Answer
$6.46\times10^{4}\,kJ$ heat is produced.
Work Step by Step
Heat= $5.56\times10^{3}\,g\times\frac{1\,mol\, nitromethane}{61.04\,g}\times\frac{-1418\,kJ}{2\,mol\, nitromethane}$
$=-6.46\times10^{4}\,kJ$
Negative sign indicates that the heat is released and can be neglected.
Heat produced= $6.46\times10^{4}\,kJ$