$1)$ An economic feasibility study indicates that solid municipal waste can be burned to a gas of the following composition $($on a dry basis$)$ of $2\mathrm{.}0\%$ CO$,78\%$ N$2,10\%$ CO$2,$ and the remaining O$2.$ What is the enthalpy difference for this gas per kgmol between the bottom and the top of the stack if the temperature at the bottom of the stack is $150$ C and the temperature at the top is $650$ C$.$ The heat capacity equations for the gases are: $[$T in C; CP in J$/($kgmol C$.)]$ CPCO$2=8\mathrm{.}448+3\mathrm{.}05910-10$T$3$ CPO$2=0\mathrm{.}785110-3$T$20\mathrm{.}552810-7$T$4$ CPN$2=6\mathrm{.}895+0\mathrm{.}762410-3$T $0\mathrm{.}700910-5$T$3$ CPCO $=6\mathrm{.}865+0\mathrm{.}802410-3$T$40\mathrm{.}736710-7$T$5$