Sample Problems
Sample Problems
Sample Problems
Chapter 5 – Refrigeration
1. A refrigeration system using R-22 has a capacity of 320 kW of refrigeration. The evaporating
temperature is -10°C and the condensing temperature is 40°C. Calculate the fraction of vapor in
the mixture before the evaporator. Properties of R-22:
At -10°C ; hg = 401.60 kJ/kg, hf = 188.43 kJ/kg
At 40°C ; hf = 249.69 kJ/kg
Solution:
For throttling process:
h3 = h 4
h3 = (hf + xhfg)4
249.69 = 188.43 + x (401.60 – 188.43)
x = 0.287
2. A carnot engine requires 35kJ/s from the hot source. The engine produces 15 kW of power and
the temperature of the sinks is 26°C. What is the temperature of the hot source in °C ?
Solution:
e = Wnet/QA = T1 – T2/T1
T1 = 523.25 K= 250.25 °C
thus;
t2 = 250.25 °C
3. An ideal vapor compression cycle requires 2.5 kW to power the compressor. You have found the
following data for the cycle: the enthalpy at the condenser entrance = 203 kJ/kg; exit = 55 kJ/kg;
evaporator entrance = 55 kJ/kg; exit 178 kJ/kg. If the mass of the refrigerant is 0.10 kg/s, then
the coefficient of performance of this refrigeration cycle is most nearly:
Solution:
COP = QA / Wc
where;
= 0.10(178-55)
=12.30 kW
thus;
COP = 12.30 / 2.5
COP = 4.92