Question

Determine the latent heat of fusion of mercury using the following calorimeter data: 1 kg of...

Determine the latent heat of fusion of mercury using the following calorimeter data: 1 kg of solid mercury (1) at its melting point of -39 \deg C is placed in a 0.62 kg aluminum (2) calorimeter with 0.4 kg of water (3) at 12.8 \deg C, the resulting equilibrium temperature is 5.06 \deg C.

a. Write out in English the process that this system will undergo.

b. Write out all givens using the assignments above (Mercury = 1, Aluminum = 2, and water = 3)

c. Determined the latent heat of fusion for mercury by setting up your simulation statement.

Homework Answers

Answer #1

given

specific heat of Hg, c1 =138 J/kgoC

specific heat of aluminum, c2 = 900 J/kgoC

specific heat of water, c3 = 4186 J/kgoC

mass of the solid Hg is m1 = 1 kg

mass of the aluminum container is m2 = 0.62 kg

mass of the water is m3 = 0.4 kg

temperature of Hg is t1 = - 39oC

temperature of aluminum + water is t2 = 12.8oC

resultant temperature, t = 5.06oC

according to calorimetry

m1 L +  m1 c1 ( t - t1 ) = m3 c3 ( t2 - t ) +  m2 c2 ( t2 - t )

1 x L + 1 x 138 ( 5.06 + 39 ) = ( 0.4 ) ( 4186 ) ( 12.8 - 5.06 ) + ( 0.620 ) ( 900 ) ( 12.8 - 5.06 )

L + 6.08 x 103 = 1.3 x 104 + 4.32 x 103

L = ( 1.3 x 104 + 4.32 x 103 ) - 6.08 x 103

L = 1.124 x 104 J/kg

L = 11.24 kJ/kg

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