Elementary analysis of carboxylic acids

Exercise 2

    

$4.40\;g$ of a branched aliphatic carboxylic acid are dissolved in $400\;mL$ of water. $20\;mL$ of this solution consume $25.0\;mL\;NaOH\;0.1\frac{mol}{L}$ by titration. Calculate the molecular formula of the acid. Find the condensed formula and the name of this acid.

1) $20\; mL$ contain $\frac{20\cdot 4,40}{400}$ = $0,220\; g$ acid At the equivalence point of the titration: $n_{acid}$ $= $ $n_{NaOH}$ $=$ $0,1\cdot 0,025$ $=$ $0,0025$ $M_{acid}$ $=$ $\frac{0,220}{0,0025}$ $ =$ $ 88 \frac{g}{mol}$ General formula: $C_nH_{2n}O_2$ $12n$ $+$ $2n$ $+$ $32$ $=$ $88$ $n=4$ Molecular formula: $C_4H_8O_2$ 2) $CH_3CH(CH_3)COOH$ methylpropanoic acid