Avogadro’s Law Chemistry 10 Fourth Quarter OBJECTIVES At the end of the session, the students are able to illustrate how gases behave according to Avogadro’s Law “At the same temperature and pressure, equal volumes of different gases contains the same number of molecules.” AMEDEO AVOGADRO AVOGADRO’S LAW At constant temperature and pressure 𝑉∝ 𝑛 where n represents the number of moles AVOGADRO’S LAW For two samples of gas at the same pressure and temperature, the equation for Avogadro’s law can be written as: 𝑉1 𝑉2 = 𝑛1 𝑛2 AVOGADRO’S LAW Chemists have selected standard condition, to be used for easy comparison between gas samples: T = 0°C = 273 K P = 1.00 atm or 760 mmHg V = 22.4 L Sample Problem: Burning of rubber tires produces SO2, a pollutant in air. What is the volume of SO2 when 3.00 mol of it are produced assuming that temperature and pressure are constant? Sample Problem: Burning of rubber tires produces SO2, a pollutant in air. What is the volume of SO2 when 3.00 mol of it are produced assuming that temperature and pressure are constant? Sample Problem: Burning of rubber tires produces SO2, a pollutant in air. What is the volume of SO2 when 3.00 mol of it are produced assuming that temperature and pressure are constant? Given: Use the standard conditions as the initial conditions: V1 = 22.4 L n1 = 1.00 mol Required: V2 = ? Equation: 𝑉1 𝑛1 = 𝑉2 𝑛2 n2 = 3.00 mol Solution: 22.4 𝐿 𝑉2 = 1.00 𝑚𝑜𝑙 3.00 𝑚𝑜𝑙 22.4 𝐿 (3.00 𝑚𝑜𝑙) = 1.00 𝑚𝑜𝑙 𝑉2 22.4 𝐿 (3.00 𝑚𝑜𝑙) = 𝑉2 1.00 𝑚𝑜𝑙 67.2 𝐿 = 𝑉2 Answer: The volume of SO2 when 3.00 mL of it are produced is 67.2 L. ACTIVITY A 6.0 L sample at 25°C and 2.00 atm of pressure contains 0.5 mole of a gas. If an additional 0.25 mole of gas at the same pressure and temperature are added, what is the final total volume of the gas? ACTIVITY 1. 5.00 L of a gas is known to contain 0.965 mol. If the amount of gas is increased to 1.80 mol, what will be its final volume (at an unchanged temperature and pressure)? 2. A flexible container at an initial volume of 5.120 L contains 8.500 mol of gas. More gas is then added to the container until it reaches a final volume of 18.10 L. Assuming the pressure and temperature of the gas remain constant, calculate the number of moles of gas added to the container ACTIVITY If 0.00810 mol neon gas at a particular temperature and pressure occupies a volume of 214 mL, what volume would 0.00684 mol neon gas occupy under the same conditions? ACTIVITY A flexible container at an initial volume of 6.13 L contains 7.51 mol of gas. More gas is then added to the container until it reaches a final volume of 13.5 L. Assuming the pressure and temperature of the gas remain constant, calculate the number of moles of gas added to the container.