The equation is $4$FeS$($s$)+7$O$2($g$)->2$Fe$2$O$3($s$)+4$SO$2($g$),$ the release is $251$ kJ

a$)$ Determine the molar enthalpy change for the oxygen gas

b$)$ Re$-$Balance your chemical reaction to use the molar enthalpy change of oxygen gas $($ as a reactant or product, whichever is appropriate$)($ this also means use your answer from a to solve this one$)$

c$)$ Determine the enthalpy change that would result if $85\mathrm{.}2$ L of O$2$ reacted in excess of the other reagent at STP $($standard temperature and pressure$)$

d$)$ What is the theoretical yield of energy that would result from $3\mathrm{.}840$x$10^22$ molecules of O$2$ reacting with $31\mathrm{.}24$ grams of the other $($non$-$oxygen$)$ reactant? also provide the limiting reagent

e$)$ The reaction happens in a styrofoam cup calorimeter and heats up a cup of water sitting on top. $150\mathrm{.}0$ mL of water has a temperature increase of $22^$ C$.$ What is the experimental heat energy change, q$?($ the specific heat capacity for water is $4\mathrm{.}184$ J$/$g$^$ C$)$