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QJEEM22Ch7c5d: JEE Main 2022 Chemistry - Class 11 JEEM22Ch7c5d Solution: coal is burnt in a bomb calorimeter in excess of oxygen at and…

2.4 g2.4 \mathrm{~g} coal is burnt in a bomb calorimeter in excess of oxygen at 298 K298 \mathrm{~K} and 1 atm1 \mathrm{~atm} pressure. The temperature of the calorimeter rises from 298 K298 \mathrm{~K} to 300 K300 \mathrm{~K} . The enthalpy change during the combustion of coal is −x kJ mol−1-x \mathrm{~kJ} \mathrm{~mol}^{-1} . The value of xx is ___________. (Nearest Integer)

(Given : Heat capacity of bomb calorimeter 20.0 kJ K−120.0 \mathrm{~kJ} \mathrm{~K}^{-1} . Assume coal to be pure carbon)

Step-by-Step Verified Solution

Q(\mathrm{Q}( Heat evolved )=−Csystem ΔTn)=-\frac{\mathrm{C}_{\text {system }} \Delta \mathrm{T}}{\mathrm{n}}

ncoal =2.412\mathrm{n}_{\text {coal }}=\frac{2.4}{12}

Q=−20(300−298)0.2\mathrm{Q}=\frac{-20(300-298)}{0.2}

Q=−200 kJ/molQ=-200 \mathrm{~kJ} / \mathrm{mol}

x=200x=200

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