The fuel that is used for space shuttles is a mixture of hydrazine, $N_2{H}_{4(1)},$ and dinitrogen tetroxide, l$).$ When these compounds are mixed, they react instantaneously and produce enough energy to get a shuttle to the Moon. The balanced chemical equation is given below.

$2N_2{H}_4(l)+N_2{O}_4(l)3N_2(g)+4H_{2}O(g)$

Using standard enthalpies of formation, calculate the heat of reaction for this fuel.

$14$