Answer :
Final answer:
The percent yield of the solid is 71.6%.
Explanation:
To calculate the percent yield of the solid, we need to determine the theoretical yield and the actual yield. Let's start by balancing the chemical equation for the reaction:
Ca(NO3)2 + Na2SO4 → CaSO4 + 2NaNO3
The balanced equation shows that 1 mole of Ca(NO3)2 reacts with 1 mole of Na2SO4 to produce 1 mole of CaSO4. From the given information, we know that the initial volume of Ca(NO3)2 is 5.00 mL and the initial volume of Na2SO4 is 25.0 mL. Both solutions have a concentration of 2.00 M.
Using the formula:
Moles = Volume (L) x Concentration (M)
We can calculate the moles of Ca(NO3)2 and Na2SO4:
Moles of Ca(NO3)2 = 5.00 mL x 0.00200 M = 0.0100 moles
Moles of Na2SO4 = 25.0 mL x 0.00200 M = 0.0500 moles
Since the stoichiometry of the reaction is 1:1, the moles of CaSO4 formed will be equal to the moles of Ca(NO3)2 used.
Therefore, the theoretical yield of CaSO4 is 0.0100 moles.
Given that the actual yield of the solid is 0.975 g, we can convert this to moles using the molar mass of CaSO4:
Molar mass of CaSO4 = 40.08 g/mol + 32.06 g/mol + (4 x 16.00 g/mol) = 136.14 g/mol
Moles of CaSO4 = 0.975 g / 136.14 g/mol = 0.00716 moles
Now we can calculate the percent yield:
Percent Yield = (Actual Yield / Theoretical Yield) x 100%
Percent Yield = (0.00716 moles / 0.0100 moles) x 100% = 71.6%
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