Download App

STD 11 - 11. thermodynamics — NEET STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceNEETSTD 11 - 11. thermodynamics4 Marks
Question
Three Carnot engines operate in series between a heat source at a temperature $T_1$ and a heat sink at temperature $T_4$ (see figure). There are two other reservoirs at temperature $T_2$ and $T_3$, as shown, with $T_1 > T_2 > T_3 > T_4$. The three engines are equally efficient if
✓

Answer

$n_{1}=n_{2}=n_{3}$

$\Rightarrow \quad 1-\frac{T_{2}}{T_{1}}=1-\frac{T_{3}}{T_{2}}=1-\frac{T_{4}}{T_{3}}$

$\Rightarrow \quad \frac{T_{2}}{T_{1}}=\frac{T_{3}}{T_{2}}=\frac{T_{4}}{T_{3}}$

$\Rightarrow \quad \mathrm{T}_{2} \mathrm{T}_{3}=\mathrm{T}_{1} \mathrm{T}_{4}$ and $\frac{\mathrm{T}_{3}^{2}}{\mathrm{T}_{2}}=\mathrm{T}_{4}$

Solve for $\mathrm{T}_{2}$ and $\mathrm{T}_{3}$

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

NEET STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A zener diode of power rating $1.6\,W$ is to be used as voltage regulator. If the zener diode has a breakdown of $8\,V$ and it has to regulate voltage fluctuating between $3\,V$ and $10 \,V$. The value of resistance $R_5$ for safe operation of diode will be $.........\Omega$
→
A projectile of mass $3m$ is moving at $40\, m/s$ at is highest point, where it breaks into two parts $m$ and $2m$. Mass $2m$ moves vertically up at $25\, m/s$. The other part will move at speed  .................... $\mathrm{m}/ \mathrm{s}$
→
What determines the nature of the path followed by the particle
→
A ball of mass $150\,g$ starts moving with an acceleration of $20m/{s^2}$. When hit by a force, which acts on it for $0.1\, sec$. The impulsive force is ........ $N-s$
→
The dimension of the magnetic field intensity $B$ is
→
A girl drops an apple from the window of a train which is moving on a straight track with speed increasing with a constant rate. The trajectory of the falling apple as seen by the girl is
→
There is a $5\Omega $ resistance in an $ac$, circuit. Inductance of $0.1\,H$ is connected with it in series. If equation of $ac$ $e.m.f$. is $5\sin 50t$ then the phase difference between current and $e.m.f$. is
→
A particle moves in a plane with constant acceleration in a direction different from the initial velocity. The path of the particle will be
→
Three capacitors each of capacitance $C$ and of breakdown voltage $V$ are joined in series. The capacitance and breakdown voltage of the combination will be
→
A coil having n turns and resistance $R\, \Omega$ is connected with a galvanometer of resistance $4\,R\Omega $. This combination is moved in time $t$ seconds from a magnetic field $W_1$ weber to $W_2$ weber. The induced current in the circuit is
→