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Chapter 10 - An Introduction to Chemistry: Chemical Calculations ...

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<strong>10</strong>.3 Molarity and Equation S<strong>to</strong>ichiometry 389<br />

These two conversion fac<strong>to</strong>rs provide two ways <strong>to</strong> convert from milliliters of Na 3 PO 4<br />

solution <strong>to</strong> moles of Na 3 PO 4 .<br />

? mL AgNO 3 soln = 25.00 mL Na 3 PO 4 soln<br />

1 L<br />

<strong>10</strong> 3 mL<br />

0.500 mol Na 3 PO 4<br />

1 L Na 3 PO 4 soln<br />

Objective 12<br />

? mL AgNO 3 soln = 25.00 mL Na 3 PO 4 soln<br />

0.500 mol Na 3 PO 4<br />

<strong>10</strong> 3 mL Na 3 PO 4 soln<br />

The second setup requires one less conversion fac<strong>to</strong>r than the first setup, so we will<br />

use it. We can now use the molar ratio <strong>to</strong> convert from moles of Na 3 PO 4 <strong>to</strong> moles of<br />

AgNO 3 .<br />

? mL AgNO 3 soln = 25.00 mL Na 3 PO 4 soln<br />

0.500 mol Na 3 PO 4<br />

<strong>10</strong> 3 mL Na 3 PO 4 soln<br />

3 mol AgNO 3<br />

1 mol Na 3 PO 4<br />

We complete the problem by using the molarity of AgNO 3 <strong>to</strong> convert from moles of<br />

AgNO 3 <strong>to</strong> volume of AgNO 3 solution. The value 1.00 M AgNO 3 provides us with<br />

two possible conversion fac<strong>to</strong>rs. Like any conversion fac<strong>to</strong>rs, they can be used in the<br />

form you see here or inverted.<br />

1.00 mol AgNO 3<br />

1 L AgNO 3 soln<br />

or<br />

1.00 mol AgNO 3<br />

<strong>10</strong> 3 mL AgNO 3 soln<br />

The two possible setups for the problem are below.<br />

? mL AgNO 3 soln =<br />

Coefficients from balanced equation<br />

convert moles of one substance in<strong>to</strong><br />

moles of another substance.<br />

25.00 mL Na 3 PO 4 soln<br />

0.500 mol Na 3 PO 4<br />

<strong>10</strong> 3 mL Na 3 PO 4 soln<br />

3 mol AgNO 3 <strong>10</strong> 3 mL AgNO 3 soln<br />

1 mol Na 3 PO 4 1.00 mol AgNO 3<br />

= 37.5 mL AgNO 3 soln<br />

or<br />

Molarity as a conversion<br />

fac<strong>to</strong>r converts milliliters<br />

in<strong>to</strong> moles.<br />

Molarity as a conversion<br />

fac<strong>to</strong>r converts moles<br />

in<strong>to</strong> milliliters.<br />

? mL AgNO 3 soln<br />

Converts given<br />

unit in<strong>to</strong> liters.<br />

Coefficients from balanced equation<br />

convert moles of one substance in<strong>to</strong><br />

moles of another substance.<br />

Converts liters<br />

in<strong>to</strong> desired unit.<br />

= 25.00 mL Na 3 PO 4 soln<br />

1 L<br />

<strong>10</strong> 3 mL<br />

0.500 mol Na 3 PO 4<br />

1 L Na 3 PO 4 soln<br />

3 mol AgNO 3 1 L AgNO 3 soln <strong>10</strong> 3 mL<br />

1 mol Na 3 PO 4 1.00 mol AgNO 3 1 L<br />

= 37.5 mL AgNO 3 soln<br />

Molarity as a conversion<br />

fac<strong>to</strong>r converts liters in<strong>to</strong> moles.<br />

Molarity as a conversion<br />

fac<strong>to</strong>r converts moles in<strong>to</strong> liters.

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