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BingoMan
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Homework Statement
A mass of water at T1 is isobarically and adiabatically mixed with an equal mass of water at T2. Show that the entropy change in the universe is 2*m*Cp*ln[(T1 + T2)/(2*SQRT(T1*T2))]
Homework Equations
I'm assuming
dS = dq/T
q = m Cp dT
The Attempt at a Solution
At the very beginning I was just using q = cpdT and getting total entropy = to m Cp ln(T2/T1) but that might be because that takes the process as reversible and this is an irreversible function
Next, I tried to find the equilibrium temperature by setting q1(using T1 and Tf) and q2 (using T2 and Tf) = 0 but I don't believe that is true and I couldn't figure out a way to get the equation given in the question.
It seems like it would be simple but I must be missing something.
Please help
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