The maximum work output from two finite bodies-one at temperature T1 and the other at temperature T2 is

1
\(W_{max} = C_p \left( \sqrt {T_1} - \sqrt {T_2} \right)^2\)
2
\(W_{max} = C_p \left( \sqrt {T_1} + \sqrt {T_2} \right)^2\)
3
\(W_{max} = C_p \left( \sqrt {T_1} \sqrt {T_2} \right)^{1/2}\)
4
\(W_{max} = \frac 1 2 C_p \left( \sqrt {T_1} - \sqrt {T_2} \right)^2\)
5
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