As a physicist, you put heat into a 500.0 g solid sample at the rate of 10.0 kJ/

Question

As a physicist, you put heat into a 500.0 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 the figure (Figure 1) .

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

**I know the answer to this is 3.0*10^4 J/kg

Part B) What is the specific heats of the liquid? in J/(kg?K)

Part C) What is the specific heats of the solid state of the material? in J/(kg?K)

Exercise 17.38 As a physicist, you put heat into a 500.0 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 the figure (Figure 1) Figure 1 of 1 T(C) 50 F 40 F 30 F 20 10 t (min) O 2 34

Explanation / Answer

A) for latent heat of fusion use straight line

so time = (2.5-1) =1.5 min

SO Latent heat of fusion = 10*1.5/0.5 =3*10^4 j/kg

b) for specific heat of liquid

use portion of graph for t>2.5

so time = (4-2.5) = 1.5 min

Heat transferred = 10*1.5 = 15kJ

15000 = 0.5 c (40-10)

C = 1000 J/kg K

c) for solid use potion graph before the straight line

time = ( 1-0) = 1min

Heat = 10*1 = 10kJ =10000 J

10000 J = 0.5*C*(10- (-5))

C = 1333.33 j/kgK

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