March 16, 2016 Avogadro's Law -equal moles of gas (at the same temperature & pressure) occupy equal volumes OR -equal volumes of gas (at the same temperature & pressure) contain equal moles OR -volume and moles are directly proportional (if T and P are constant) n1 = n2 V1 V2 Example: 25.0 g of nitrogen gas occupies a volume of 30.0 L in a flexible container. If 15.0 grams of nitrogen is added to the container with no change in temperature or pressure, what will be the new volume of the container? March 16, 2016 Law of Combining Volumes (an application of Avogadro's Law) The mole ratio of reacting gases can be determined from the ratio of volumes that react For instance hydrogen + oxygen -----> water 10 mL 5 mL 10 mL The law of combining volumes can be used to predict volumes of reacting gases from a balanced equation. Example: the combustion of octane (C8H18) What volume of oxygen is required to completely react with 100 mL of octane vapour in an engine cylinder? March 16, 2016 What volume of oxygen gas would react with 35.0 mL of hydrogen gas at STP, according to the equation 2 H2 (g) + O2 (g) ----> 2 H2O (g) Molar Volume of a Gas: -the volume occupied by one mole of a gas at a particular temperature and pressure -gases are unique because the equal moles of a gas will have the same volume at the same T and P (no matter what the gas is) -this relationship is not true for liquids or solids Example: 3.00 grams of helium gas has a volume of 19.5 L at 80 kPa and 20 ˚C. What is the molar volume of helium at this temperature and pressure? March 16, 2016 2 Molar Volumes to Remember STP 22.4 L/mol SATP 24.8 L/mol A sample of nitrogen gas has a volume of 65.0L at SATP. What mass of hydrogen gas is in the sample? March 16, 2016
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