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Untitled - Kelly Walsh High School

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Gases 83<br />

Quick Tip<br />

Let’s see how we might use the ideal gas equation. Suppose you want to know<br />

what volume 40.0 g of hydrogen gas would occupy at 37 o C and 0.850 atm? You<br />

have the pressure in atm, you can get the temperature in Kelvin (37 o C 273 <br />

310. K), but you will need to convert the grams of hydrogen gas to moles of<br />

hydrogen gas before you can use the ideal gas equation.<br />

Be sure to use the correct molecular mass for those gases that exist as diatomic<br />

molecules—H 2, N 2, O 2, F 2, Cl 2, Br 2, I 2.<br />

First, you’ll convert the 40.0 g to moles:<br />

(40.0 g) (1 mol H 2/2.016 g) 19.84 mol H 2<br />

(We’re not worried about significant figures at this point since this is an intermediate<br />

calculation.)<br />

Now you can rearrange the ideal gas equation for the unknown quantity, the<br />

volume.<br />

PV nRT<br />

V nRT/P<br />

Finally, we enter in the numerical values for the different known quantities:<br />

V (19.84 mol) (0.0821 Latm/Kmol) (310. K) / (0.850 atm)<br />

V 594 L (Rounded to correct significant figures)<br />

5-2 Gas Stoichiometry<br />

We can use the gas law relationships, especially the ideal gas law and the combined<br />

gas law, in reaction stoichiometry problems. For example, suppose you<br />

have 2.50 g of an impure sample of KClO 3 and you want to determine how<br />

many grams of pure KClO 3 are present. You heat the mixture and the KClO 3<br />

decomposes according to the equation:<br />

2 KClO 3(s) l 2 KCl(s) 3 O 2(g)

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