Water is the working fluid used in Kota thermal power plant for generating electricity. Coal is combusted for generating heat as per reaction, $\mathrm{C}+{\mathrm{O}}_2⟶{\mathrm{CO}}_2, 0.01\mathrm{\%}$  of the released ${\mathrm{CO}}_2$ gas is absorbed in water and gets converted to weak acid, ${\mathrm{H}}_2{\mathrm{CO}}_3$ which dissociated to give ${\mathrm{H}}^{+}$as $2{\mathrm{H}}^{+}+{\mathrm{CO}}_3^{2-}2{\mathrm{H}}^{+}+{\mathrm{CO}}_3^{2-}$. The percentage dissociation of acid is 5%. Assume no ionisation of water. From this information answer the questions. If in a certain application [${\mathrm{H}}^{+}$]concentration can maximum be 10-5 M, then

(P) Calculate maximum moles of ${\mathrm{H}}^{+}$(x) and ${\mathrm{CO}}_3^{2-}$ (y) in the water if ${10}^9$ litres of${\mathrm{H}}_2\mathrm{O}$ is used.

(Q) Calculate maximum moles of carbon (z) which can be bu.mt so that water remains fit to be ed. 

Hence, write the value of $({\mathrm{xy}}^2/\mathrm{z})$.