Answer:
Mass = 53.45 g
Explanation:
Given data:
Mass of propane = 200 g
Mass of Sâ‚‚ = 75 g
Theoretical yield /Mass of CSâ‚‚ = ?
Solution:
Balanced Chemical equation:
C₃H₈ + 5S₂    →   4H₂S + 3CS₂
Number of moles of propane:
Number of moles = mass / molar mass
Number of moles = 200 g/ Â 44.1 g/mol
Number of moles = 4.54 mol
Number of moles of Sâ‚‚:
Number of moles = mass / molar mass
Number of moles = 75 g/ Â 64.14 g/mol
Number of moles = 1.17 mol
Now we will compare the moles of carbon disulfide with both reactant.
            S₂       :      CS₂
             5        :       3
            1.17      :      3/5×1.17 = 0.702
            C₃H₈      :       CS₂
              1       :        3
            4.54      :        3×4.54 = 13.62 mol
Number of moles of CSâ‚‚ produced by Sâ‚‚ are less so it will limiting reactant and limit the yield of carbon disulfide.
Theoretical yield of carbon disulfide.
Mass = number of moles ×molar mass
Mass = 0.702 mol × 76.14 g/mol
Mass = 53.45 g