MCQ
Two blocks of the same metal having same mass and at temperature $T_1$ and $T_2$ respectively, are brought in contact with each other and allowed to attain thermal equilibrium at constant pressure. The change in entropy, $\Delta S,$ for this process is
  • ${C_p}\,\ln \,\left[ {\frac{{{{({T_1} + {T_2})}^2}}}{{4{T_1}{T_2}}}} \right]$
  • B
    $2{C_p}\,\ln \,\left[ {\frac{{{{({T_1} + {T_2})}^{\frac{1}{2}}}}}{{{T_1}{T_2}}}} \right]$
  • C
    $2{C_p}\,\ln \,\left[ {\frac{{({T_1} + {T_2})}}{{4{T_1}{T_2}}}} \right]$
  • D
    $2{C_p}\,\ln \,\left[ {\frac{{({T_1} + {T_2})}}{{2{T_1}{T_2}}}} \right]$

Answer

Correct option: A.
${C_p}\,\ln \,\left[ {\frac{{{{({T_1} + {T_2})}^2}}}{{4{T_1}{T_2}}}} \right]$
a
$\Delta {S_{Total}}\, = \,{C_p}\ln \frac{{({T_1} + {T_2})}}{{2{T_1}}} + {C_p}\ln \frac{{({T_1} + {T_2})}}{{2{T_2}}}$

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