09. Heat Engine, Carnot’s Cycle and Refrigeration (COP)
Thermodynamics

148665 A Carnot's engine is working between a source at constant temperature $T_{1}$ and a sink at constant temperature $T_{2}$ has efficiency as $\frac{1}{8}$. Upon decreasing the temperature of sink by $50^{\circ} \mathrm{C}$, the efficiency becomes $\frac{1}{4}$. Then the values of $T_{1}$ and $T_{2}$ are

1 $\mathrm{T}_{1}=127^{\circ} \mathrm{C}, \mathrm{T}_{2}=77^{\circ} \mathrm{C}$
2 $\mathrm{T}_{1}=400^{\circ} \mathrm{C}, \mathrm{T}_{2}=315^{\circ} \mathrm{C}$
3 $\mathrm{T}_{1}=215^{\circ} \mathrm{C}, \mathrm{T}_{2}=100^{\circ} \mathrm{C}$
4 $\mathrm{T}_{1}=100^{\circ} \mathrm{C}, \mathrm{T}_{2}=215^{\circ} \mathrm{C}$
Thermodynamics

148666 The temperature of the sink of a Carnot engine is $250 \mathrm{~K}$. In order to increase the efficiency of the Carnot engine from $25 \%$ to $50 \%$, the temperature of the source should be increased by

1 $\frac{1}{3} \times 10^{3} \mathrm{~K}$
2 $\frac{1}{2} \times 10^{3} \mathrm{~K}$
3 $200 \mathrm{~K}$
4 $\frac{1}{6} \times 10^{3} \mathrm{~K}$
Thermodynamics

148667 A Carnot engine develops $\mathbf{1 0 0} \mathrm{hp}$ and operates between $300 \mathrm{~K}$ and $500 \mathrm{~K}$. Find its thermal efficiency.

1 $25 \%$
2 $35 \%$
3 $40 \%$
4 $38 \%$
Thermodynamics

148668 A Carnot engine takes heat from a source at $627^{\circ} \mathrm{C}$ and rejects heat to sink at $27^{\circ} \mathrm{C}$. In its 10 cycles of operation, it rejects $600 \mathrm{~J}$ of heat energy to the sink. The heat absorbed per cycle of operation is

1 $6000 \mathrm{~J}$
2 $1800 \mathrm{~J}$
3 $180 \mathrm{~J}$
4 $1333 \mathrm{~J}$
Thermodynamics

148669 A thermodynamic system is taken around the cycle $A B C D A$ and the $P-V$ diagram for the whole process is as shown in the diagram. The work done during the cycle is

1 $12 \mathrm{PV}$
2 $120 \mathrm{PV}$
3 $20 \mathrm{PV}$
4 $60 \mathrm{PV}$
Thermodynamics

148665 A Carnot's engine is working between a source at constant temperature $T_{1}$ and a sink at constant temperature $T_{2}$ has efficiency as $\frac{1}{8}$. Upon decreasing the temperature of sink by $50^{\circ} \mathrm{C}$, the efficiency becomes $\frac{1}{4}$. Then the values of $T_{1}$ and $T_{2}$ are

1 $\mathrm{T}_{1}=127^{\circ} \mathrm{C}, \mathrm{T}_{2}=77^{\circ} \mathrm{C}$
2 $\mathrm{T}_{1}=400^{\circ} \mathrm{C}, \mathrm{T}_{2}=315^{\circ} \mathrm{C}$
3 $\mathrm{T}_{1}=215^{\circ} \mathrm{C}, \mathrm{T}_{2}=100^{\circ} \mathrm{C}$
4 $\mathrm{T}_{1}=100^{\circ} \mathrm{C}, \mathrm{T}_{2}=215^{\circ} \mathrm{C}$
Thermodynamics

148666 The temperature of the sink of a Carnot engine is $250 \mathrm{~K}$. In order to increase the efficiency of the Carnot engine from $25 \%$ to $50 \%$, the temperature of the source should be increased by

1 $\frac{1}{3} \times 10^{3} \mathrm{~K}$
2 $\frac{1}{2} \times 10^{3} \mathrm{~K}$
3 $200 \mathrm{~K}$
4 $\frac{1}{6} \times 10^{3} \mathrm{~K}$
Thermodynamics

148667 A Carnot engine develops $\mathbf{1 0 0} \mathrm{hp}$ and operates between $300 \mathrm{~K}$ and $500 \mathrm{~K}$. Find its thermal efficiency.

