Water is the working fluid used in Kota thermal power plant for generating electricity. Coal is combusted for generating heat as per reaction, `C + O_(2) rarr CO_(2). 0.01 %` of the released `CO_(2)` gas is absorbed in water and gets coverted to weak acid, `H_(2)SO_(3)` which dissociated to give `H^(+)` as `H_(2)CO_(3) rarr 2H^(+) + CO_(3)^(2-)`. The percentage dissociattion of acid is 5 %. Assume no ionisation of water. From this information answer the questions. if in a certain application `[H^(+)]` concentration can maximum be `10^(-5)M`, then,
(P) Calculate maximum moles of `H^(+)(x)` and `CO_(3)^(2-)(y)` in the water water if `10^(9)` litres of `H_(2)O` is used
(Q) Calculate maximum moles of carbon `(z)` which can be burnt so that water remains fit to be used
Hence, write the value of `(xy^(2)//z)`

Answer

250