Question

Two initially separated objects, make thermal contact, m_1, c_1 and T_1 are respectively the mass, specific heat and temperature of the first object and m_2, c_2 and T_2 are respectively the corresponding of the second object. The initial temperatures are T_20 <T_10. While body 1 slowly cools, 2 heats up slowly.

a) Calculate T_2 (T_1)

b) Find the change in deltropy entropy as a function of T_1

c) show that deltaS is a maximum when both bodies reach thermal equilibrium

Answer 1

Heat Taken b T2 Heat iven b T. (T- Tez) M2 T2 - m,C, (Tez T). m, Teg m, T - mi Ci Teg + m, ,T m CT + m Tee - mi C, Teg ) Block Enpopj ot char in mi C hTee Ti and m2 C Tee T2 Enaoty change in Total Tez m, C, h/Tee + m n Ti

mi c, n/Ta2 Tee ( dAS= Tee Ti dAs +m C Teel -Ta Tel Ti MICI d Tee TeeT T2 m2 C2Tee Tez Tee YM Tet Te? dTeg miC m Tee)2 is Maximum 4S Hen ce dT2
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