Question 8.8: What is the volume, in liters, of 64.0 g of O2 gas at STP?...

What is the volume, in liters, of 64.0 g of O_{2} gas at STP?

Step-by-Step
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STEP 1   State the given and needed quantities.

Table 1

STEP 2   Write a plan to calculate the needed quantity.

grams \space of \space O_{2} \space \space Molar \space mass \space \space \space \space moles \space of \space O_{2} \space \space \space Molar \space volume \space \space \space \space liters \space of \space O_{2}

STEP 3   Write the equalities and conversion factors including 22.4 L/mole at STP.

1 mole of O_{2} = 32.00 g of O_{2}          1 mole of O_{2} = 22.4 L of O_{2} (STP)

\frac{32.00 \space g \space O_{2}}{1 \space mole \space O_{2}}    and   \frac{1 \space mole \space O_{2}}{32.00 \space g \space O_{2}}                      \frac{22.4 \space L \space O_{2} \space(STP)}{1 \space mole \space O_{2}}    and   \frac{1 \space mole \space O_{2}}{22.4 \space L \space O_{2} \space(STP)}

STEP 4   Set up the problem with factors to cancel units.

64.0 \space \cancel{g \space O_{2}}\times \frac{1 \space \cancel{mole \space O_{2}}}{32.00 \space \cancel{g \space O_{2}}} \times \frac{22.4 \space L \space O_{2}\left(STP\right) }{1 \space \cancel{mole \space O_{2}}} = 44.8 \space L \space of \space O_{2}\left(STP\right)

Table 1 :

ANALYZE THE
PROBLEM
Given Need Connect
64.0 g of O_{2}\left(g\right)
at STP
liters of O_{2} gas
at STP
molar mass, molar
volume (STP)

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