Calculate the mass of CaO required to remove the hardness of `10^(6)` litre of water containing `1.62 g` of calcium bicarbonate per litre.

Options

A. `5.6 xx 10 ^(4) g `
B. `5.6 xx 10 ^(-5) g `
C. `5.6 xx 10 ^(5) g `
D. `5.6 xx 10 ^(3) g `

Answer

C

Explanation

The rection,
`Ca O + Ca ( HCO _(3)) _(2) to 2 Ca CO _(3) + H _(2) O because ` Eq. of `Ca (HCO_(3)) _(2)` present in hard water (1 litre)
`(1.62)/(162//2) = 0.02 therefore ` Eq. of CaO required to remove `Ca ( HCO _(3))` in 1 litre `= 0.02`
`therefore ` Eq. of CaO required to remove `Ca (HCO _(3)) _(2) ` in `10 ^(6) ` litre `= 0.02 xx 10 ^(6)`
`therefore `Masss of `CaO = 0.02 xx 10 ^(6) xx (56)/(2) g = 5.6 xx 10 ^(5) g`