First the limiting reactant should be determined:
"n(MnO_2)=\\frac{39.1g}{86.94g\/mol}=0.450 mol"
"n(HCl)=\\frac{48.2g}{36.46g\/mol}=1.32 mol"
"\\frac{1.32}{0.450}=2.93<4" , hence HCl is the limiting reactant (1 mole of MnO2 requires 4 moles of HCl for the reaction). Therefore, theoretical yield of Cl2 will be:
"m(Cl_2)=1.32molHCl\\times\\frac{1molCl_2}{4molHCl}\\times\\frac{70.9gCl_2}{1molCl_2}=23.4g"
"\\%yield=\\frac{19.8g}{23.4g}\\times100=84.6\\%"
Answer: 84.6%
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