In the design of a furnace for industrial boiler, methane at $25C$ is burned completely with $20\%$ excess air,

also at $25C.$ The feed rate of methane is $450$kmo$\frac{l}{h}.$ The hot combustion gases leave the furnace at $300C$

and are discharged to atmosphere. The heat transferred from the furnace $(Q)$ is used to convert boiler

feedwater at $25C$ into superheated steam at $17$ bar and $250C.$ The heat capacities of $C{H}_4,C{O}_2,H_{2}O($v$),O_2$

and $N_2$ are $0\mathrm{.}0431,0\mathrm{.}0423,0\mathrm{.}0343,0\mathrm{.}0312$ and $0\mathrm{.}0297k\frac{J}{m}$olK, respectively. Calculate $Q$ and rate of steam

production in the boiler $(k\frac{g}{h}).$ The heat of combustion of methane is $-890\mathrm{.}36k\frac{J}{m}ol.$ The enthalpies of

steam $(\frac{17}{b}ar,250C)$ and water $(25C)$ are $2914$ and $105k\frac{J}{k}g,$ respectively.