Essentials of Materials Science and Engineering, SI Edition
Essentials of Materials Science and Engineering, SI Edition
4th Edition
ISBN: 9781337672078
Author: ASKELAND, Donald R., WRIGHT, Wendelin J.
Publisher: Cengage Learning
Question
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Chapter 9, Problem 9.14P
Interpretation Introduction

Interpretation:

The heats of fusion should be converted from units of J/cm3 to kJ/kg.

Concept introduction:

The heat of fusion is a change in its enthalpy which results from the heat in the form of energy to change the certain state of a substance from solid to liquid.

The heat of fusion is also called a latent heat of fusion.

The heat of fusion is endothermic process and change in enthalpy is positive.

Expert Solution & Answer
Check Mark

Answer to Problem 9.14P

Conversion of Ga from J/cm3 to kJ/kg is 82.656.

Conversion of Bi from J/cm3 to kJ/kg is 55.363.

Conversion of Pb from J/cm3 to kJ/kg is 20.862.

Conversion of Ag from J/cm3 to kJ/kg is 92.

Conversion of Cu from J/cm3 to kJ/kg is 92.

Conversion of Ni from J/cm3 to kJ/kg is 309.6.

Conversion of Fe from J/cm3 to kJ/kg is 220.11.

Explanation of Solution

Given Information:

MaterialFreezing Temp (Tm)Degree CelsiusThe heat of fusion (ΔHf)J/cm3Solid-liquid interfacial energy (σSL)J/cm3Typical under cooling for homogenous nucleation (ΔT) Degree Celsius
Ga30488  56×10776
Bi271543  54×10790
Pb327237  33×10780
Ag962965  126×107250
Cu10851628  177×107236
Ni14532756  255×107480
Fe15381737  204×107420
NaCl801169
CsCl645152
H2O040

The equation for the heat of fusion is as follows:

  ΔHf=(ΔHf)ς ................................. (1)

Substitute value of (ΔHf)Ga from table and ςGa equal to 5.904 g/cm3 in equation (1);

  ΔHf=4885.904=488J/cm3× 10 -3 kJ/cm3 J/cm35.904× 10 -3 kg/cm3 g/cm3=82.656kJ/kg

Substitute value of (ΔHf)Bi from table and ςBi equal to 9.808 g/cm3 in equation (1);

  (ΔHf)=5439.808=543J/cm3× 10 -3 kJ/cm3 J/cm39.808×10-3 kg/cm3 g/cm3=55.363kJ/kg

Substitute value of (ΔHf)Pb from table and ςPb equal to 11.36 g/cm3 in equation (1);

  (ΔHf)=23711.36=237J/cm3× 10 -3 kJ/cm3 J/cm311.36×10-3 kg/cm3 g/cm3=20.862 kJ/kg

Substitute value of (ΔHf)Ag from table and ςAg equal to 10.49 g/cm3 in equation (1);

  (ΔHf)=96510.49=965 J/cm3× 10 -3  kJ/cm3 J/cm310.49×10-3 kg/cm3 g/cm3=92 kJ/kg

Substitute value of (ΔHf)Cu from table and ςCu equal to 8.93 g/cm3 in equation (1);

  (ΔHf)=16288.93=1628J/cm3×10 -3kJ/cm3J/cm38.93×10-3kg/cm3g/cm3=92kJ/kg

Substitute value of (ΔHf)Ni from table and ςNi equal to 8.902 g/cm3 in equation (1);

  (ΔHf)=27568.902=2756 J/cm3× 10 -3 kJ/cm3 J/cm38.902×10-3 kg/cm3 g/cm3=309.6kJ/kg

Substitute value of (ΔHf)Fe from table and ςFe equal to 7.87 g/cm3 in equation (1);

  (ΔHf)=17377.87=1737J/cm3× 10 -3 kJ/cm3 J/cm37.87×10-3 kg/cm3 g/cm3=220.71kJ/kg

All the values of densities of the materials from the density of materials from appendix A.

Conclusion

Thus, using the equation of heat of fusion and values of densities the heat of the materials can be converted from J/cm3 to kJ/kg.

