ThermodynamicsHard
Question
Assuming ideal gas behaviour, the ΔS for the isothermal mixing of 0.8 mole N2 and 0.2 mole of O2 is (ln 2 = 0.7, ln 10 = 2.3)
Options
A.+0.96 cal/K
B.+0.32 cal/K
C.−0.96 cal/K
D.−0.32 cal/K
Solution
$\Delta S = - R\left\lbrack n_{1}.\ln x_{1} + n_{2}.\ln x_{2} \right\rbrack$
$= - R\left\lbrack 0.8 \times \ln 0.8 + 0.2 \times \ln 0.2 \right\rbrack = + 0.96\text{ Cal/K}$
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