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HEINS09-095-117v4.qxd 12/30/06 1:58 PM Page 107<br />
- <strong>Chapter</strong> 9 -<br />
29. Limiting reactant calculation and percentage yield<br />
2 Al + 3 Br 2 ¡ 2 AlBr 3<br />
Reaction between 25.0 g Al and 100. g Br 2<br />
Calculate the grams of AlBr 3 from each reactant.<br />
125.0 g Al2a 1 mol<br />
26.98 g b ¢ 2 mol AlBr 3<br />
≤ a 266.7 g b = 247 g AlBr<br />
2 mol Al mol<br />
3<br />
(100. g Br 2 )a 1 mol<br />
159.8 g b ¢ 2 mol AlBr 3<br />
≤ a 266.7 g b = 111 g AlBr<br />
3 mol Br 2 mol<br />
3<br />
Br 2 is limiting; 111 g AlBr 3 is the theoretical yield of product.<br />
actual yield<br />
64.2 g<br />
Percent yield = a<br />
b11002 = a b11002 = 57.8%<br />
theoretical yield 111 g<br />
30. Percent yield calculation<br />
Fe(s) + CuSO 4 (aq) ¡ Cu(s) + FeSO 4 (aq)<br />
1400. g CuSO 4 2a 1 mol 1 mol Cu<br />
b ¢ ≤ a 63.55 g b = 159 g Cu (theoretical yield)<br />
159.6 g 1 mol CuSO 4 mol<br />
actual yield<br />
151 g<br />
% yield = a<br />
b11002 = a b11002 = 95.0% yield of Cu<br />
theoretical yield 159 g<br />
31. The balanced equation is 3 C + 2 SO 2 ¡ CS 2 + 2 CO 2<br />
Calculate the g C needed to produce 950 g CS 2 taking into account that the yield of CS 2<br />
is 86.0%. First calculate the theoretical yield of CS 2 .<br />
950 g CS 2<br />
0.860<br />
= 1.1 * 10 3 g CS 2 1theoretical yield2<br />
Now calculate the grams of coke needed to produce 1.1 * 10 3 g CS 2 .<br />
11.1 * 10 3 g CS 2 2a 1 mol<br />
76.15 g b ¢ 3 mol C ≤ a 12.01 g b = 5.2 * 10 2 g C<br />
1 mol CS 2 mol<br />
32. The balanced equation is CaC 2 + 2 H 2 O ¡ C 2 H 2 + Ca1OH2 2<br />
First calculate the grams of pure CaC 2 in the sample from the amount of C 2 H 2 produced.<br />
10.540 mol C 2 H 2 2¢ 1 mol CaC 2<br />
≤ a 64.10 g CaC 2<br />
b = 34.6 g of pure CaC<br />
1 mol C 2 H 2 mol CaC 2 in the sample<br />
2<br />
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