Question

19. An exhausted Zeolite softener was
regenerated completely by passing 40 lit
15 % NaCl.How many litre of hard water
sample having hardness 320 ppm can be
softened using this softener
a) 16025.64L
b) 33048.46L
c) 21367.52L
d) 18282.33L​

Answer 1

Answer:

18282.33L

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Answer 2

The answer is option (a) 16025.64 L.

GIVEN:

Volume of NaCl solution : 40 litres.

Mass% of NaCl = 15%

Hardness of hard water = 320 ppm.

TO FIND:

Volume of hard water that can be softened.

SOLUTION:

We can simply solve the given problem as under,

Let, V1 = volume of hard water

V2 = Volume of NaCl solution = 40 litres.

Strength of Nacl in the solution = 150 × 10^3 gL^-1

molar mass of Zeolite(CaCo3) = 58.5 g

equivalent mass of CaCo3 = 50g

To calculate Hardeness of water following formula is applied =

$h \: = \frac{eq \: of \: caco3 \times strength \: of \: nacl \: \times \: volume \: of \: nacl \: solution }{mass \: of \: caco3 \times volume \: of \: hard \: water}$

putting the values we have,

$320 \: = \frac{50 \times 150 \times 40 \times {10}^{3} }{58.5 \times v1}$

v1 = 16025.64

hence, 16025.64 litre of hard water

hence, 16025.64 litre of hard watersample can be softened using this softener.

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