P-h Diagram
Refrigerant HFC-134a is used for a vapor-compression refrigeration cycle. If the evaporator temperature is 40°C, and the condenser temperature is 60°C, what is the evaporator cooling in kJ/kg?
![](/img/v3/b4ee68fc-5bc7-4138-95bd-c7d5b6cb7a44.png)
Expand Hint
For this specific problem, the pressure vs enthalpy diagram is:
![](/img/v3/963bfeb2-d331-47de-becc-309074b6b5c5.png)
Hint 2
For Boilers, Condensers, and Evaporators:
$$$h_{in}+q=h_{exit}$$$
where
$$h$$
is specific enthalpy, and
$$q$$
is the heat transfer per unit mass.
For this specific problem, the pressure vs enthalpy diagram is:
![](/img/v3/da0908eb-c1b5-4cec-ad6a-f41028e10415.png)
For Boilers, Condensers, and Evaporators:
$$$h_{in}+q=h_{exit}$$$
where
$$h$$
is specific enthalpy, and
$$q$$
is the heat transfer per unit mass. Per the problem statement’s P-h diagram:
$$$q_{evaporator}=h_{1}-h_{4}$$$
In the P-h diagram for Refrigerant HFC-134a, the enthalpy associated with the evaporator’s 40°C temperature intersecting with the saturated vapor curve (1) is
$$h_1$$
(2). The enthalpy associated with condenser’s 60°C intersecting with the saturated liquid curve (3) is
$$h_3$$
(4).
![](/img/v3/f014bcf6-f215-4733-a2bc-e539ffebcf81.png)
Because
$$h_3=h_4$$
based on the vapor-compression refrigeration cycle:
$$$q_{evaporator}=430\frac{kJ}{kg}-290\frac{kJ}{kg}=140\:\frac{kJ}{kg}$$$
140 kJ/kg
Time Analysis
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