1 gram sample of NH4NO3 is decomposed in a bomb calorimeter. The temperature of the calorimeter increases by 6.12 K. The heat capacity of the system is 1.23 kJ/g-deg. What is the molar heat of decomposition for NH4NO3?
A
-7.53 kJ/mol
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B
-398.1 kJ/mol
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C
-16.1 kJ/mol
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D
602 kJ/mol
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Solution
The correct option is A 602 kJ/mol The expression for the heat evolved is q=mSΔT
When 1g of ammonium nitrate decomposes, the heat evolved is q=1×1.23×6.12
When 1 mole of ammonium nitrate decomposes, the heat evolved is q=1×1.23×6.12×80=602.21kJ/mol