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One end of 0.5 m long metal rod is in st...

One end of 0.5 m long metal rod is in steam at `100^@C` and the other end is put in ice at `0^@C`. If ice melts at the rate of 10 g/min, calculate the thermal conductivity of the metal. Take, cross sectional area of `rod = 2pi cm^2` . Latent ice of heat = 80 cal/g

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To solve the problem, we need to calculate the thermal conductivity (K) of the metal rod using the heat transfer principles. Here’s a step-by-step solution: ### Step 1: Understand the setup We have a metal rod of length \( L = 0.5 \, m = 50 \, cm \) with one end in steam at \( 100^\circ C \) and the other end in ice at \( 0^\circ C \). ### Step 2: Calculate the temperature difference The temperature difference (\( \Delta T \)) between the two ends of the rod is: \[ ...
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