Answer:
25 mL
Explanation:
From the balanced equation of reaction:
[tex]MgSO_ {4(aq)} + Ba(NO_3)_{2 (aq)} --> BaSO_{4 (s)} + Mg(NO_3)_{2 (aq)}[/tex]
1 mole of the epsom salt requires 1 mole of [tex]Ba(NO_3)_{2 (aq)}[/tex] to precipitate barium sulfate.
mole of epsom salt = mass/molar mass
= 1.250/246.4746 = 0.0051 mole
Hence, 0.0051 mole of epsom salt will also require 0.0051 mole of [tex]Ba(NO_3)_{2 (aq)}[/tex] for sulafe's precipitation.
Molarity of [tex]Ba(NO_3)_{2 (aq)}[/tex] = mole/volume = 0.200 M
Volume = mole/molarity
= 0.0051/0.200
= 0.025 Liter
0.025 Liter = 25 milliliters.
25 milliliters of 0.200 M [tex]Ba(NO_3)_{2 (aq)}[/tex] would be required to precipitate all the sulfate as barium sulfate.