MCQ
Three processes form a thermodynamic cycle as shown on $P-V$ diagram for an ideal gas. Process $1 \rightarrow 2$ takes place at constant temperature $(300K$). Process $2 \rightarrow 3$ takes place at constant volume. During this process $40J$ of heat leaves the system. Process $3 \rightarrow 1$ is adiabatic and temperature $T_3$ is $275K$. Work done by the gas during the process $3 \rightarrow 1$ is ..... $J$
  • $-40$
  • B
    $-20$
  • C
    $+40$
  • D
    $+20$

Answer

Correct option: A.
$-40$
a
In the process $1 \rightarrow 2, \Delta Q_{1 \rightarrow 2}=\Delta W_{1 \rightarrow 2}$

In the process $2 \rightarrow 3, \Delta W_{2 \rightarrow 3}=0$

In the process $3 \rightarrow 1, \Delta Q_{3 \rightarrow 1}=0$

The complete process being cyclic, $\Delta U=0$

Hence $\Delta Q=\Delta W \Rightarrow \Delta Q_{1 \rightarrow 2}+\Delta Q_{2 \rightarrow 3}+\Delta Q_{3 \rightarrow 1}=\Delta W_{1 \rightarrow 2}+\Delta W_{2 \rightarrow 3}+\Delta W_{3 \rightarrow 1} \Rightarrow$

$\Delta Q_{2 \rightarrow 3}=\Delta W_{3 \rightarrow 1}=-40 J$

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 thin metallic spherical shell contains a charge $Q$ on it. A point charge $+q$ is placed at the centre of the shell and another charge $q'$ is placed outside it as shown in fig. All  the three charges are positive. The force on the central charge due to the shell is :-
A beam of monochromatic light is incident at $i = 50^o$ on one face of an equilateral prism, the angle of emergence is $40^o$, then the angle of minimum deviation is
Which one of the following planet has the longest day
The periodic time of rotation of a certain star is $22$ days and its radius is $7 \times 10^8$ metres. If the wavelength of light emitted by its surface be $4320 Å$, the Doppler shift will be ($1 day = 86400 \,sec$)
If the galvanometer $G$ does not show any deflection in the circuit shown, the value of $R$ is given by $............\Omega$
In case Hall effect for a strip having charge $Q$ and area of cross-section $A$, the Lorentz force is
Following figure shows the path of an electron that passes through two regions containing uniform magnetic fields of magnitudes $B_1$ and $B_2$. It's path in each region is a half circle, choose the correct option
As per the given figure, a small ball $P$ slides down the quadrant of a circle and hits the other ball $Q$ of equal mass which is initially at rest. Neglecting the effect of friction and assume the collision to be elastic, the velocity of ball $Q$ after collision will be $............\,m/s$ $:\left( g =10\,m / s ^2\right)$
$A$ ring of mass $M$ and radius $R$ sliding with a velocity $v_0$ suddenly enters into rough surface where the coefficient of friction is $\mu$ , as shown in figure.  Choose the correct alternative $(s)$
Six charges are placed around a regular hexagon of side length a as shown in the figure. Five of them have charge $q$, and the remaining one has charge $x$. The perpendicular from each charge to the nearest hexagon side passes through the center $O$ of the hexagon and is bisected by the side.

Which of the following statement($s$) is(are) correct in SI units?

$(A)$ When $x=q$, the magnitude of the electric field at $O$ is zero.

$(B)$ When $x=-q$, the magnitude of the electric field at $O$ is $\frac{q}{6 \pi \epsilon_0 a^2}$.

$(C)$ When $x=2 q$, the potential at $O$ is $\frac{7 q}{4 \sqrt{3} \pi \epsilon_0 a}$.

$(D)$ When $x=-3 q$, the potential at $O$ is $\frac{3 q}{4 \sqrt{3} \pi \epsilon_0 a}$.