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QUESTION

# How do you do gas stoichiometry problems at STP?

At STP (Standard Temperature and Pressure 273 K and 1 atm) we are able to use Avogadro's number of 22.4 L per mole of gas or 22.4 L/mole as our conversion factor in the .

EXAMPLE

How many liters of hydrogen gas are necessary to react with 10 grams of nitrogen to produce ammonia at standard temperature and pressure?

We begin with a balanced chemical equation

N_2 + 3H_2 -> 2NH_3

Now using the given value of 10 grams of nitrogen we will convert using stoichiometry

grams N_2 -> mol N_2 -> mol H_2 -> Liters H_2

10 g N_2 x (1 mol N_2)/(28 g N_2) = 0.357 mol N_2 (remember N_2 , 2 x 14 g = 28 g)

Use ratio from the balanced chemical equation to convert moles of N_2 to moles of H_2

0.357 mol N_2 x (3 mol N_2)/(1 mol N_2) = 1.071 mol H_2

Now use Avogadro's number 22.4 L/mol to convert moles of H_2 to Liters of H_2.

1.071 mol H_2 x (22.4 L H_2)/(1 mol H_2) = 23.99 L H_2

Remember, we can only use the 22.4 L/mole value if the reaction is taking place at Standard Temperature and Pressure (STP = 0 C and 1 atm).

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