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Stoichiometric Calculations

If v mL of a ...

Question

If v mL of a gaseous hydrocarbon, after explosion with excess of oxygen, showed a contraction of 2.5 v mL and a further contraction of 2v mL with caustic potash. Find the number of carbon atoms in the hydrocarbon.

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Solution

Let the number of C atoms in the hydrocarbon be n.
$C_{n} H_{2 n + 2} + \frac{3 n + 1}{2} O_{2} \to n C O_{2} + (n + 1) H_{2} O$
Volume is directly proprtional to the number of moles of gas.
First contraction in volume is due to water.
Hence, $n + 1 = 2.5$
$n = 1.5 ≃ 2$
Second contraction is due to carbon dioxide gas.
Hence, $n = 2$

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