The molecular formula of a commercial resin used for exchanging ions in water softening is "C"_8"H"_7("SO"_3)"Na"C8H7(SO3)Na molecular weight 206. The maximum uptake of "Ca"^(2+)Ca2+ ions by the resin when expressed in mole per gram resin is?

1 Answer
A08
Sep 9, 2017

Balanced equation for water softening can be written as

2"C"_8"H"_7("SO"_3)"Na"+"Ca"^(2+)->("C"_8"H"_7("SO"_3))_2"Ca"+2"Na"^(+)2C8H7(SO3)Na+Ca2+→(C8H7(SO3))2Ca+2Na+

From the equation we see that 22 moles of resin require 11 mole of "Ca"^(2+)Ca2+

Given is molecular weight of resin =206=206.
412412 g of resin require 11 mole of "Ca"^(2+)Ca2+
:. Maximum uptake of "Ca"^(2+) is =1/(412)

~~0.0024 moles/g of resin

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