a$)(10$ points$)$ Calculate the heat required to raise $50kg$ of solid sodium carbonate $(N{a}_{2}C{O}_3)$ from $10C$ to $50C$ at $1$ atm using a heat capacity estimated by Kopp's rule.

b$)(10$ points$)$ Ten kmol$/$min of carbon monoxide is cooled from $200C$ to $100C.$ Calculate the required heat removal rate $($in $kW)$ using specific enthalpies from Table B$8.$

c$)(10$ points$)$ A gas mixture contains $40\mathrm{.}0$ mole $\%H_2($HHV $=\{$:$143\frac{kJ}{g})$ and $60\mathrm{.}0$ mole $\%$