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Q. Complete combustion of $0.858\, g$ of compound $X$ gives $2.63\, g$ of $CO_2$ and $1.28 \,g$ of $H_2O$. The lowest molecular mass $X$ can have

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Solution:

$\underset{\text{0.858 g}}{[CH]}+O_{2} \to \underset{\text{2.63}}{CO_{2}}+ \underset{\text{1.28}}{H_{2}O}$
% age $C=\frac{12}{44}\times \frac{2.63}{0.858}\times100$
$=83.59$
% age $H=\frac{2}{18}\times \frac{2.63}{0.858}\times100$
$=16.57$
Element $\%$ At. mass $\%$ At. mass Simplest ratio Simplest whole no. ratio
C 83.59 12 $\frac{83.59}{12}=6.97$ $\frac{6.97}{6.97}=1$ 3
H 16.57 1 $=\frac{16.57}{1}=16.57$ $\frac{16.57}{6.97}=2.37$ 7

$\therefore E.F. = C_{3}H_{7}$
$\therefore E.F.$ mass (lowest mol mass)
$=12\times 3+7\times 1=43$