(b)
[table] Element | Percentage | $\frac{Percentage}{at.wt.}$ | Simple ratio ; C | 20.0 | $\frac{20.0}{12} = 1.66$ | $\frac{1.66}{1.66} = 1$ ; H | 6.67 | $\frac{6.67}{1} = 6.67$ | $\frac{6.67}{1.66} = 4$ ; N | 46.67 | $\frac{46.67}{14} = 3.33$ | $\frac{3.33}{1.66} = 2$ ; O | 26.66 | $\frac{26.66}{16} = 1.66$ | $\frac{1.66}{1.66} = 1$ [/table]
Empirical formula$= CH_{4}N_{2}O$
Empirical formula weight
$\ \ \ \ \ \ \ \ = 12 + (4 \times 1) + (2 \times 14) + 16 = 60$
$\therefore\ \ n = \frac{mol.formula\ weight}{emp.formula\ weight}$
$\ \ \ \ \ \ \ \ \ = \frac{60}{60} = 1$
$\therefore$ Molecular formula=$CH_{4}N_{2}O$
Given compound gives biuret test.Thus, given compound is urea $\left( NH_{2} \right)_{2}CO.$