If the density of the earth is doubled keeping its radius constant, then acceleration due to gravity will be ........ $m/s^2$. $(g = 9.8\,m/sec^2)$
A person moves $30m$ North, then $20m$ East then $30\sqrt{2}$ South$-$West. His displacement from the original position is:
The volume of a gas will be double of what it is at $0°C$ (pressure remaining constant) at
A slender homogeneous rod of length $2L$ floats partly immersed in water, being supported by a string fastened to one of its ends, as shown. The specific gravity of the rod is $0.75$. The length of rod that extends out of water is : 
The circular scale of a micrometer has $200$ divisions and pitch of $2\,mm$ . Find the measured value of thickness of a thin sheet .......... $mm$
When a tuning fork $A$ of unknown frequency is sounded with another tuning fork $B$ of frequency $256 Hz$, then $3$ beats per second are observed. After that $A$ is loaded with wax and sounded, the again $3$ beats per second are observed. The frequency of the tuning fork $A$ is ..... $Hz$
A block of mass $5 \mathrm{~kg}$ is placed on a rough inclined surface as shown in the figure.If $\vec{F}_1$ is the force required to just move the block up the inclined plane and $\vec{F}_2$ is the force required to just prevent the block from sliding down, then the value of $\left|\vec{F}_1\right|-\left|\vec{F}_2\right|$ is : [Use $g=10 \mathrm{~m} / \mathrm{s}^2$ ]
Which of the following measurement is more accurate?