Question Bank • QB_DFE_EXP_007 NAT • 2 Marks

Section 7: Dairy and Food Engineering

Heat and Mass Transfer

Subtopic: Steady state heat transfer in conduction, convection and radiation

Question Statement:

A cold store flat wall of area $20.0\text{ m}^2$ consists of a $100\text{ mm}$ thick cork insulation layer ($k = 0.04\text{ W/(m}\cdot\text{K)}$). The inside wall surface is maintained at $-10.0^\circ\text{C}$ and the outside surface is at $+30.0^\circ\text{C}$. The rate of heat conduction through the wall in watts is ________ (answer in integer).

Answer Key:

320

Step-by-Step Solution & Explanation

Using Fourier's 1D conduction law: $q = \frac{k A \Delta T}{L}$ Given: • $k = 0.04\text{ W/(m}\cdot\text{K)}$ • $A = 20.0\text{ m}^2$ • $\Delta T = 30.0 - (-10.0) = 40.0\text{ K}$ • $L = 0.10\text{ m}$ $q = \frac{0.04 \times 20.0 \times 40.0}{0.10} = \frac{32.0}{0.10} = 320\text{ W}$
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