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Question

Chemistry Question on Enthalpy change

2.4 g coal is burnt in a bomb calorimeter in excess of oxygen at 298 K and 1 atm pressure. The temperature of the calorimeter rises from 298 K to 300 K. The enthalpy change during the combustion of coal is -x kJ mol-1. The value of x is ______.(Nearest integer)
(Given : Heat capacity of bomb calorimeter is 20.0 kJ K-1. Assume coal to be pure carbon)

Answer

QQ(Heat evolved)=CsystemΔTn=−\frac {C_{system}ΔT}{n}

ncoal=2.412n_{coal}=\frac {2.4}{12}
ncoal=0.2n_{coal} = 0.2
Q=20(300298)0.2Q=−\frac {20(300−298)}{0.2}
Q=200Q=−200 kJ/mol
Given that, the enthalpy change during the combustion of coal is –x kJ mol–1
On comparing , we get
x=200x=200

So, the answer is 200200.