A water sample analysis data is given below: Ion Concentration, Mg/L Atomic Weight \Ca^{2+} 60 40 \Mg^{2+} 30 24.31 \HCO_3 400 61 The carbonate hardness (expressed as {mg} {/} {L} of {CaCO}_{3}, up to one decimal place) for the water sample is

GATE Civil Engineering (CE) 2018 Shift 1 Solved Paper

Question : 53 of 65

Marks: +1, -0

A water sample analysis data is given below:

The carbonate hardness (expressed as

{mg} {/} {L}

{CaCO}_{3}

, up to one decimal place) for the water sample is

Solution:

Carbonate hardness

=\min .

(Total hardness, alkalinity)
Total hardness

=(\;{60}/{20} × 50+\;{30}/{12.155} × 50) {mg}{/}l

{CaCO}_{3}

=150+123.406

=273.406 {mg}{/}l

{CaCO}_{3}

Alkalinity

=(\;{400}/{61} × 50) {mg}{/}l

{CaCO}_{3}

\;\; =327.868 {mg}{/}l

{CaCO}_{3}

∴ \;\; {CH} \;\; =273.4 {mg} {/}l

{CaCO}_{3}

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