Consider two subsystems 1 and 2 containing same fluid and having same mass m, but at temperature T1 and T2 (T1 > T2) enclosed in an adiabatic enclosure separated by a partition. If the partition is removed and fluid are allowed to mix. The entropy change of the process is.

1
\(\Delta S= 2mc ~\times~ln\frac{{\frac{{T_1~-~T_2}}{{2}}}}{{\sqrt{T_1T_2}}} \)
2
\(\Delta S= 2mc ~\times~ln\frac{{\frac{{T_1~+~T_2}}{{2}}}}{{\sqrt{T_1T_2}}} \)
3
\(\Delta S= mc ~\times~ln\frac{{\frac{{T_1~+~T_2}}{{2}}}}{{\sqrt{T_1T_2}}} \)
4
\(\Delta S= 2mc~\times~ln\frac{{\sqrt{T_1T_2}}}{{\frac{{T_1+T_2}}{{2}}}}\)

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