Reaction of alcohols with sodium

Exercise 1

1) What quantity (moles) of hydrogen is produced per mole of $OH $ function reacting with excess sodium? 2) $6.0\;g$ propan-2-ol $A$ are treated with an excess of sodium. What volume of hydrogen is it collected at $23^oC$ and $720 mm\; Hg$ ?

1) $ROH$ $+$ $Na$ $\rightarrow$ $RONa$ $+$ $\frac{1}{2}H_2$ One mole $OH$ provides one half-mole of $H_2$ 2) $n_A$ $=$ $\frac{6.0}{36+8+16}$ $=$ $0.10$ $n_{H_2}$ $=$ $0.050$ $P$ $=$ $\frac{720}{765}\; atm$ $T$ $=$ $273.15+27$ $=$ $300.15\; K$ $V$ $=$ $\frac{n_{H_2}\cdot 0.083 \cdot T}{P}$ $=$ $1.32\; L$