JEE Mains · Chemistry · STD 11 - 5. Thermodynamics and thermochemistry
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
- A \({C_p}\,\ln \,\left[ {\frac{{{{({T_1} + {T_2})}^2}}}{{4{T_1}{T_2}}}} \right]\)
- 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 & Solution
Correct Answer
(A) \({C_p}\,\ln \,\left[ {\frac{{{{({T_1} + {T_2})}^2}}}{{4{T_1}{T_2}}}} \right]\)
Step-by-step Solution
Detailed explanation
\(\Delta {S_{Total}}\, = \,{C_p}\ln \frac{{({T_1} + {T_2})}}{{2{T_1}}} + {C_p}\ln \frac{{({T_1} + {T_2})}}{{2{T_2}}}\)
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