1 $25 \%$
2 $35 \%$
3 $40 \%$
4 $38 \%$
Thermodynamics

148668 A Carnot engine takes heat from a source at $627^{\circ} \mathrm{C}$ and rejects heat to sink at $27^{\circ} \mathrm{C}$. In its 10 cycles of operation, it rejects $600 \mathrm{~J}$ of heat energy to the sink. The heat absorbed per cycle of operation is

1 $6000 \mathrm{~J}$
2 $1800 \mathrm{~J}$
3 $180 \mathrm{~J}$
4 $1333 \mathrm{~J}$
Thermodynamics

148669 A thermodynamic system is taken around the cycle $A B C D A$ and the $P-V$ diagram for the whole process is as shown in the diagram. The work done during the cycle is

1 $12 \mathrm{PV}$
2 $120 \mathrm{PV}$
3 $20 \mathrm{PV}$
4 $60 \mathrm{PV}$
Thermodynamics

148665 A Carnot's engine is working between a source at constant temperature $T_{1}$ and a sink at constant temperature $T_{2}$ has efficiency as $\frac{1}{8}$. Upon decreasing the temperature of sink by $50^{\circ} \mathrm{C}$, the efficiency becomes $\frac{1}{4}$. Then the values of $T_{1}$ and $T_{2}$ are

1 $\mathrm{T}_{1}=127^{\circ} \mathrm{C}, \mathrm{T}_{2}=77^{\circ} \mathrm{C}$
2 $\mathrm{T}_{1}=400^{\circ} \mathrm{C}, \mathrm{T}_{2}=315^{\circ} \mathrm{C}$
3 $\mathrm{T}_{1}=215^{\circ} \mathrm{C}, \mathrm{T}_{2}=100^{\circ} \mathrm{C}$
4 $\mathrm{T}_{1}=100^{\circ} \mathrm{C}, \mathrm{T}_{2}=215^{\circ} \mathrm{C}$
Thermodynamics

148666 The temperature of the sink of a Carnot engine is $250 \mathrm{~K}$. In order to increase the efficiency of the Carnot engine from $25 \%$ to $50 \%$, the temperature of the source should be increased by

1 $\frac{1}{3} \times 10^{3} \mathrm{~K}$
2 $\frac{1}{2} \times 10^{3} \mathrm{~K}$
3 $200 \mathrm{~K}$
4 $\frac{1}{6} \times 10^{3} \mathrm{~K}$
Thermodynamics

148667 A Carnot engine develops $\mathbf{1 0 0} \mathrm{hp}$ and operates between $300 \mathrm{~K}$ and $500 \mathrm{~K}$. Find its thermal efficiency.

1 $25 \%$
2 $35 \%$
3 $40 \%$
4 $38 \%$
Thermodynamics

148668 A Carnot engine takes heat from a source at $627^{\circ} \mathrm{C}$ and rejects heat to sink at $27^{\circ} \mathrm{C}$. In its 10 cycles of operation, it rejects $600 \mathrm{~J}$ of heat energy to the sink. The heat absorbed per cycle of operation is

1 $6000 \mathrm{~J}$
2 $1800 \mathrm{~J}$
3 $180 \mathrm{~J}$
4 $1333 \mathrm{~J}$
Thermodynamics

148669 A thermodynamic system is taken around the cycle $A B C D A$ and the $P-V$ diagram for the whole process is as shown in the diagram. The work done during the cycle is

1 $12 \mathrm{PV}$
2 $120 \mathrm{PV}$
3 $20 \mathrm{PV}$
4 $60 \mathrm{PV}$
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Thermodynamics

148665 A Carnot's engine is working between a source at constant temperature $T_{1}$ and a sink at constant temperature $T_{2}$ has efficiency as $\frac{1}{8}$. Upon decreasing the temperature of sink by $50^{\circ} \mathrm{C}$, the efficiency becomes $\frac{1}{4}$. Then the values of $T_{1}$ and $T_{2}$ are

1 $\mathrm{T}_{1}=127^{\circ} \mathrm{C}, \mathrm{T}_{2}=77^{\circ} \mathrm{C}$
2 $\mathrm{T}_{1}=400^{\circ} \mathrm{C}, \mathrm{T}_{2}=315^{\circ} \mathrm{C}$
3 $\mathrm{T}_{1}=215^{\circ} \mathrm{C}, \mathrm{T}_{2}=100^{\circ} \mathrm{C}$
4 $\mathrm{T}_{1}=100^{\circ} \mathrm{C}, \mathrm{T}_{2}=215^{\circ} \mathrm{C}$
Thermodynamics

