Jake R. answered 03/06/24
Graduating Rutgers Honors Biochemist with a Passion for Teaching
Since most molecules that involve a metal, such as copper, bound to a carbonate group are highly insoluble in water, we will be working under the assumption in this scenario that 100% of the theoretical copper (II) carbonate yield will form. Thus, in this case, our first step is to check to make sure that our stoichiometric coefficients are balanced. Luckily, they are here, so our balanced chemical equation remains:
CuSO4(aq) + Na2CO3(aq) → CuCO3(s) + Na2SO4(aq)
From here, we can then calculate the amount of moles of copper ions in 74.5 mL of .419 M CuSO4. To do this, we multiply out the volume in Liters by the molarity like so:
moles of CuSO4 = (.0745 Liters of CuSO4)*(.419 M)
moles of CuSO4 = .0312 moles
Since our balanced reaction shows that for every 1 mole of CuSO4 used, 1 mole of Na2CO3 is also used, we do not need to multiply our answer by anything to account for a change in molar equivalents of reactants and need .0312 moles of Na2CO3 as well. Using the same equation we used before, we can then calculate the volume of NaCO3 needed to complete this reaction fully:
moles of Na2CO3 = (Volume of NaCO3)*(Molarity of Na2CO3)
.0312 = (Volume of Na2CO3)*(.670)
Volume of Na2CO3 = .0466 L
Volume of Na2CO3 = 46.6 mL