J.R. S. answered 10/18/21
Ph.D. University Professor with 10+ years Tutoring Experience
4HCl(aq) + MnO2(s) ==> MnCl2(aq) + 2H2O(l) + Cl2(g) ... balanced equation
An easy way to find the limiting reactant is to simply divide the moles of each reactant by the respective coefficient in the balanced equation. Thus...
for HCl: 50.3 g HCl x 1 mol HCl/36.5 g = 1.38 mols HCl (÷4 -> 0.345)
for MnO2: 38.5 g MnO2 x 1 mol MnO2 / 86.9 g = 0.443 mol MnO2 (÷1 -> 0.443)
Since 0.345 is less than 0.443, HCl is LIMITING
Of course, you could use the 1.38 mols of HCl and the 0.443 mols MnO2 and calculate how much product (either MnCl2, H2O or Cl2) is formed, and whichever produces the least amount of product would be limiting, but this first method is quicker and simpler.