<u>Answer:</u> The mass of barium sulfate produced is 1.45 grams.
<u>Explanation:</u>
To calculate the number of moles, we use the equation:
.....(1)
Given mass of
= 1.5052 g
Molar mass of
= 244.26 g/mol
Putting values in equation 1, we get:
![\text{Moles of }BaCl_2.2H_2O=\frac{1.5052g}{244.26g/mol}=0.0062mol](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20%7DBaCl_2.2H_2O%3D%5Cfrac%7B1.5052g%7D%7B244.26g%2Fmol%7D%3D0.0062mol)
The chemical equation for the reaction of barium chloride and sulfuric acid follows:
![BaCl_2.2H_2O+H_2SO_4\rightarrow BaSO_4+2HCl+2H_2O](https://tex.z-dn.net/?f=BaCl_2.2H_2O%2BH_2SO_4%5Crightarrow%20BaSO_4%2B2HCl%2B2H_2O)
As, sulfuric acid is present in excess, it is considered as an excess reagent.
Thus,
is considered as a limiting reagent because it limits the formation of product
By Stoichiometry of the reaction:
1 mole of
produces 1 mole of barium sulfate
So, 0.0062 moles of
will produce =
moles of barium sulfate
Now, calculating the mass of barium sulfate by using equation 1:
Molar mass of barium sulfate = 233.4 g/mol
Moles of barium sulfate = 0.0062 moles
Putting values in equation 1, we get:
![0.0062mol=\frac{\text{Mass of barium sulfate}}{233.4g/mol}\\\\\text{Mass of barium sulfate}=(0.0062mol\times 233.4g/mol)=1.45g](https://tex.z-dn.net/?f=0.0062mol%3D%5Cfrac%7B%5Ctext%7BMass%20of%20barium%20sulfate%7D%7D%7B233.4g%2Fmol%7D%5C%5C%5C%5C%5Ctext%7BMass%20of%20barium%20sulfate%7D%3D%280.0062mol%5Ctimes%20233.4g%2Fmol%29%3D1.45g)
Hence, the mass of barium sulfate produced is 1.45 grams.