You add 3.00 g of Pb(NO3)2 (M.W. = 331.2 g/mole) to 75.0 mL of 0.100 M HCl, leading to formation of 0.873 g PbCl2 (M.W. = 278.1 g/mole) as a precipitate.
a) Which molecule is the limiting reactant?
b) What is the percent yield of PbCl2?
The balanced equation is below:
Pb(NO3)2 + 2HCl --> PbCl2 + 2HNO3
a)
"n(Pb(NO_3)_2)=3.00\\ g\\times\\frac{1\\ mol}{331.2\\ g}=0.009058\\ mol"
"n(HCl)=0.0750\\ L\\times\\frac{0.100\\ mol}{1\\ L}=0.00750\\ mol"
According to the equation, 1 mole of Pb(NO3)2 reacts with 2 moles of HCl. Actually, there are fewer moles HCl than Pb(NO3)2, hence HCl is the limiting reactant.
b)
"Theoretical\\ yield\\ PbCl_2=0.00750\\ mol(HCl)\\times\\frac{1\\ mol(PbCl_2)}{2\\ mol(HCl)}\\times\\frac{278.1\\ g(PbCl_2)}{1\\ mol(PbCl_2)}=1.043\\ g"
"\\%\\ yield=\\frac{actual\\ yield}{theoretical\\ yield}\\times100\\%=83.7\\%"
Answer: 83.7%
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