(B) The temperatures are $T_{1} = 627 + 273 = 900 \text{ K}$ and $T_{2} = 27 + 273 = 300 \text{ K}$.Efficiency $\eta = 1 - \frac{T_{2}}{T_{1}} = 1 - \

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(B) The temperatures are $T_{1} = 627 + 273 = 900 \text{ K}$ and $T_{2} = 27 + 273 = 300 \text{ K}$.Efficiency $\eta = 1 - \frac{T_{2}}{T_{1}} = 1 - \frac{300}{900} = 1 - \frac{1}{3} = \frac{2}{3}$.Heat absorbed $Q_{1} = 3 \times 10^{6} \text{ cal} = 3 \times 10^{6} \times 4.2 \text{ J} = 12.6 \times 10^{6} \text{ J}$.Work done $W = \eta \times Q_{1} = \frac{2}{3} \times 12.6 \times 10^{6} \text{ J} = 8.4 \times 10^{6} \text{ J}$.

Class 11 Physics Thermodynamics Heat Engine and Carnot Cycle

Medium

$A$ Carnot engine absorbs $3 \times 10^{6} \text{ cal}$ of heat from a reservoir at $627^{\circ}C$ and rejects it at $27^{\circ}C$. The work done by the engine is:

A
$4.2 \times 10^{6} \text{ J}$
B
$8.4 \times 10^{6} \text{ J}$
C
$16.8 \times 10^{6} \text{ J}$
D
Zero

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Thermodynamics

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Heat Engine and Carnot Cycle

Does a Carnot engine working under an isothermal state perform any useful work?

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$A$ Carnot engine,whose efficiency is $40\%$,takes in heat from a source maintained at a temperature of $500\ K$. It is desired to have an engine of efficiency $60\%$. Then,the intake temperature for the same exhaust (sink) temperature must be ....... $K$.

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An ideal Carnot engine,whose efficiency is $40 \%$ receives heat at $500 \; K$. If its efficiency is $50 \%$ then the intake temperature for the same exhaust temperature is ......... $K$.

MediumAIPMT 1995

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Consider a reversible engine of efficiency $\frac{1}{6}$. When the temperature of the sink is reduced by $62^{\circ} C$, its efficiency gets doubled. The temperature of the source and sink respectively are

MediumTS EAMCET 2017

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$A$ Carnot engine whose heat sink is at $27^{\circ} C$ has an efficiency of $40 \%$. By how much should its source temperature be changed so as to increase its efficiency to $60 \% (in $K$)?$

MediumAP EAMCET 2021

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$A$ Carnot engine absorbs $3 \times 10^{6} \text{ cal}$ of heat from a reservoir at $627^{\circ}C$ and rejects it at $27^{\circ}C$. The work done by the engine is:

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Does a Carnot engine working under an isothermal state perform any useful work?

$A$ Carnot engine,whose efficiency is $40\%$,takes in heat from a source maintained at a temperature of $500\ K$. It is desired to have an engine of efficiency $60\%$. Then,the intake temperature for the same exhaust (sink) temperature must be ....... $K$.

An ideal Carnot engine,whose efficiency is $40 \%$ receives heat at $500 \; K$. If its efficiency is $50 \%$ then the intake temperature for the same exhaust temperature is ......... $K$.

Consider a reversible engine of efficiency $\frac{1}{6}$. When the temperature of the sink is reduced by $62^{\circ} C$, its efficiency gets doubled. The temperature of the source and sink respectively are

$A$ Carnot engine whose heat sink is at $27^{\circ} C$ has an efficiency of $40 \%$. By how much should its source temperature be changed so as to increase its efficiency to $60 \% (in $K$)?$

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