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Gas Volume Calculation - 2

Question: 50 cm3 of propane is burned completely in 300 cm3 of oxygen. All volumes are measured at room temperature and pressure. Find the volume of oxygen used, the volume of carbon dioxide formed and the total volume of gas left at the end.
C3H8(g) + 5O2(g) → 3CO2(g) + 4H2O(l)
By Avogadro's law, equal volumes of gases at the same temperature and pressure contain the same number of molecules. So for gases, the ratio of volumes is the same as the ratio of moles in the equation. There is no need to convert to moles.Step 1: oxygen used. The ratio C3H8 : O2 is 1 : 5.
50 × 5 = 250 cm3 of O2
Step 2: carbon dioxide formed. The ratio C3H8 : CO2 is 1 : 3.
50 × 3 = 150 cm3 of CO2
Step 3: oxygen left over.
300 - 250 = 50 cm3 of unreacted O2
Step 4: total gas volume. At rtp water is a liquid, so its volume is negligible and it is not counted.
150 + 50 = 200 cm3
Answer: 250 cm3 of oxygen is used, 150 cm3 of carbon dioxide forms and 200 cm3 of gas remains.This shortcut only works for substances that are gases under the conditions stated. Solids and liquids must be dealt with using moles and masses.

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