Fyrdrazine, $N_2{N}_4$ and its derivatives are widely used as rocket fuels. The mbustion of hydrazine with oxygen produces $N_2(g)$ and $H_{2}O(g).$

:$.N_{2}H{I}_1(I)+O_2(g)longrightarrow{N}_2(g)+2H_{2}O(g)$

When $1,00g$ of hydrazine is bunned in a bomb$-$calorimeter, the femperature of e calorimeter increases by $3,51C.$ If the calorimeter has a heat capacity of $5,510C,$ what is the heat of reaction for the combustion of a mole of $N_2{H}_4?$

a$)+267k\frac{g}{i}$nole

b$)-618k\frac{j}{m}$ole

c$)-267k\frac{j}{m}$ale

d$)-142k\frac{j}{m}$ole

e$)+142k\frac{j}{m}$ole