Lets find the concentration after mixing for Ba(NO3)2
Concentration after mixing = mol of component / (total volume)
M(Ba(NO3)2) after mixing = M(Ba(NO3)2)*V(Ba(NO3)2)/(total volume)
M(Ba(NO3)2) after mixing = 2.0E-4 M*50.0 mL/(50.0+350.0)mL
M(Ba(NO3)2) after mixing = 2.5*10^-5 M
Lets find the concentration after mixing for Na2SO4
Concentration after mixing = mol of component / (total volume)
M(Na2SO4) after mixing = M(Na2SO4)*V(Na2SO4)/(total volume)
M(Na2SO4) after mixing = 1.0E-5 M*350.0 mL/(350.0+50.0)mL
M(Na2SO4) after mixing = 8.75*10^-6 M
So, we have now
[Ba2+] = 2.5*10^-5 M
[SO42-] = 8.75*10^-6 M
At equilibrium:
BaSO4 <----> Ba2+ + SO42-
Qsp = [Ba2+][SO42-]
Qsp = (2.5*10^-5)*(8.75*10^-6)
Qsp = 2.188*10^-10
we have,
Ksp = 1.1*10^-10
Since Qsp is greater than ksp, precipitate will form
Answer: option 1
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