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The molecular formula of a commercial re...

The molecular formula of a commercial resin used for exchanging ions in water softening is `C_8H_7SO_3Na` (Mol. Wt. 206). What would be the maximum uptake of` Ca^(2+)` ions by the resin when expressed in mole per gram resin ?

A

`1/103`

B

`1/206`

C

`2/309`

D

`1/412`

Text Solution

Verified by Experts

The correct Answer is:
D
`Ca^(2+) + 2C_8H_7SO_3Na to Ca (C_8H_7SO_3)_2 + 2Na `
Molecular mass of `C_8H_7SO_3Na`
` = 12 xx 8 + 1 xx 7 + 32 xx 1 + 16 xx 3 + 23 xx 1 = 206`
2 moles of `C_8H_7SO_3Na` require 1 mol of `Ca^(2+)`
` 2 xx 206 g ` of `C_8H_7SO_3 Na + 1 ` mol of `Ca^(2+)`
1g of `C_8H_7SO_3Na = 1/412 ` mol
` therefore ` maximum uptake ` = 1/412 ` mol/g
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