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Question

An air-cooled condenser is used to condense isobutane in a binary geothermal power plant. The isobutane is condensed at $85^\circ C$ by air $(c_p = 1.0 kJ/kg \cdot K)$ that enters at $22^\circ C$ at a rate of 18 kg/s. The overall heat transfer coefficient and the surface area for this heat exchanger are $2.4 kW/m^2 \cdot K$ and $1.25 m^2,$ respectively. The outlet temperature of air is (a) $45.4^\circ C$(b) $40.9^\circ C$ (c) $37.5^\circ C$ (d) $34.2^\circ C$ (e) $31.7^\circ C$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 9$\textbf{Given:}$

- $T_ {h,in}=T_{h,out}= 85 \hspace{1mm} \text{\textdegree}{\text{C}}$
- $c_{p,c}=1.00 \hspace{1mm} \frac{\text{kJ}}{\text{kg} \cdot \text{K}}=1 \times 10^3 \hspace{1mm} \frac{\text{J}}{\text{kg} \cdot \text{K}}$
- $T_ {c,in}=22 \hspace{1mm} \text{\textdegree}{\text{C}}$
- $\dot{m}_c= 18 \hspace{1mm} \frac{\text{kg}}{\text{s}}$
- $U =2.4 \hspace{1mm} \frac{\text{kW}}{\text{m}^2 \cdot \text{K}}=2.4 \times 10^3 \hspace{1mm} \frac{\text{W}}{\text{m}^2 \cdot \text{K}}$
- $A_s=1.25 \hspace{1mm} \text{m}^2$ An air-cooled condenser is used to condense isobutane in a binary geothermal power plant. The outlet temperature of air is to be determined.

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