Assuming total mass to be 100 g
Mass of C = 52.93 g
=> Moles of C = [tex]52.93 g *\frac{1 mol}{12gC} =4.41 mol C[/tex]
Mass of H = 5.92 g
=> Moles of H=[tex]5.92g*\frac{1mol}{1.01g}=5.86molH[/tex]
Mass of N = 41.15 g
=>Moles of N=[tex]41.15g*\frac{1 mol}{14 g}=2.94mol N[/tex]
Simplest mole ratio of the atoms in the compound:
[tex]C_{\frac{4.41mol}{2.94mol} } H_{\frac{5.86mol}{2.94mol} }N_{\frac{2.94mol}{2.94mol} } =C_{1.5}H_{2}N_{1} or(C_{1.5}H_{2}N_{1})_{2}=>C_{3}H_{4}N_{2}[/tex]
Empirical formula mass=[tex](3*12)+(4*1.01)+(2*14)=68.04g[/tex]
Multiple n = [tex]\frac{204.2}{68.04}=3[/tex]
Molecular formula= [tex](Empirical formula)_{n} =(C_{3}H_{4}N_{2})_{3}=C_{9}H_{12}N_{6}[/tex]