(A) The thermal efficiency of a Carnot engine is given by the formula:$\eta = \frac{W}{Q_1} = 1 - \frac{T_2}{T_1}$Given:Work done $W = 300 \,J$Heat ab

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(A) The thermal efficiency of a Carnot engine is given by the formula:$\eta = \frac{W}{Q_1} = 1 - \frac{T_2}{T_1}$Given:Work done $W = 300 \,J$Heat absorbed $Q_1 = 400 \,J$Source temperature $T_1 = 1000 \,K$Sink temperature $T_2 = T$Substituting the values into the efficiency formula:$\frac{300}{400} = 1 - \frac{T}{1000}$$\frac{3}{4} = 1 - \frac{T}{1000}$Rearranging for $T$:$\frac{T}{1000} = 1 - \frac{3}{4} = \frac{1}{4}$$T = \frac{1000}{4} = 250 \,K$Therefore, the temperature of the sink is $250 \,K$.

Class 11 Physics Thermodynamics Heat Engine and Carnot Cycle

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$A$ Carnot engine absorbs heat from a reservoir maintained at temperature $1000 \,K$. The engine rejects heat to a reservoir whose temperature is $T$. If the magnitude of absorbed heat is $400 \,J$ and work performed is $300 \,J$, then the value of $T$ is (in $\,K$)

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$A$ Carnot engine absorbs heat from a reservoir maintained at temperature $1000 \,K$. The engine rejects heat to a reservoir whose temperature is $T$. If the magnitude of absorbed heat is $400 \,J$ and work performed is $300 \,J$, then the value of $T$ is (in $\,K$)

Similar Questions

$A$ Carnot engine operates between two reservoirs of temperatures $900 \; K$ and $300 \; K$. The engine performs $1200 \; J$ of work per cycle. The heat energy (in $J$) delivered by the engine to the low-temperature reservoir in a cycle is:

$A$ steam engine delivers $5.4 \times 10^{8} \;J$ of work per minute and receives $3.6 \times 10^{9} \;J$ of heat per minute from its boiler. What is the efficiency of the engine? How much heat is wasted per minute?

$A$ Carnot engine operating between temperatures $T_1$ and $T_2$ has an efficiency of $\frac{1}{6}$. When $T_2$ is lowered by $62\, K$,its efficiency increases to $\frac{1}{3}$. Then $T_1$ and $T_2$ are,respectively:

The efficiency of an ideal heat engine working between the freezing point and boiling point of water is ........ $\%$

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