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NEET CHEMISTRYMedium

The heat of combustion of carbon to CO2CO_2 is -393.5 kJ/mol. The heat released upon the formation of 35.2 g of CO2CO_2 from carbon and oxygen gas is:

A

-315 kJ

B

+315 kJ

C

-630 kJ

D

-3.15 kJ

Step-by-Step Solution

The combustion of carbon to form CO2CO_2 is given by the equation: C(s)+O2(g)CO2(g)C(s) + O_2(g) \rightarrow CO_2(g) For 1 mole of CO2CO_2 (molar mass = 44 g/mol), the heat of combustion (ΔH\Delta H) is 393.5 kJ/mol-393.5 \text{ kJ/mol}. The number of moles in 35.2 g of CO2CO_2 is: n=Given massMolar mass=35.2 g44 g/mol=0.8 molesn = \frac{\text{Given mass}}{\text{Molar mass}} = \frac{35.2 \text{ g}}{44 \text{ g/mol}} = 0.8 \text{ moles} The heat released for the formation of 0.8 moles of CO2CO_2 is: ΔH=0.8 moles×(393.5 kJ/mol)=314.8 kJ315 kJ\Delta H = 0.8 \text{ moles} \times (-393.5 \text{ kJ/mol}) = -314.8 \text{ kJ} \approx -315 \text{ kJ} .

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