Functional analysis of aldehydes and ketones

Exercise 5

One mole of an aldehyde $R-CHO$ reacts completely with dinitrophenylhydrazine to form one mole of a precipitate of dinitrophenylhydrazone: $4.40\;g$ of an aldehyde ($R-CHO$) brought $22.4\;g$ of dinitrophenylhydrazone. Search the condensed formula of this aldehyde!

Molecular formula of dinitrophenylhydrazone: $C_7H_5N_4O_4R$ Let be x the mass of the R group: $M_{hydrazone}$ $=$ $84$ $+$ $5$ $+$ $56$ $+$ $64$ $+$ $x$ $=$ $209$ $+$ $x$ Molecular formula of aldehyde $A$: $CHOR$ $M_{A}$ $=$ $12+1+16+x$$=29+x$ $n_A$ $=$ $n_{hydrazone}$ $\frac{4.40}{29+x}$ $=$ $\frac{22.4}{209+x}$ $x=15$ $R=CH_3$ $A$ is ethanal $CH_3CHO$