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# The units of specific heat c are J/kg K, but the units of ISBN: 9780321675460 31

## Solution for problem 11DQ Chapter 17

University Physics | 13th Edition

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Problem 11DQ

The units of specific heat c are J/kg ? K, but the units of heat of fusion Lf or heat of vaporization Lv are simply J/kg. Why do the units of Lf and Lv not include a factor of (K)-1 to account for a temperature change?

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Solution 11DQ We need to define both physical quantities first to understand the situation. Specific heat is defined as the amount of heat required to raise the temperature of unit 0 mass of a substance by 1 C. When the substance has a mass of m, change of temperature of T and Q is the heat given to the substance, specific heat sis given mathematically by the equation s = Q/mT . Therefore, in SI system, the unit of specific heat comes out to be J/kg.K. On the other hand, latent heat is the heat required to change the phase of a substance, like from solid to liquid or liquid to vapor at a constant temperature. If Q is the heat supplied to a mass mof a substance of latent heat L, then Q = mL or latent heat L = Q/m. Therefore, in SI system, the unit of latent heat will be J/kg. 1 The K term is not included because phase change happens at a constant temperature. So, no temperature term is included in the expression for heat unlike specific heat.

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##### ISBN: 9780321675460

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The units of specific heat c are J/kg K, but the units of