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NEET CHEMISTRYMedium

The heat of combustion of carbon to CO2\text{CO}_2 is 393.5 kJ/mol-393.5 \text{ kJ/mol}. The heat released upon the formation of 35.2 g35.2 \text{ g} of CO2\text{CO}_2 from carbon and oxygen gas is:

A

315 kJ-315 \text{ kJ}

B

+315 kJ+315 \text{ kJ}

C

630 kJ-630 \text{ kJ}

D

+630 kJ+630 \text{ kJ}

Step-by-Step Solution

The combustion of carbon to form carbon dioxide is given by the reaction: C(s)+O2(g)CO2(g);ΔH=393.5 kJ/mol\text{C(s)} + \text{O}_2\text{(g)} \rightarrow \text{CO}_2\text{(g)}; \Delta H = -393.5 \text{ kJ/mol} This means that the formation of 1 mole1 \text{ mole} of CO2\text{CO}_2 (44 g44 \text{ g}) releases 393.5 kJ393.5 \text{ kJ} of heat (or the enthalpy change is 393.5 kJ-393.5 \text{ kJ}). Number of moles in 35.2 g35.2 \text{ g} of CO2\text{CO}_2 = Given massMolar mass=35.2 g44 g/mol=0.8 mol\frac{\text{Given mass}}{\text{Molar mass}} = \frac{35.2 \text{ g}}{44 \text{ g/mol}} = 0.8 \text{ mol}. The heat released (enthalpy change) for the formation of 0.8 mol0.8 \text{ mol} of CO2\text{CO}_2 is: ΔH=0.8 mol×(393.5 kJ/mol)=314.8 kJ315 kJ\Delta H = 0.8 \text{ mol} \times (-393.5 \text{ kJ/mol}) = -314.8 \text{ kJ} \approx -315 \text{ kJ}.

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