3. If equal amounts of 0,010 M K2SO4 and ).10 M Pb(NO3)2 solutions are mixed, will a precipitate form? Ksp of PbSO4=1.8x10-8
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Answer: PbSO₄ is precipitated when an equal amount of 0.010 M K₂SO₄ and 0.10 M Pb(NO₃)₂ solutions are mixed.
Explanation:
Given that,
Molarity of K₂SO₄ = 0.010M
Molarity of Pb(NO₃)₂= 0.10M
Ksp of PbSO₄ = 1.8×10⁻8
ions in solution,
K₂SO₄(aq) (0.010M)⇒ 2K⁺(0.020M) + SO₄²⁻(0.010M)
Pb(NO₃)₂(aq)(0.10M)⇒ Pb²⁺(0.10M) + 2NO₃⁻(0.20M)
Reaction is, K₂SO₄+ Pb(NO₃)₂ ⇒ PbSO₄ + 2KNO₃
The volume will be double when we add an equal amount of K₂SO₄ and Pb(NO₃)₂.
Then the new molarity is,
Pb²⁺ = 0.050 M Pb²⁺
SO₄²⁻ = 0.0050M SO₄²⁻
Q= 0.050×0.0050=2.5×10⁻4
Ksp= [Pb²⁺] [SO₄²⁻] = 1.8×10⁻8
Q>Ksp So, PbSO₄ will precipitate.
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