An aqueous solution contains $0.10\; M \;H_2S$ and $0.20\; M \; HCl$. If the equilibrium constant for the formation of $HS^-$ from $H_2S$ is $1.0 \times 10^{-7}$ and that of $S^{2-}$ from $HS^-$ ions is $1.2 \times 10^{-13}$ then the concentration of $S^{2-}$ ions in aqueous solution is :

Question

( A ) $5 \times 10^{-21}$
( B ) $3 \times 10^{-20}$
( C ) $6 \times 10^{-21}$
( D ) $5 \times 10^{-8}$