2 Al(s) + 6 HCl(aq) --> 2 AlCl3(aq) + 3 H2(g) Fe(s) + 2 HCl(aq) --> FeCl2(aq) + H2(g) When a 7.007-g sample of a particular iron-aluminum alloy was dissolved in excess hydrochloric acid, 0.4705 g of H2(g) was produced. What was the mass percentage of aluminum in the alloy?
Fe +2 HCl --> FeCl2 + H2
1 mole Fe forms 1 mole H2
2 Al + 6 HCl --> 2 AlCl3 + 3 H2
or, Al+ 3HCl------> AlCl3+3/2 H2
1 mole Al forms 3/2 moles H2
Given that;
0.4705 g of H2(g) was produced
Moles of H2 = 0.4705 g of H2 / 2.01588 g/ moles
=0.233 moles H2
Let there are x moles of Fe and y moles of Al in the alloy
Hydrogen balance
x+1.5y = 0.233 ----------------[ 1 ]
x = 0.233 -1.5 y
Molar mass of Fe =55 .85 g / mol
Molar mass of Al = 27 g / mol
Also we have,
55.85 x+27y = 7.007 ------------[ 2 ]
now Solve eqn [1] and [2],
55.85 x+27y = 7.007
55.85 (0.233 -1.5 y)+27y = 7.007
13.01 – 83.775 y +27 y = 7.007
13.01 – 56.775 y = 7.007
56.775 y =13.01 – 7.007
56.775 y = 6.003
y = 0.106
and
x = 0.233 -1.5 y
x = 0.233 -1.5 *0.106
= 0.39
Amount of Al = 0.106 moles*27 g/ mole
= 2.862 g
% Al in alloy = amount of Al / amount of alloy *100
= 2.862/ 7.007*100
= 40.84 %
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