Heat of combustion of carbon is –96 k.cals. When some quantity of carbon is burnt in oxygen, 48 k.cals of heat is liberated. What is the volume (in lits) of $O_{2}$ at STP reacted with this carbon

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22.4

11.2

answer is C.

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Detailed Solution

The reaction for the combustion of carbon is given below:

$C + O_{2} \to {CO}_{2}$

The enthalpy for this reaction is -96 k.cal when one mole of oxygen is used.

For one mole the volume at STP will be 22.4 L.

When 0.5 moles of oxygen is used then 48 k.cal of heat is released.

So, the volume at STP will be:

$Volume = 22.4 \times 0.5 = 11.2 L$

Therefore, the correct option is C.

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