For a perfectly crystalline solid C_(p.m) = aT^(3), where a is constant. If C_(p.m) is 0.42 J/K - mol at 10K, molar entropy at 10K is

For a perfectly crystalline solid C_(p.m) = aT^(3), where a is constan

1.	For a perfectly crystalline solid C_(p.m) = aT^(3), where a is constant. If C_(p.m) is 0.42 J/K - mol at 10K, molar entropy at 10K is
Answer» <P>0.42J/K -mol 0.14 J/K -mol 4.2 J/K-mol zero Solution :`DELTA S = underset(0)overset(10)int (C_(P))/(T) dT` 3))/(T) dT = [(aT^(3))/(3)]_(0)^(10) = a xx (1000)/(3)` `C_(P) = 0.42 = a xx 10^(3) rArr a= (0.42)/(10^(3))` `rArr S_(10) - S_(0) = (0.42)/(1000) xx (1000)/(3) = (0.42)/(3)` `S_(10) = 0.14` J/mol-K