9 Keep in mind Despite its relatively simplistic form the ideal gas equation is

# 9 keep in mind despite its relatively simplistic form

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9 Keep in mind… Despite its relatively simplistic form, the ideal gas equation is remarkably realistic, provided the gas is not close to its condensation point. Deviations from ideal behaviour are most significant when the pressure is high or the temperature is very low. In regards to Avogadro’s law, Boyle’s law, and Charles’ law -The ideal gas law combines all of these laws into one. We expect you to remember and know the ideal gas law only. Module 6, pg. 2
Examples Using the Ideal Gas Equation10Example 6-1: Calculate the volume of one mole of ideal gas at 0oC and 101 kPa. What is the volume at 25 oC and 101 kPa? (Ans: 22.486 L at 0 C Module 6, pg. 4
11 Module 6, pg. 4 Examples Using the Ideal Gas Equation Example 6-2: A sample of gas occupies a volume of 2.00 L at 25 oC and 101 kPa. What is the volume at 35 oC and 151 kPa? (Ans: 1.38 L)
12 Examples Using the Ideal Gas Equation Example 6-3: A 0.474-g sample of gas occupies a volume of 0.250 L at 100oC and 101 kPa. What is the molar mass of this gas? (Ans: 58.2 g mol
13Example 6-4: An automobile airbag can be inflated by the N2gas that is produced when a solid “pellet” containing 3and Fe2O3is detonated. What is the mass of a pellet required to inflate an automobile airbag with N2(g) at 26 oC and 735 Torr, if the airbag has a volume of 65.0 L? The reaction is given below. (Ans: 156 g)Examples Using the Ideal Gas Equation NaN )
Examples Using the Ideal Gas Equation 14 Example 6-5: What volume of which reactant gas remains if 15.0 L CO and 25.0 L H2react according to the chemical equation below? What volume of 5H12is produced? What volume of the excess reagent remains? Assume that the volumes are measured at 722 oC and 129 kPa. (Ans: 2.27 L C C Module 6, pg. 7
Examples Using the Ideal Gas Equation 15 5 CO( g ) + 11 H 2 ( g ) → C 5 H 12 ( g ) + 5 H 2 O( g )
Kinetic-Molecular Theory of Gases 16 Main assumptions are the same we introduced for ideal gases . Recall that the ideal gas equation of state could be derived from kinetic- molecular theory. Maxwell-Boltzmann distribution of speeds You don’t need to remember this equation! f ( v ) is the fraction of molecules in the sample with speed v Module 6, pg. 12
Kinetic-Molecular Theory of Gases 17 average speed root-mean-square speed NOTE: The inverse dependence on the square root of M (molar mass) For fixed T lighter molecules travel faster (on average) than do heavier molecules .