Allied & ICAR Exam Bank • ALLIED_0686 NAT • 2 Marks

Section 7: Dairy and Food Engineering

Heat and Mass Transfer in Food Processing

Subtopic: Heat and Mass Transfer in Food Processing

Question Statement:

In a milk pasteurizer heat exchanger, the terminal temperature differences at the two ends are $\Delta T_1 = 40^\circ\text{C}$ and $\Delta T_2 = 10^\circ\text{C}$. Given $\ln(40/10) = \ln(4) \approx 1.3863$, the LMTD $\Delta T_{lm} = \frac{40 - 10}{1.3863} = \frac{30}{1.3863}$ in $^\circ\text{C}$ is (rounded off to one decimal place):

Answer Key:

21.6

Step-by-Step Solution & Explanation

$\Delta T_{lm} = 30 / 1.38629 = 21.64^\circ\text{C} \approx 21.6^\circ\text{C}$.
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