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Question: One gram sample of \(NH_{4}NO_{3}\) is decomposed in a bomb calorimeter. The temperature of the calo...

One gram sample of NH4NO3NH_{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 NH4NO3.NH_{4}NO_{3}.

A

– 7.53 kJ/mole

B

398.1kJ/mole398.1kJ/mole

C

16.1kJ/mole- 16.1kJ/mole

D

602kJ/mole- 602kJ/mole

Answer

– 7.53 kJ/mole

Explanation

Solution

Heat evolved = 1.23× 6.12

\therefore Molar heat capacity = 1.23×6.12=7.52761.23 \times 6.12 = 7.5276

Molar heat of decomposition =7.53kJ/mole= - 7.53kJ/mole