Warm up Convert 65.0 mmHg to atm Reference: 1 atm = 760 mmHg = kPa 2. A helium balloon has a volume of 2.75 L at 20 ºC. the volume decreases to 2.46 L. What is the new temperature in ºC? 3. If pressure go up what will happen to volume? Agenda -Turn in HW -Notes Unit Food article + Online HW Homework May 4 - Quiz unit 10 May 11 - Online HW
Answer: 1. c) mmHg d) mmHg 3. a) 100 ml b) ml ml Kelvin ml atm atm ml L
Unit 10-4 Ideal Gas Law Mathematical relationship between pressure, volume, temperature & number of moles of a gas
Ideal Gas Law A combination of Boyle’s, Charles’, Gay-Lussac’s and Avogadro’s Laws A hypothetical state to approximate the behavior of many gases under KMT Use when conditions are set.
Ideal Gas Law PV = nRT Pressure (atm) Volume (Liters) # moles Ideal gas constant Temperature (Kelvin)
Ideal Gas Constant, “R” R = L·atm mol·K Make sure your P, V, n, and T. is in the same unit as R
Ideal Gas Law Example 1 What is the pressure in atm exerted by a 0.5 mol sample of nitrogen gas in a 10 L container at 298 K? –Given:V = 10 LFind:P n = 0.5 mol R = (L·atm)/(mol·K) T = 298 K
Ideal Gas Law Example 1 –Given:V = 10 LFind:P n = 0.5 mol R = (L·atm)/(mol·K) T = 298 K –Plan:PV = nRT P = nRT V –Solve:P = (0.5 mol)( (L·atm)/(mol·K) )(298 K) 10 L P = 1 atm
Ideal Gas Law Example 2 What is the volume, in liters, of mol of oxygen gas at 20 °C and atm? –Given:P = atm Find:V n = mol R = (L·atm)/(mol·K) T = 20 °C = 293 K
Ideal Gas Law Example 2 Given:P = atmFind:V n = mol R = (L·atm)/(mol·K) T = 20 °C = 293 K Plan:PV = nRT V = nRT P Solve: V = (0.250 mol)( (L·atm)/(mol·K) )(293 K) atm V = 6.35 L
Assignments No Summary Food article due today Online HW (use chrome) Job Notice - Big Arms Swimmers is hiring instructors for the summer at $21/hour in Corona. Let me know if you are interested. Current juniors that would like to be a chemistry lab assistant (T.A.) for next year let me know.
Quiz Topics 1.KMT 2.Properties of Gases 3.Combined gas law calculation 4.P, V, T relationship 5.Converting Celsius to Kelvin DON’T FORGET TO DO EXTRA CREDIT