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Assignment Solutions CHEM 110- Fall 2011 1. Express the following ...

Assignment Solutions CHEM 110- Fall 2011 1. Express the following ...

Assignment Solutions CHEM 110- Fall 2011 1. Express the following ...

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5. A solution is prepared by diluting 225 mL of 0.1885 M aluminum sulfate,<br />

Al 2 (SO 4 ) 3 solution with water to a final volume of <strong>1.</strong>450L.<br />

Calculate:<br />

a) <strong>the</strong> number of mole Al 2 (SO 4 ) 3 before dilution<br />

mole of Al 2 (SO 4 ) 3 = 0.225 L x<br />

0.1885 mole<br />

1L<br />

= 0.0424 mole.<br />

b) <strong>the</strong> molarities of Al 2 (SO 4 ) 3 , Al 3+ ions, SO 4 2- ions in <strong>the</strong> dilution solution<br />

Molarity of <strong>the</strong> diluted solution =<br />

0.0424 mole<br />

<strong>1.</strong>450 L<br />

= 0.0292 M Al 2 (SO 4 ) 3<br />

Molarity of Al 3+ ions = 2 mole Al 3+ :1 mole Al 2 (SO 4 ) 3 = 00585 M Al 3+<br />

Molarity of SO 4 2- ions = 3 mole SO 4<br />

2-<br />

: 1 mole Al 2 (SO 4 ) 3 = 0.127 M<br />

6. A bottle of phosphoric acid is labeled “85.0% H 3 PO 4 by mass” Calculate <strong>the</strong><br />

molarity and mole fraction of phosphoric acid in solution.<br />

Mass of H 3 PO 4 = 85 gram<br />

Mole of H 3 PO 4 = 85 gram x<br />

1mole<br />

98 gram<br />

= 0.867 mol<br />

Mass of solution = 100 gram<br />

Assume that density of <strong>the</strong> solution is 1g/ml<br />

Volume of solution = 100 mL, and grams of H 2 O = 100-85 =15 grams<br />

Mole H 2 O = 15 grams x<br />

1mole<br />

18 gram<br />

= 0.833 mole<br />

Molarity of H 3 PO 4 =<br />

0.867 mole H<br />

3PO<br />

4<br />

0.100 L<br />

= 8.67 M<br />

Mole fraction of H 3 PO 4 = Mole fraction =<br />

mole of H<br />

mole of<br />

3<br />

PO<br />

4<br />

H<br />

3<br />

PO<br />

4<br />

+ mole of<br />

H<br />

2<br />

O<br />

0.867<br />

0.867 mole + 0.833 mole<br />

= 5<strong>1.</strong>0%

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