One gram sample of `NH_(4)NO_(3)` is decomposed in a bomb calorimeter. The temperature of the calorimeter increases by `6.12K` . The heat capacity of the system is `1.23KJ//g//deg` . What is the molar heat of decomposition for `NH_(4)NO_(3)` ?

Options

A. `-7.53 kJ//mol`
B. `-398.1 kJ//mol`
C. `-16.1 kJ//mol`
D. `-602 kJ//mol`

Answer

D

Explanation

Heat of decomposition, `DeltaE=m.s.DeltaT`
`=1xx1.23xx6.12=7.5276 kJ`.
Molar heat of decompostion for `NH_4NO_3`
`=7.5276xx80=602.2kJ`.