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Water sample softened by zeolite container

A zeolite softener was completely exhausted and then regenerated by passing 150 litres of NaCl solution, containing 50g / litre of sodium chloride. How many litres of water sample of hardness 450 ppm can be softened by this zeolite container?

Mumbai University > First Year Engineering > Sem1 > Applied Chemistry 1

Marks: 4M

Year: Dec12, May13, Dec13, May12

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Here, let the quantity of the water sample by x litre

Now, the hardness of the water sample is 450 ppm

Hardness $= concentration \ \ of \ \ NaCl * litres \\ of NaCl = 50000*150 \\ = 7500000 * 50/58.3 \ \ mg \ \ of \ \ CaCO_3 \\ = 643.2*105 mg$

If 1 litre of water = 450 mgs of CaCO3 equivalent hardness

X litres of water = 643.2*105 mg of CaCO3 equivalent hardness

X=643.2*105/450= 1.429333 * 105 litre

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