A Carnot engine absorbs $1000 J$ of heat energy from a reservoir at $127^{o} C$ and rejects $600 J$ of heat energy during each cycle. The efficiency of engine and temperature of sink will be respectively

20

% and

- 43^{o} C

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40

% and

- 33^{o} C

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50

% and

- 20^{o} C

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70

% and

- 10^{o} C

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Solution

The correct option is B $40$ % and $- 33^{o} C$
$η_{c a r n o t} = 1 - \frac{W}{Q_{1}}$
$W = Q_{1} - Q_{2}$
$η_{c a r n o t} = 0.4 = 40$ %

Also,
$η_{c a r n o t} = 1 - \frac{T_{2}}{T_{1}}$
$∴ T_{2} = 240 K = - 33^{o} C$

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1000 J

of heat from a reservoir at

127^{\circ} C

and reject

600 J

of heat during each cycle.
Calculate (a) The efficiency of engine
(b) The temperature of the sink
(c) The amount of the useful work done during each cycle.

Q. A Carnot engine absorbs 1000 J of heat from a reservoir at 127C and rejects 600 J of heat during each cycle.
Calculate
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(b) The temperature of the sink
(c) The amount of the useful work done during each cycle.

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(ii) Temperature of sink

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A Carnot engine is operated between 2 resovoirs at temperature 177°C and 77°C. If the engine recieves 4200J of heat energy from the source in each cycle, calculate the amount of heat rejected to the sink in each cycle. Calculate the efficiency of engine.

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A Carnot engine absorbs 1000 J of heat energy from a reservoir at 127oC and rejects 600 J of heat energy during each cycle. The efficiency of engine and temperature of sink will be respectively

The correct option is B 40% and −33oCηcarnot=1−WQ1W=Q1−Q2ηcarnot=0.4=40%Also,ηcarnot=1−T2T1∴T2=240K=−33oC

A Carnot engine absorbs $1000 J$ of heat energy from a reservoir at $127^{o} C$ and rejects $600 J$ of heat energy during each cycle. The efficiency of engine and temperature of sink will be respectively

The correct option is B $40$ % and $- 33^{o} C$
$η_{c a r n o t} = 1 - \frac{W}{Q_{1}}$
$W = Q_{1} - Q_{2}$
$η_{c a r n o t} = 0.4 = 40$ %

Also,
$η_{c a r n o t} = 1 - \frac{T_{2}}{T_{1}}$
$∴ T_{2} = 240 K = - 33^{o} C$