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An alkane having 16 covalent bonds is the $$m^{th}$$ member of alkane homologous series. The ratio of carbon to hydrogen by weight in the $$m^{th}$$ member of alkyne homologous series is
An alkane $$\text{C}_n\text{H}_{2n+2}$$ has $$(n - 1)$$ C-C bonds and $$(2n + 2)$$ C-H bonds, i.e. $$3n + 1$$ bonds. Setting $$3n + 1 = 16$$ gives $$n = 5$$, so $$m = 5$$. The alkyne series starts with $$\text{C}_2\text{H}_2$$, so its 5th member is $$\text{C}_6\text{H}_{10}$$. The mass ratio of C to H is $$72 \colon 10 = 36 \colon 5$$.
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