Help with physics please Problem in image attached As a physicist, you put heat

Question

Help with physics please Problem in image attached

As a physicist, you put heat into a 528.5-g solid sample at the rate of 12.5 kJ/min, while recording its temperature as a function of time. You plot your data and obtain the graph shown in the figure below.

a) What is the latent heat of fusion for this solid?

As a physicist, you put heat into a 528.5-g solid sample at the rate of 12.5 kJ/min, while recording its temperature as a function of time. You plot your data and obtain the graph shown in the figure below T(C) T(c) 50 40 P 30 20 10 t (min) 0 (a) What is the latent heat of fusion for this solid? J/kg (b) What are the specific heats of the liquid and solid states of the material? Cliquid Csolid J/kg K J/kg K

Explanation / Answer

Here,

mass ,m = 0.5285 Kg

rate of energy supplied , E = 12.5 KJ/min

a) for the latent heat

it is the heat supplied when the temperature was constant

Latent heat = 1.5 * 12.5 *10^3/.5285 J/kg

Latent heat = 3.55 *10^4 J/Kg

the latent heat of fusion is 3.55 *10^4 J/Kg

part b)

Now ,for the specific heat of liquid

for the liquid

Cliquid = E* time/(change in temperature * mass)

Cliquid = 12500 * 1.5/(30 * 0.5285)

Cliquid = 1182.59 J/(kg.degree C)

for the solid

Csolid = E* time/(change in temperature * mass)

Csolid = 12500 * 1/(15 * 0.5285)

Csolid = 1576 J/(kg. K)

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