(C) For a Carnot engine,efficiency $\eta = 1 - \frac{T_2}{T_1}$.Given $\eta = 25 \% = 0.25$ and $T_1 = 127^{\circ} C = (127 + 273) K = 400 K$.Substitu

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(C) For a Carnot engine,efficiency $\eta = 1 - \frac{T_2}{T_1}$.Given $\eta = 25 \% = 0.25$ and $T_1 = 127^{\circ} C = (127 + 273) K = 400 K$.Substituting these values: $0.25 = 1 - \frac{T_2}{400}$.$\frac{T_2}{400} = 1 - 0.25 = 0.75$.$T_2 = 0.75 \times 400 = 300 K$.In the second case,the sink temperature is decreased by $10 \%$,so $T_2' = T_2 - 0.10 T_2 = 0.9 T_2$.$T_2' = 0.9 \times 300 = 270 K$.The new efficiency $\eta' = 1 - \frac{T_2'}{T_1} = 1 - \frac{270}{400}$.$\eta' = 1 - 0.675 = 0.325 = 32.5 \%$.

Class 11 Physics Thermodynamics Heat Engine and Carnot Cycle

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The efficiency of a Carnot heat engine is $25 \%$ and the temperature of its source is $127^{\circ} C$. Without changing the temperature of the source,if the absolute temperature of the sink is decreased by $10 \%$,the new efficiency of the engine is: (in $\%$)

AP EAMCET 2024 All AP EAMCET

A
$27.5$
B
$17.5$
C
$32.5$
D
$22.5$

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Heat Engine and Carnot Cycle

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$A$ Carnot engine has an efficiency of $50\%$ when its source is at a temperature $327^{\circ}C$. The temperature of the sink is $.........^{\circ}C$.

MediumNEET 2023

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An ideal heat engine based on the Carnot cycle operates between temperatures of $227 \, ^\circ C$ and $127 \, ^\circ C$. If it absorbs $6 \times 10^{4} \, cal$ of heat from the high-temperature reservoir,the net work done by the engine is:

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$A$ Carnot engine working between $400\, K$ and $800\, K$ has a work output of $1200\, J$ per cycle. The amount of heat energy supplied to the engine from the source in each cycle is ........... $J$

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The efficiency of a Carnot heat engine is $25 \%$ and the temperature of its source is $127^{\circ} C$. Without changing the temperature of the source,if the absolute temperature of the sink is decreased by $10 \%$,the new efficiency of the engine is: (in $\%$)

Similar Questions

Determine the efficiency of a Carnot cycle if,in the adiabatic expansion,the volume becomes $3$ times its initial value and $\gamma = 1.5$.

Consider a Carnot cycle operating between $T_1 = 500\, K$ and $T_2 = 300\, K$ producing $1\, kJ$ of mechanical work per cycle. Find the heat transferred to the engine by the reservoirs.

$A$ Carnot engine has an efficiency of $50\%$ when its source is at a temperature $327^{\circ}C$. The temperature of the sink is $.........^{\circ}C$.

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$A$ Carnot engine working between $400\, K$ and $800\, K$ has a work output of $1200\, J$ per cycle. The amount of heat energy supplied to the engine from the source in each cycle is ........... $J$

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