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Chapter 9 Solutions

Essentials of Materials Science and Engineering, SI Edition

Ch. 9 - Prob. 9.11PCh. 9 - Prob. 9.12PCh. 9 - Prob. 9.13PCh. 9 - Prob. 9.14PCh. 9 - Prob. 9.15PCh. 9 - Prob. 9.16PCh. 9 - Prob. 9.17PCh. 9 - Prob. 9.18PCh. 9 - Prob. 9.19PCh. 9 - Prob. 9.20PCh. 9 - Prob. 9.21PCh. 9 - Prob. 9.22PCh. 9 - Prob. 9.23PCh. 9 - Prob. 9.24PCh. 9 - Prob. 9.25PCh. 9 - Prob. 9.26PCh. 9 - Prob. 9.27PCh. 9 - Prob. 9.28PCh. 9 - Prob. 9.29PCh. 9 - Prob. 9.30PCh. 9 - Prob. 9.31PCh. 9 - Prob. 9.32PCh. 9 - Prob. 9.33PCh. 9 - Prob. 9.34PCh. 9 - Prob. 9.35PCh. 9 - Prob. 9.36PCh. 9 - Prob. 9.37PCh. 9 - Prob. 9.38PCh. 9 - Prob. 9.39PCh. 9 - Prob. 9.40PCh. 9 - Prob. 9.41PCh. 9 - Prob. 9.42PCh. 9 - Prob. 9.43PCh. 9 - Prob. 9.44PCh. 9 - Prob. 9.45PCh. 9 - Prob. 9.46PCh. 9 - Prob. 9.47PCh. 9 - Prob. 9.48PCh. 9 - Prob. 9.49PCh. 9 - Prob. 9.50PCh. 9 - Prob. 9.51PCh. 9 - Prob. 9.52PCh. 9 - Prob. 9.53PCh. 9 - Prob. 9.54PCh. 9 - Prob. 9.55PCh. 9 - Prob. 9.56PCh. 9 - Prob. 9.57PCh. 9 - Prob. 9.58PCh. 9 - Prob. 9.59PCh. 9 - Prob. 9.60PCh. 9 - Prob. 9.61PCh. 9 - Prob. 9.62PCh. 9 - Prob. 9.63PCh. 9 - Prob. 9.64PCh. 9 - Prob. 9.65PCh. 9 - Prob. 9.66PCh. 9 - Prob. 9.67PCh. 9 - Prob. 9.68PCh. 9 - Prob. 9.69PCh. 9 - Prob. 9.70PCh. 9 - Prob. 9.71PCh. 9 - Prob. 9.72PCh. 9 - Prob. 9.73PCh. 9 - Prob. 9.74PCh. 9 - Prob. 9.75PCh. 9 - Prob. 9.76PCh. 9 - Prob. 9.77PCh. 9 - Prob. 9.78PCh. 9 - Prob. 9.79PCh. 9 - Prob. 9.80PCh. 9 - Prob. 9.81PCh. 9 - Prob. 9.82PCh. 9 - Prob. 9.83PCh. 9 - Prob. 9.84PCh. 9 - Prob. 9.85PCh. 9 - Prob. 9.86PCh. 9 - Prob. 9.87PCh. 9 - Prob. 9.88PCh. 9 - Prob. 9.89PCh. 9 - Prob. 9.90PCh. 9 - Prob. 9.91PCh. 9 - Prob. 9.92PCh. 9 - Prob. 9.93PCh. 9 - Prob. 9.94PCh. 9 - Prob. 9.95PCh. 9 - Prob. 9.96PCh. 9 - Prob. 9.97PCh. 9 - Prob. 9.98PCh. 9 - Prob. 9.99PCh. 9 - Prob. 9.100PCh. 9 - Prob. 9.101PCh. 9 - Prob. 9.102PCh. 9 - Prob. 9.103PCh. 9 - Prob. 9.104PCh. 9 - Prob. 9.105PCh. 9 - Prob. 9.106PCh. 9 - Prob. 9.107PCh. 9 - Prob. 9.108PCh. 9 - Prob. 9.109PCh. 9 - Prob. 9.110PCh. 9 - Prob. 9.111DPCh. 9 - Prob. 9.112DPCh. 9 - Prob. 9.113DPCh. 9 - Prob. 9.114DPCh. 9 - Prob. 9.115DPCh. 9 - Prob. 9.116CPCh. 9 - Prob. 9.117CPCh. 9 - Prob. 9.118CPCh. 9 - Prob. K9.1KPCh. 9 - Prob. K9.2KP
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