$A$ Carnot engine uses an ideal monoatomic gas first and then an ideal diatomic gas. If the source and sink temperatures are $411^{\circ}C$ and $69^{\circ}C$ respectively,and the engine extracts $1000 \, J$ of heat in each cycle,then the area enclosed by the $PV$ diagram is ........ $J$.
- A$100$
- B$300$
- C$500$
- D$700$
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In a Carnot engine,if the temperatures of the source and the sink are decreased by $100 \ K$ each,then the efficiency of the engine:
The efficiency of an ideal Carnot engine working between temperatures $T_1$ and $T_2$ is $1/3$. If the temperature of the sink is reduced by $40 \%$,then its efficiency will be: (in $\%$)
Match 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-$II$ |
| $A$. $T_1 = 500 \text{ K}, T_2 = 300 \text{ K}$ | $i$. $0.2$ |
| $B$. $T_1 = 500 \text{ K}, T_2 = 350 \text{ K}$ | $ii$. $0.3$ |
| $C$. $T_1 = 800 \text{ K}, T_2 = 400 \text{ K}$ | $iii$. $0.4$ |
| $D$. $T_1 = 450 \text{ K}, T_2 = 360 \text{ K}$ | $iv$. $0.5$ |
$A$ Carnot cycle consists of
Easy
View Solution$A$ Carnot engine $A$ working between temperatures $600 \ K$ and $T$ $(T < 600 \ K)$ and another Carnot engine $B$ working between temperatures $T$ $(T > 400 \ K)$ and $400 \ K$ are connected in series. If the work done by both the engines is the same, then $T =$ (in $K$)
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