For the questions below, answer if the statement is true orfalse and explain how you reach to your conclusion.

a. The Clausius statement of the second law denies thepossibility of transferring energy by heat from a cooler to ahotter body?

b. The COP if a reversible refrigeration cycles is always equalto the COP of an irreversible refrigeration cycle when eachoperates between the same two thermal reservoirs.

c. The Kelvin–Planck and Clausius statements of the second lawof thermodynamics are equivalent because a violation of onestatement implies the violation of the other.

d. Mass, energy, entropy, and temperature are examples ofextensive properties.

e. For reversible refrigeration and heat pump cycles operatingbetween the same hot and cold reservoirs, the relation betweentheir coefficients of performance is COPR = COPHP + 1.

f. For a reversible heat pump that operates between cold and hotthermal reservoirs at 300°C and 500°C, respectively, the COP isequal to 2.87

g. An experimentalist claims to have raised the temperature of asmall amount of water by 150°C by transferring heat fromhigh-pressure steam at 120°C. Is this a reasonable claim? Assumethat no refrigerator or heat pump is used in the process.

h. In the absence of any friction and other irreversibilities,can a heat engine have an efficiency of 100%?

i. A heat pump that is used to heat a house has a COP of 2.5 anddelivers 2.5 kJ/s to the house for each 1 kWh of electricity itconsumes. Is this a violation of the first law ofthermodynamics?

j. You visit a department store interested in buying a AC unitthat has a COP of at least 4. The manufacturer labels do not showCOP values but shows that the EER for the refrigerator you areinterested in is 14. Will this refrigerator meet your COPconstraint?