<u>Answer:</u> The amount of barium sulfate produced in the given reaction is 0.667 grams.
<u>Explanation:</u>
To calculate the number of moles from molarity, we use the equation:
![\text{Molarity of the solution}=\frac{\text{Moles of solute}}{\text{Volume of solution (in L)}}](https://tex.z-dn.net/?f=%5Ctext%7BMolarity%20of%20the%20solution%7D%3D%5Cfrac%7B%5Ctext%7BMoles%20of%20solute%7D%7D%7B%5Ctext%7BVolume%20of%20solution%20%28in%20L%29%7D%7D)
Molarity of barium chloride = 0.113 M
Volume of barium chloride = 25.34 mL = 0.02534 L (Conversion factor: 1 L = 1000 mL)
Putting values in above equation, we get:
![0.113mol/L=\frac{\text{Moles of barium chloride}}{0.02534L}\\\\\text{Moles of barium chloride}=0.00286mol](https://tex.z-dn.net/?f=0.113mol%2FL%3D%5Cfrac%7B%5Ctext%7BMoles%20of%20barium%20chloride%7D%7D%7B0.02534L%7D%5C%5C%5C%5C%5Ctext%7BMoles%20of%20barium%20chloride%7D%3D0.00286mol)
For the given chemical reaction:
![BaCl_2(aq.)+Na_2SO_4(aq.)\rightarrow BaSO_4(s)+2NaCl(aq.)](https://tex.z-dn.net/?f=BaCl_2%28aq.%29%2BNa_2SO_4%28aq.%29%5Crightarrow%20BaSO_4%28s%29%2B2NaCl%28aq.%29)
By Stoichiometry of the reaction:
1 mole of barium chloride is producing 1 mole of barium sulfate.
So, 0.00286 moles of barium chloride will produce =
of barium sulfate.
Now, to calculate the mass of barium sulfate, we use the equation:
![\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20moles%7D%3D%5Cfrac%7B%5Ctext%7BGiven%20mass%7D%7D%7B%5Ctext%7BMolar%20mass%7D%7D)
Molar mass of barium sulfate = 233.38 g/mol
Moles of barium sulfate = 0.00286 moles
Putting values in above equation, we get:
![0.00286mol=\frac{\text{Mass of barium sulfate}}{233.38g/mol}\\\\\text{Mass of barium sulfate}=0.667g](https://tex.z-dn.net/?f=0.00286mol%3D%5Cfrac%7B%5Ctext%7BMass%20of%20barium%20sulfate%7D%7D%7B233.38g%2Fmol%7D%5C%5C%5C%5C%5Ctext%7BMass%20of%20barium%20sulfate%7D%3D0.667g)
Hence, the amount of barium sulfate produced in the given reaction is 0.667 grams