A $1,200$ MW coal$-$fired power plant operates at an overall thermal efficiency of $37\%,$ burning

anthracite coal with an average heat value of $30\frac{MJ}{kg}.$ According to the results of elemental analysis of

the coal samples, the carbon content of anthracite is $85\mathrm{.}53\%,$ the oxygen content is $6\mathrm{.}53\%,$ the nitrogen

content is $1\mathrm{.}98\%,$ and the sulfur content is $0\mathrm{.}44\%.$ Calculate:

a$)$ The heat emitted to the environment $(\frac{\text{B}\text{t}\text{u}}{sec}$