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Concentration of Solutions

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Name Class Date<br />

Problem Solving continued<br />

Sample Problem 1<br />

What is the percentage by mass <strong>of</strong> a solution made by dissolving 0.49 g <strong>of</strong><br />

potassium sulfate in 12.70 g <strong>of</strong> water?<br />

Solution<br />

ANALYZE<br />

What is given in the problem?<br />

What are you asked to find?<br />

the mass <strong>of</strong> solvent, and the mass <strong>of</strong> solute,<br />

K 2 SO 4<br />

the concentration <strong>of</strong> the solution expressed as<br />

a percentage by mass<br />

Items<br />

Mass <strong>of</strong> solvent<br />

Data<br />

12.70 g H 2 O<br />

PLAN<br />

What step is needed to calculate the concentration <strong>of</strong> the solution as a percentage<br />

by mass?<br />

Divide the mass <strong>of</strong> solute by the mass <strong>of</strong> the solution and multiply by 100.<br />

1<br />

Mass <strong>of</strong> water in g <br />

Mass <strong>of</strong> solute 0.49 g K 2 SO 4<br />

<strong>Concentration</strong> (% by mass) ? %<br />

2<br />

Mass <strong>of</strong> K 2<br />

SO 4<br />

in g<br />

<br />

3<br />

Mass <strong>of</strong> K 2<br />

SO 4<br />

solution in g<br />

percentage solute mass<br />

concentration<br />

100<br />

solution mass<br />

4<br />

Percentage<br />

K 2<br />

SO 4<br />

by mass<br />

given<br />

g K 2<br />

SO 4 100<br />

percentage concentration g K2 SO 4<br />

g H 2<br />

O<br />

given<br />

given<br />

COMPUTE<br />

0.49 g K<br />

percentage concentration 2 SO<br />

4<br />

100 3.7% K 2 SO 4<br />

0.49 g K 2 SO 4 12.70 g H 2 O<br />

EVALUATE<br />

Are the units correct?<br />

Yes; percentage K 2 SO 4 was required.<br />

Is the number <strong>of</strong> significant figures correct?<br />

Yes; the number <strong>of</strong> significant figures is correct because the data had a minimum<br />

<strong>of</strong> two significant figures.<br />

Copyright © by Holt, Rinehart and Winston. All rights reserved.<br />

Holt ChemFile: Problem-Solving Workbook 198 <strong>Concentration</strong> <strong>of</strong> <strong>Solutions</strong>

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