1
GATE ME 2003
MCQ (Single Correct Answer)
+1
-0.3
An industrial heat pump operates between the temperatures of $${27^ \circ }C$$ and $$ - {13^ \circ }C.$$ The rates of heat addition and heat rejection are $$750$$ $$W$$ and $$1000$$ $$W,$$ respectively. The $$COP$$ for the heat pump is
A
$$7.5$$
B
$$6.5$$
C
$$4.0$$
D
$$3.0$$
2
GATE ME 2003
MCQ (Single Correct Answer)
+2
-0.6
Considering the relationship $$TdS=dU+PdV$$ between the entropy $$(S),$$ internal energy $$(U),$$ pressure $$(P),$$temperature $$(T)$$ and volume $$(V),$$
Which of the following statements is correct?
A
It is applicable only for a reversible process
B
For an irreversible process,
$$TdS > dU + pdV$$
C
It is valid only for an ideal gas
D
It is equivalent to first law, for a reversible process
3
GATE ME 2003
MCQ (Single Correct Answer)
+2
-0.6
Nitrogen gas (molecular weight $$28$$) is enclosed in a cylinder by a piston, at the initial condition of $$2$$ bar, $$298$$ $$K$$ and $$1\,\,{m^3}$$. In a particular process, the gas slowly expands under isothermal condition, until the volume becomes $$2{m^3}.$$ Heat exchange occurs with the atmosphere at $$298$$ $$K$$ during this process.

The work interaction for the Nitrogen gas is

A
$$200$$ $$kJ$$
B
$$138.6$$ $$kJ$$
C
$$2$$ $$kJ$$
D
$$-200$$ $$kJ$$
4
GATE ME 2003
MCQ (Single Correct Answer)
+2
-0.6
Nitrogen gas (molecular weight $$28$$) is enclosed in a cylinder by a piston, at the initial condition of $$2$$ bar, $$298$$ $$K$$ and $$1\,\,{m^3}$$. In a particular process, the gas slowly expands under isothermal condition, until the volume becomes $$2{m^3}.$$ Heat exchange occurs with the atmosphere at $$298$$ $$K$$ during this process.

The entropy change for the system during the process in $$kJ/K$$ is

A
$$0.4652$$
B
$$0.0067$$
C
$$0$$
D
$$-0.6711$$
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