Homework 6 Problem 4: A mass m of water is heated reversibly from temperature T1 to T2 at a constant pressure of P. In this problem, we are going to determine an expression for the change in entropy, ΔS.Assume we can heat the given water infinitesimally slowly so that the process is reversible. Therefore, heat in any infinitesimal step is given by the following: dQ = mc dT, where c is the specific heat and is constant. Part (a) Write an expression for the change in entropy ΔS for the system. Part (b) Calculate the change in entropy in cal/K for a sample of water with mass m = 1.6 kg and changing temperature from T1 = 25.6°C to T2 = (25.6+10)°C. The specific heat c of water is 1,000 cal/kg/K. ΔS = ______
Homework 6
Problem 4: A mass m of water is heated reversibly from temperature T1 to T2 at a constant pressure of P. In this problem, we are going to determine an expression for the change in entropy, ΔS.
Assume we can heat the given water infinitesimally slowly so that the process is reversible. Therefore, heat in any infinitesimal step is given by the following: dQ = mc dT, where c is the specific heat and is constant.
Part (a) Write an expression for the change in entropy ΔS for the system.
Part (b) Calculate the change in entropy in cal/K for a sample of water with mass m = 1.6 kg and changing temperature from T1 = 25.6°C to T2 = (25.6+10)°C. The specific heat c of water is 1,000 cal/kg/K.
ΔS = ______
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