Question

Nine volumes of gaseous mixture consisting of gaseous organic compound A and just sufficient amount of oxygen required for complete combustion yielded on burning $4$ volumes of $C{O}_2$, $6$ volumes of water vapours and $2$ volumes of $N_2$ at all volumes measured at the same temperature and pressure. If the compound contains C, H and N only, the molecular formula of the compound A is :

• A. $C_2{H}_4{N}_2$
• B. $C_2{H}_6{N}_2$
• C. $C_3{H}_6{N}_2$
• D. $C_3{H}_{6}N$

Answer 1

The correct option is B $C_2{H}_6{N}_2$

As given,
$2C_x{H}_y{N}_z+7O_2\to 4C{O}_2+6H_{2}O+2N_2$
$2x=4⟹x=2$
$2y=12⟹y=6$
$2x=4⟹z=2$
Hence, the formula is $C_2{H}_6{N}_2$.