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 = 1.9 kg and changing temperature from T1 = 22.9°C to T2 = (22.9+10)°C. The specific heat c of water is 1,000 cal/kg/K.

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter18: Heat Engines, Entropy, And The Second Law Of Thermodynamics
Section: Chapter Questions
Problem 10OQ: Assume a sample of an ideal gas is at room temperature. What action will necessarily make the...
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 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 = 1.9 kg and changing temperature from T1 = 22.9°C to T2 = (22.9+10)°C. The specific heat c of water is 1,000 cal/kg/K. 

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