# A Hydrocarbon Problem

Chemistry Level pending

A mixture of $$C_{3}H_{8}$$ and $$CH_{4}$$ is taken in a vessel of unknown volume V , at a temperature T and exerts a pressure of $$320$$ mm Hg .

The gas is burnt in excess $$O_{2}$$ and all the Carbon is recovered as $$CO_{2}$$ . The $$CO_{2}$$ is found to have a pressure of $$448$$ mm Hg in a volume V at the same temperature T .

Calculate the mole fraction of $$C_{3}H_{8}$$ in the original mixture .

Assume ideal behaviour of all the gases involved

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