The heat of combustion of carbon to $CO_2$ is -393.5 kJ/mol. The heat released upon the formation of 35.2 g of

Question

The heat of combustion of carbon to $CO_2$ is -393.5 kJ/mol. The heat released upon the formation of 35.2 g of $CO_2$ from carbon and oxygen gas is:

Accepted Answer

The combustion of carbon to form $CO_2$ is given by the equation:
$C(s) + O_2(g) ightarrow CO_2(g)$
For 1 mole of $CO_2$ (molar mass = 44 g/mol), the heat of combustion ($\Delta H$) is $-393.5 	ext{ kJ/mol}$.
The number of moles in 35.2 g of $CO_2$ is:
$n = \frac{	ext{Given mass}}{	ext{Molar mass}} = \frac{35.2 	ext{ g}}{44 	ext{ g/mol}} = 0.8 	ext{ moles}$
The heat released for the formation of 0.8 moles of $CO_2$ is:
$\Delta H = 0.8 	ext{ moles} 	imes (-393.5 	ext{ kJ/mol}) = -314.8 	ext{ kJ} \approx -315 	ext{ kJ}$ .

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