Question

An exhausted Zeolite softener was regenerated by passing 150 litres of NaCl having strength of 150 g/L of NaCl. How many litres of hard water sample, having hardness of 600 ppm, can be softened using this softener?

Answer 1

Answer:

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Answer 2

Given:

volume of NaCl=$150$ L

strength$=150$ g/L of NaCl

Hardness$=600$ ppm

To Find: Number of litres of hard water

Explanation:

$150 L$ of NaCl contains$=150$×($150$g/L) of NaCl

$=22500$ g of NaCl

It can be written as

$=22500g$  × $\left(\dfrac{100}{17} \right)$ $CaCO_{3}$

$=1.932$×$10^{4}$ g $CaCO_{3}$

$=1.932$×$10^{7}$ mg $CaCO_{3}$

Assume $V$ litres of 600 ppm(600 mg/L) of water contains hardness

$=1.932$×$10^{7}$ mg $CaCO_{3}$

Number of litres of hard water

$V=\dfrac{1.932\times10^{7} }{600}$

$={3.219\times10^{7} }$ L.

Hence, the litres of hard sample required is $3.219$×$10^{4}$ L.