As a physicist, you put heat into a $500 g$ solid sample at the rate of $10.0 k J / m i n$ , while recording its temperature as a function of time. You plot your data and obtain the graph shown in figure. What is the latent heat of fusion for this solid in kJ/kg?

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Solution

Given: $m = 500 g = 0.500 k g$ , rate of heat transfer $= 10.0 k J / m i n$
We can see from the graph that the time taken by the solid to change into liquid is: $t = 3 - 1 = 2 m i n$
Hence, the heat given to solid in $2 m i n$ will be: $Q = 10.0 \times 2 = 20 k J$
Now, the latent heat of fusion is given by: $L = Q / m = 20 / 0.500 = 40 k J / k g$

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As a physicist, you put heat into a 500 g solid sample at the rate of 10.0 kJ/min, while recording its temperature as a function of time. You plot your data and obtain the graph shown in figure. What is the latent heat of fusion for this solid in kJ/kg?

Given: m=500g=0.500kg, rate of heat transfer =10.0kJ/minWe can see from the graph that the time taken by the solid to change into liquid is: t=3−1=2minHence, the heat given to solid in 2min will be: Q=10.0×2=20kJNow, the latent heat of fusion is given by: L=Q/m=20/0.500=40kJ/kg

As a physicist, you put heat into a $500 g$ solid sample at the rate of $10.0 k J / m i n$ , while recording its temperature as a function of time. You plot your data and obtain the graph shown in figure. What is the latent heat of fusion for this solid in kJ/kg?