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HEINS09-095-117v4.qxd 12/30/06 1:58 PM Page 115<br />
- <strong>Chapter</strong> 9 -<br />
52. Percent yield of H 2 SO 4<br />
1100.0 g S2a 1 mol b = 3.118 mol S to start with<br />
32.07 g<br />
3.118 mol S ¡ 3.118 mol SO 2 - 10% = 2.806 mol SO 2<br />
-0.3118<br />
2.8062<br />
2.806 mol SO 2 ¡ 2.806 mol SO 3 - 10% = 2.525 mol SO 3<br />
-0.2806<br />
2.5254<br />
2.525 mol SO 3 ¡ 2.525 mol H 2 SO 4 - 10% = 2.273 mol H 2 SO 4<br />
-0.2525<br />
2.2725<br />
12.273 mol H 2 SO 4 2a 98.09 g b = 223.0 g H<br />
mol<br />
2 SO 4 formed<br />
13.118 mol S2a 1 mol H 2SO 4<br />
b = 3.118 mol H<br />
1 mol S<br />
2 SO 4 (theoretical yield)<br />
¢ 2.273 mol H 2SO 4<br />
3.118 mol H 2 SO 4<br />
≤11002 = 72.90% yield<br />
Alternate Solution:<br />
Calculation of yield. There are three chemical steps to the formation of H 2 SO 4 . Each step<br />
has a 10% loss of yield.<br />
Step 1:<br />
Step 2:<br />
Step 3:<br />
100% yield - 10% = 90.00% yield<br />
90.00% yield - 10% = 81.00% yield<br />
81.00% yield - 10% = 72.90% yield<br />
Now calculate the grams of product. One mole of sulfur will yield a maximum of 1 mol<br />
H 2 SO 4 . Therefore 3.118 mol S will give a maximum of 3.118 mol H 2 SO 4 .<br />
13.118 mol S2a 1 mol H 2SO 4<br />
1 mol S<br />
ba 98.09 g b10.72902 = 223.0 g H<br />
mol<br />
2 SO 4 yield<br />
53. According to the equations, the moles of CO 2 come from both reactions and the moles<br />
H 2 O come from only the first reaction.<br />
So the mol NaHCO 3 = 2 * mol H 2 O = 2 * 0.0357 mol = 0.0714 mol NaHCO 3<br />
10.0714 mol NaHCO 3 2a 84.01 g b = 6.00 g NaHCO<br />
mol<br />
3 in the sample<br />
110.00 g NaHCO 3 + Na 2 CO 3 2 - 6.00 g NaHCO 3 = 4.00 g Na 2 CO 3 in the sample<br />
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