`A` chloride mixture is prepared by grinding together pure `BaCl_(2).2H_(2)O, KCl` and `NaCl`. What is the smallest and largest volume of `0.15 M AgNO_(3)` solution that may be used for complete precipitation of chloride from a `0.3 g` sample of the mixture which may contain any one or all of the constituents ?

Answer

`16.38mL,34.18L`

Explanation

Smallest volume of `AgNO_(3)` would be required when the entire mass is due to highest molecular weight constituent.
Hence, for smallest volume, the whole mass should be of `BaCl_(2). 2H_(2)O`
`m` mol of `BaCl_(2)2H_(2)O=(0.3)/(244)xx1000=1.229m` mol `m` mol of `AgNO_(3)`required `=2xx1.229 = 2.458`
Volume of `AgNO_(3)` required `=(2.458)/(0.15)=16.38mL`
Largest volume of `AgNO_(3)` would be required when entire mass is due to lowest molecular weight constitute, i.e., `NaCl`.
`m` mol of `NaCl = (0.3)/(58.5) xx1000 = 5.128 = m` mol of `AgNO_(3)` required
implies Volume of `AgNO_(3)` required `=(5.128)/(0.16) = 31.18ml. ("largest")`