Problem $2(30$ points on $100-$point scale$)-$ A steady$-$flow combustion chamber is supplied with

CO gas at $560R$ and $16$ psia at a rate of $12\mathrm{.}5f\frac{t^3}{m}in$ and with oxygen $(O_2)$ at $537R$ and $16$ psia

at a rate of $0\mathrm{.}7lb\frac{m}{m}in.$ The combustion products leave the combustion chamber at $3600R$ and

$16$ psia. If the combustion gases consist of $C{O}_2,CO,$ and $O_2,$ determine the following:

a$)$ Verify the constant $x$ is $0\mathrm{.}9966$ by using the equilibrium constant.

b$)$ Rate of heat transfer from the combustion chamber, in $Bt\frac{u}{m}in.$

The chemical reaction is defined as follows:

$CO+0\mathrm{.}657O_{2}xC{O}_2+(1-x)CO+(0\mathrm{.}657-0\mathrm{.}5x)O_2$

PLEASE ALSO PUT THE ASSUMPTIONS AS WELL!!