1) First we should equalize the equation:
6HCl + Fe2O3 = 2FeCl3 + 3H2O
Now, we should found the amount in moles of HCl and that of Fe2O3 would be 6 times less:
"n(HCl)=\\frac{28.0g}{36.5g\/mol}=0.767mol"
"n(Fe_2O_3)=\\frac{1}{6}*0.767mol=0.128mol"
Thus, the mass of Fe2O3 is equal to:
"m(Fe_2O_3)=160g\/mol*0.128mol=20.5g"
2) Lets equalize it:
2HBr = H2 + Br2
Now, lets calculate the amount of bromine in moles and the amount of HBr would be 2 times Br2 amount:
"n(Br_2)=\\frac{23.4g}{160g\/mol}=0.146mol"
"n(HBr)=2*0.146mol=0.292mol"
Now, it is the right time to calculate the mass of HBr:
"m(HBr)=81g\/mol*0.292mol=23.7g"
Thus, the mass of HBr required is equal to 23.7g.
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