Acarnot refrigeration cycle absorbs heat at -12 °c and rejects it at 40 °c. a)-calculate the coefficient of performance of this refrigeration cycle b)-if the cycle is absorbing 15 kw at the -12c temperature, how much power is required? c)-if a carnot heat pump operates between the same temperatures as the above refrigeration cycle, determine the cop of heat pump? d)-what is the rate of heat rejection at the 40°c temperature if the heat pump absorbs 15 kw at the -12 c temperature?

a)COP=5.01

b) KW

c)COP=6.01

d)

Explanation:

Given

= -12°C,=40°C

For refrigeration

  We know that Carnot cycle is an ideal cycle that have all reversible process.

So COP of refrigeration is given as follows

 ,T in Kelvin.

a)COP=5.01

Given that refrigeration effect= 15 KW

We know that  

RE is the refrigeration effect

So

5.01=

b) KW

For heat pump

So COP of heat pump is given as follows

 ,T in Kelvin.

c)COP=6.01

In heat pump

Heat rejection at high temperature=heat absorb at  low temperature+work in put

Given that KW

We know that  

d)