Reaction of alcohols with sodium

Exercise 2

    

1) What quantity (moles) of hydrogen is produced per mole of $OH $ function reacting with excess sodium? 2) An aliphatic mono-alcohol $A$ has a mass density of $0.82 \frac{kg}{L}$ . if $11.5\; mL$ of $A$ react with an excess of sodium, $1.40\; L\; H_2$ (STP) are collected. Find the molecular formula of $A$ !

1) One mole $OH$ provides one half-mole $H_2$ 2) $m_A$ $=$ $0.82\cdot 11.5$ $=$ $9.43\; g$ $n_{H_2}$ $=$ $\frac{1.40}{22.4}$ $=$ $0.0635\; mol$ 2 mole $A$ give one mole $H_2$ $n_A$ $=$ $2\cdot 0.0635$ $=$ $0.127\; mol$ $M_A$ $=$ $\frac{m_A}{n_A}$ $=$ $74\; \frac{g}{mol}$ General formula of $A$: $C_nH_{2n+2}O$ $12n$ $+$ $2n$ $+$ $2$ $+$ $16$ $=$ $74$ so: $n=4$ Molecular formula of $A$: $C_4H_9OH$