Question $4$

Compare the total annual $C{O}_2$ emissions of a coal$-$fired power plant to those of a natural gas$-$fired power plant with the same power generation capacity, assuming $(1)$ the power generation efficiency of the coal$-$fired power plant is $39\mathrm{.}12\%,$whereas the power generation efficiency of the gas$-$fired power plant is $48\mathrm{.}25\%,$

$(2)$ annually, each power plant produces $7450$ hours of electricity at its capacity of $2000MW,$

$(3)$ the heating value of the coal is $30\mathrm{.}55M$J$/$kg and the carbon content of the coal is $70\mathrm{.}83wt\%,$

$(4)$ natural gas is assumed to be the mixture of $94\mathrm{.}45$vol$\%$ of $C{H}_4$ and $5\mathrm{.}55$ vol$\%$ of $C_3{H}_8.$ The heating values of $C{H}_4$ and $C_3{H}_8$ are known to be

$50\mathrm{.}10MJ/$kg and $46\mathrm{.}36MJ/$kg respectively. $.$ The molecular weights of $C,H$ and $O$ are to be taken as $12,1$ and $16,$respectively.