1
GATE ME 2007
MCQ (Single Correct Answer)
+2
-0.6
An irreversible heat engine extracts heat from a high temperature source at a rate of $$100kW$$ and rejects heat to a sink at a rate of $$50kW.$$ The entire work output of the heat engine is used to drive a reversible heat pump operating between a set of independent isothermal heat reservoirs at $${17^ \circ }C$$ and $${75^ \circ }C$$. The rate (in $$kW$$) at which the heat pump delivers heat to its high temperature sink is
A
$$50$$
B
$$250$$
C
$$300$$
D
$$360$$
2
GATE ME 2007
MCQ (Single Correct Answer)
+1
-0.3
Which of the following relationships is valid only for reversible process undergone by a closed system of simple compressible substance (neglect changes in kinetic and potential energy?
A
$$\delta Q = dU + \delta W$$
B
$$T\,\,dS = dU + p\,dv$$
C
$$T\,\,dS = dU + \delta W$$
D
$$\delta Q = dU + p\,\,dv$$
3
GATE ME 2007
MCQ (Single Correct Answer)
+2
-0.6
Which combination of the following statements is correct?

The incorporation of re-heater in a steam power plant.

$$P:$$ always increases the thermal efficiency of the plant.
$$Q:$$ always increases the dryness function of steam at condenser inlet.
$$R:$$ always increases the mean temperature of heat addition
$$S:$$ always increases the specific work output.

A
$$P$$ and $$S$$
B
$$Q$$ and $$S$$
C
$$P,R$$ and $$S$$
D
$$P,Q,R$$ and $$S$$
4
GATE ME 2007
MCQ (Single Correct Answer)
+1
-0.3
A model of a hydraulic turbine is tested at a head of $$1/{4^{th}}$$ of that under which the full scale turbine works. The diameter of the model is half of that of the full scale turbine. If $$N$$ is the $$RPM$$ of the full scale turbine, then the $$RPM$$ of the model will be
A
$$N/4$$
B
$$N/2$$
C
$$N$$
D
$$2N$$
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