It Can Be Shown That the Change in Entropy in Heating

question 11

Multiple Choice

It can be shown that the change in entropy in heating or cooling a sample is given by the relation $\Delta$ S = 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 grams of aluminum with a specific heat of 0.900 J/gm K is cooled from 60.0 $^{\circ}$ C to 10.0 $^{\circ}$ C?

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