$A$ Carnot engine operating between two reservoirs has an efficiency of $\frac{1}{3}$. When the temperature of the cold reservoir is raised by $x$,its efficiency decreases to $\frac{1}{6}$. The value of $x$,if the temperature of the hot reservoir is $99^{\circ} C$,will be $........ K$.
- A$16.5$
- B$33$
- C$66$
- D$62$
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Similar Questions
The temperature of the sink of a Carnot engine is $27^\circ C$. The efficiency of the engine is $25\%$. Then the temperature of the source is ...... $^\circ C$.
Medium
View SolutionThe efficiency of a Carnot engine is $25 \%$,when the temperature of the sink is $300 \ K$. The increase in the temperature of the source required for the efficiency to become $50 \%$ is (in $K$)
Work done by a Carnot engine operating between temperatures $127^{\circ}C$ and $27^{\circ}C$ is $2\,kJ$. The amount of heat transferred to the engine by the source is $........\,kJ$.
$A$ number of Carnot engines are operated at identical cold reservoir temperatures $(T_{L})$. However,their hot reservoir temperatures are kept different. $A$ graph of the efficiency of the engines versus hot reservoir temperature $(T_{H})$ is plotted. The correct graphical representation is
DifficultKCET 2021
View SolutionMatch the temperatures of the source and sink ($T_1$ and $T_2$ respectively) of a Carnot heat engine given in List-$I$ with the corresponding efficiencies given in List-$II$.
List-$I$ List-$II$ $A$. $T_1 = 500 \text{ K}, T_2 = 300 \text{ K}$ $i$. $0.2$ $B$. $T_1 = 500 \text{ K}, T_2 = 350 \text{ K}$ $ii$. $0.3$ $C$. $T_1 = 800 \text{ K}, T_2 = 400 \text{ K}$ $iii$. $0.4$ $D$. $T_1 = 450 \text{ K}, T_2 = 360 \text{ K}$ $iv$. $0.5$
| List-$I$ | List-$II$ |
| $A$. $T_1 = 500 \text{ K}, T_2 = 300 \text{ K}$ | $i$. $0.2$ |
| $B$. $T_1 = 500 \text{ K}, T_2 = 350 \text{ K}$ | $ii$. $0.3$ |
| $C$. $T_1 = 800 \text{ K}, T_2 = 400 \text{ K}$ | $iii$. $0.4$ |
| $D$. $T_1 = 450 \text{ K}, T_2 = 360 \text{ K}$ | $iv$. $0.5$ |
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