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5 mL of 8 N HNO(3), 4.8 mL of 5 N HCl, a...

`5 mL` of `8 N HNO_(3), 4.8 mL` of `5 N HCl`, and a certain volume of `17 m H_(2) SO_(4)` are mixed together and made upto `2 L`. `30 mL` of the acid mixture exactly neutralises `42.9 mL` of `Na_(2 CO_(3)` solution containing `0.1 g` of `Na_(2) CO_(3). 10 H_(2) O` in `10 mL` of water. Calculate:
The amount (in g) of the sulphate ions in the solution.

Text Solution

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mEq of acid mixture
`= mEq of HNO_(3) + mEq of HCl + mEq of H_(2) SO_(4)`
Let `N` be the normality of the acid mixture and `V mL` be the volume of `H_(2) SO_(4)` added.
`N xx 200 = 8 xx 5 xx 4.8 + 2 (17) xx V`
Now find `N` of carbonate as follows:
`implies N = ("Strength")/(Ew)`
Strength `= 0.1//10 mL -= 10 g L^(-1)`
`Ew = Mw//2 = 286//2 = 143`
(`Mw = 106 + 180`, adding the mass of `10 H_(2) O`)
`N = (10)/(143)`
Now mEq of acid mixture = mEq of `Na_(2)CO_(3)` solution `N xx 30 = 42.9 xx (10)/(143)`
`implies N = 0.1 =` Normality of acid mixture
Substituting in equation (i) we get:
`0.1 xx 2000 = (40 + 24 + 34) V_(mL)`
For grams of sulphate ions:
mEq of `H_(2) SO_(4) = 2 xx 17 xx V = 136` `(VmL = 4)`
Now, mEq of `SO_(4)^(2-) = mEq of H_(2) SO_(4)`
`("Weight")/(E_(SO_(4)^(2-))) xx 1000 = 136`
`("Weight")/(96//2) xx 1000 = 136`
Weight = Grams of `SO_(4)^(2-)` ions `= 6.53 g`
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