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QPages 98-102: Q2: HC Verma: Concepts of Physics - Volume 2 Heat Transfer Pages 98-102: Q2 Solution: A liquid-nitrogen container is made of a 1 cm thick styrofoam…

A liquid-nitrogen container is made of a 1 cm thick styrofoam sheet having thermal conductivity 0.025 J s−1 m−1 �C−10.025 \text{ J s}^{-1} \text{ m}^{-1} \text{ �C}^{-1}. Liquid nitrogen at 80 K is kept in it. A total area of 0.80 m20.80 \text{ m}^2 is in contact with the liquid nitrogen. The atmospheric temperature is 300 K. Calculate the rate of heat flow from the atmosphere to the liquid nitrogen.

Step-by-Step Verified Solution

**Answer:** Rate of heat flow = 44 W. **Step-by-Step Explanation:** Given: K = 0.025 J s__ m__�C__, thickness = 1 cm = 0.01 m, A = 0.80 m_, _T = 300 _ 80 = 220 K.
ΔQΔt=KAΔTl=0.025×0.80×2200.01=44 W\frac{\Delta Q}{\Delta t} = \frac{KA\Delta T}{l} = \frac{0.025 \times 0.80 \times 220}{0.01} = 44 \text{ W}

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