One gram sample of `NH_(4)NO_(3)` is decomposed in a bomb calorimeter. The temperature of the calorimeter increases by `6.23K`. The heat capacity of the system is `1.23kJ //g-deg`. The molar heat of decomposition for `NH_(4)NO_(3)` is `:`

Options

A. `-16.1kJ mol^(-1)`
B. `-7.53kJ mol^(-1)`
C. `-621.89kJ mol^(-1)`
D. `-498.1kJ mol^(-1)`

Answer

C

Explanation

Heat evolved during `1 gram` decomposition of `NH_(4)NO_(3)`
`=msDeltaT`
`=1xx1.23xx6.32`
`:. ` Heat evolved during `1 mol e` decomposition
`=1xx1.23xx6.32xx80`
`=621.89kJ mol^(-1)`