4. The molar heat capacity at constant pressure of a compound in J/(mol K) depends on
temperature at a range of 10 K to 200 K according to the following relation
$\frac{C_{p,m}}{T}$ = -1.0380 × 10$^{-8}$ T$^4$ + 5.7041 × 10$^{-6}$ T$^3$ - 1.1263 × 10$^{-3}$ T$^2$
+ 9.0159 × 10$^{-2}$T - 6.1544 × 10$^{-1}$
At 10 K, $C_{p,m}$ equals to 2.09 J/(mol K). (a) Using Debye extrapolation, $C_{p,m}$ = aT$^3$,
compute the change of molar entropy from 0 K to 10 K (b) compute the change of
molar entropy from 0 K to 200 K. Hint: use results in point (a) and add the change of
molar entropy from 10 K to 200 K to find the answer of (b).