It Can Be Shown That the Change in Entropy in Heating

It can be shown that the change in entropy in heating or cooling a sample is given by the relation ΔS = mc ln (T_F/T_i) , where m is the mass of the sample, c is the specific heat of the sample, and T_F and T_i are the final and initial temperatures, respectively. What is the change in entropy when 20.0 grams of aluminum with a specific heat of 0.900 J/g K is cooled from 60.0°C to 10.0°C?

A) +2.93 J/K
B) +2.50 J/K
C) 0.00 J/K
D) −2.93 J/K

Correct Answer:

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