The methanol synthesis reaction is being run at $800C$ in a continuousflow reactor.

$CO(g)+2H_2(g)C{H}_{3}OH(g)$

The following data are taken from Ex$.4-6$ in SV&A$.$

$H_0=H_{298}=-200,660-(-110,525)=-90,135J$

$\backslash$table$[[i,v_i,{10}^{3}B,{10}^{6}C,{10}^{-5}D,],[C{H}_{3}OH,1,2\mathrm{.}211,12\mathrm{.}216,-3\mathrm{.}450,0\mathrm{.}000],[CO,-1,3\mathrm{.}376,0\mathrm{.}557,0\mathrm{.}000,-0\mathrm{.}031],[H_2,-2,3\mathrm{.}249,0\mathrm{.}422,0\mathrm{.}000,0\mathrm{.}083]]$

Gases and $H_2)$ are fed to the reactor $(S1)$ at $800C,$ and the reactor is kept at $800C$ by adding or removing heat as necessary. The product from the reactor $(S2)$ is hot methanol vapor at $800C,$ which is fed to a chiller $($condenser$)$ that discharges liquid methanol at $30C(S3)$ and $1$ bar. Calculate the heat duty for the reactor and the heat duty for the condenser.