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Thermodynamics: Change in entropy

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Only need to show part b.

Two equal quantities of water, each of mass m and at temperatures T_1 and T_2 are diabatically mixed together, the pressure remaining constant.

a. Show that the entropy change of the universe is:
delta(S) = 2*m*Cp*ln[(T_1+T_2)/2sqrtT_1*T_2)]

b. Show that delta(S) greater than 0 for any finite temperatures T_1 and T_2. (Hint: (a-b)^2 greater than 0 for all real a and b.)

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Solution Summary

Two equal quantities of water at different temperature are mixed, proved that change in entropy grater than zero in all cases.

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Only need to show part b.

two equal quantities of water each of mass m and at temperatures T_1 and T_2 are adiabatically mixed together, the pressure remaining constant.

a. Show that the entropy change of the universe ...

Purchase this Solution


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