Chemistry - Stoichiometry Question with Solution | TestHub

Calcium hypochlorite, $\mathrm{Ca}(\mathrm{OCl}{)}_2$, is a chemical product that can be used to kill bacteria in water supplies. It can be prepared in the following sequence of reactions.

130.5 g of manganese dioxide is reacted with excess hydrochloric acid.

Reaction 1:

$$\mathrm{Mn}{\mathrm{O}}_2(\mathrm{s})+4\mathrm{HCl}⟶\mathrm{MnC}{\mathrm{l}}_2(\mathrm{s})+2{\mathrm{H}}_2\mathrm{O}+\mathrm{C}{\mathrm{l}}_2(\mathrm{g})$$

The $\mathrm{C}{\mathrm{l}}_2$ from the above reaction is absorbed in 148 g of $\mathrm{Ca}(\mathrm{OH}{)}_2$.

Reaction 2:

$$2\mathrm{C}{\mathrm{l}}_2(\mathrm{g})+2\mathrm{Ca}(\mathrm{OH}{)}_2(\mathrm{s})⟶\mathrm{CaC}{\mathrm{l}}_2(\mathrm{s})+\mathrm{Ca}(\mathrm{OCl}{)}_2(\mathrm{s})+2{\mathrm{H}}_2\mathrm{O}$$

The solid products formed are dissolved in $1.000\times 10^3\mathrm{L}$ of water.

$[\mathrm{Mn}=55g/mol;\mathrm{Cl}=35.5g/mol]$

The anti-bacterial effect depends on the concentration of $\mathrm{OC}{\mathrm{l}}^{-}$ ion. Assuming that the $\mathrm{OC}{\mathrm{l}}^{-}$ does not react with the water, calculate the concentration of $\mathrm{OC}{\mathrm{l}}^{-}$ (in $\mathrm{mol}{\mathrm{L}}^{-1}$) in the solution formed above and represent the answer in scientific notation as $a\times 10^{-b}$ and report the value of $(a+b)$ as the answer.