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

Molecular weight of `NH_(4)NO_(3)= 80`
Heat evolved = `1.23 xx 6.12`
`therefore` Molar heat capacity `=1.23 xx 6.12 xx 80= -602kJ`/mol