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Question

Water is boiled at $150^\circ C$ in a boiler by hot exhaust gases $(c_p = 1.05 kJ/kg \cdot ^\circ C)$ that enter the boiler at $400^\circ C$ at a rate of 0.4 kg/s and leaves at $200^\circ C.$ The surface area of the heat exchanger is $0.64 m^2.$ The overall heat transfer coefficient of this heat exchanger is (a) $940 W/m^2 \cdot K$ (b) $1056 W/m^2 \cdot K$ (c) $1145 W/m^2 \cdot K$ (d) $1230 W/m^2 \cdot K$ (e) $1393 W/m^2 \cdot K$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 9$\textbf{Given:}$

- $T_ {c,in}=150 \hspace{1mm} \text{\textdegree}{\text{C}}$
- $c_{p,h}=1.05 \hspace{1mm} \frac{\text{kJ}}{\text{kg} \cdot \text{\textdegree}{\text{C}}}=1.05 \times 10^3 \hspace{1mm} \frac{\text{J}}{\text{kg} \cdot \text{\textdegree}{\text{C}}}$
- $T_ {h,in}=400 \hspace{1mm} \text{\textdegree}{\text{C}}$
- $\dot{m}_h= 0.4 \hspace{1mm} \frac{\text{kg}}{\text{s}}$
- $T_ {h,out}=200 \hspace{1mm} \text{\textdegree}{\text{C}}$
- $A_s=0.64 \hspace{1mm} \text{m}^2$ Water is boiled in a boiler by hot exhaust gases. The overall heat transfer coefficient is to be determined.

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