A biofuel derived from a fat is made by transesterification of the raw triacylglyceride $($TAG$)$ in the fat with methanol. The triacylglyceride has a heat of combustion of $-34,108k\frac{J}{m}$ole and the methyl ester product has a heat of combustion of $-11,690k\frac{J}{m}$ole. Determine the heat of reaction per mole of TAG. Dpes this reaction absorb or release heat?

At what rate would oxygen concentration in the gas within the international space station decrease if the system for the electrolytic generation of oxygen failed? Give your answer as mole fraction per day. How many days would it take after the failure for the oxygen in the ISS to fall to $15\%$ assuming it starts at $21\%?$

A zeolite bed is used to adsorb carbon dioxide from the air in a spacecraft. The astronauts in the spacecraft expel $5kg$ per day of $C{O}_2.$ If the desired steady state concentration of $C{O}_2$ in the cabin air is $0\mathrm{.}1\%,$ determine the required flow rate of air through the removal unit in liters per hour. Assume that the air leaving the zeolite bed has negligible $C{O}_2,$ and that the unit runs for $11$ hours then flow is automatically shut down for $1h$ while the adsorbed $C{O}_2$ is purged overboard.

What radiator surface area is required to dump $110kW$ of heat into deep space assuming that it operates at $-30C$ with an emmisivity of $0\mathrm{.}95?$