148666 The temperature of the sink of a Carnot engine is $250 \mathrm{~K}$. In order to increase the efficiency of the Carnot engine from $25 \%$ to $50 \%$, the temperature of the source should be increased by

1 $\frac{1}{3} \times 10^{3} \mathrm{~K}$
2 $\frac{1}{2} \times 10^{3} \mathrm{~K}$
3 $200 \mathrm{~K}$
4 $\frac{1}{6} \times 10^{3} \mathrm{~K}$
Thermodynamics

148667 A Carnot engine develops $\mathbf{1 0 0} \mathrm{hp}$ and operates between $300 \mathrm{~K}$ and $500 \mathrm{~K}$. Find its thermal efficiency.

1 $25 \%$
2 $35 \%$
3 $40 \%$
4 $38 \%$
Thermodynamics

148668 A Carnot engine takes heat from a source at $627^{\circ} \mathrm{C}$ and rejects heat to sink at $27^{\circ} \mathrm{C}$. In its 10 cycles of operation, it rejects $600 \mathrm{~J}$ of heat energy to the sink. The heat absorbed per cycle of operation is

1 $6000 \mathrm{~J}$
2 $1800 \mathrm{~J}$
3 $180 \mathrm{~J}$
4 $1333 \mathrm{~J}$
Thermodynamics

148669 A thermodynamic system is taken around the cycle $A B C D A$ and the $P-V$ diagram for the whole process is as shown in the diagram. The work done during the cycle is

1 $12 \mathrm{PV}$
2 $120 \mathrm{PV}$
3 $20 \mathrm{PV}$
4 $60 \mathrm{PV}$
Thermodynamics

148665 A Carnot's engine is working between a source at constant temperature $T_{1}$ and a sink at constant temperature $T_{2}$ has efficiency as $\frac{1}{8}$. Upon decreasing the temperature of sink by $50^{\circ} \mathrm{C}$, the efficiency becomes $\frac{1}{4}$. Then the values of $T_{1}$ and $T_{2}$ are

1 $\mathrm{T}_{1}=127^{\circ} \mathrm{C}, \mathrm{T}_{2}=77^{\circ} \mathrm{C}$
2 $\mathrm{T}_{1}=400^{\circ} \mathrm{C}, \mathrm{T}_{2}=315^{\circ} \mathrm{C}$
3 $\mathrm{T}_{1}=215^{\circ} \mathrm{C}, \mathrm{T}_{2}=100^{\circ} \mathrm{C}$
4 $\mathrm{T}_{1}=100^{\circ} \mathrm{C}, \mathrm{T}_{2}=215^{\circ} \mathrm{C}$
Thermodynamics

148666 The temperature of the sink of a Carnot engine is $250 \mathrm{~K}$. In order to increase the efficiency of the Carnot engine from $25 \%$ to $50 \%$, the temperature of the source should be increased by

1 $\frac{1}{3} \times 10^{3} \mathrm{~K}$
2 $\frac{1}{2} \times 10^{3} \mathrm{~K}$
3 $200 \mathrm{~K}$
4 $\frac{1}{6} \times 10^{3} \mathrm{~K}$
Thermodynamics

148667 A Carnot engine develops $\mathbf{1 0 0} \mathrm{hp}$ and operates between $300 \mathrm{~K}$ and $500 \mathrm{~K}$. Find its thermal efficiency.

1 $25 \%$
2 $35 \%$
3 $40 \%$
4 $38 \%$
Thermodynamics

148668 A Carnot engine takes heat from a source at $627^{\circ} \mathrm{C}$ and rejects heat to sink at $27^{\circ} \mathrm{C}$. In its 10 cycles of operation, it rejects $600 \mathrm{~J}$ of heat energy to the sink. The heat absorbed per cycle of operation is

1 $6000 \mathrm{~J}$
2 $1800 \mathrm{~J}$
3 $180 \mathrm{~J}$
4 $1333 \mathrm{~J}$
Thermodynamics

148669 A thermodynamic system is taken around the cycle $A B C D A$ and the $P-V$ diagram for the whole process is as shown in the diagram. The work done during the cycle is

1 $12 \mathrm{PV}$
2 $120 \mathrm{PV}$
3 $20 \mathrm{PV}$
4 $60 \mathrm{PV}$