The Ideal "If you fuel your journey on the opinions of others, you are going to run out of gas". - Steve Maraboli Gas Law
Gases according to the Kinetic Molecular Theory. Law Ideal Gas Consist of a large number of particles that are far apart. Undergo elastic collisions. Are in continuous rapid motion. Are neither attracted to or repelled by other gas particles. Are dependent upon temperature for the speed of their particles.
Gas Law Law Ideal Gas Ideal The ideal gas law assumes that all gases behave perfectly and identically to the rules of kinetic molecular theory. It shows the relationship between pressure, volume, temperature, and the amount of gas in moles. The relationship is associated with a universal constant, R .
Gas Law Law Ideal Gas Ideal
Law Ideal Gas Ideal Gas Law Formula
Law Ideal Gas Constant "R" Since the mole of a gas at 1.00 atm, and 273K(STP), the volume is 22.4L->we can use these values in the ideal gas law. R= PV =(1.00atm)(22.4L) nT =0.0821 (1.00mol)(273K) L atm mol K
Law Ideal Gas R Values Click to add text In various units
Law Ideal Gas At a certain temperature,3.24 moles of CO 2 gas at 2.15atm take up a volume of 35.28L. What is this temperature(in Celsius)? Sample Problem: 1 Given: P= 2.15atm V= 35.28L n= 3.24 T=?
Law Ideal Gas Solution: 1 T= PV nR = 2.15atm x35.28L 3.24mol x K mol 0.0821L atm =285K =285-273 =12 o C
Law Ideal Gas What volume would 50.0g of ethane, C 2 H 6, occupy at 1.40x10 2 o C under a pressure of 1.82x10 3 torr? Sample Problem: 2 Given: T= 140+273= 413K P= 1820 torr(1atm/760torr)= 2.39atm n= 50g(1mol/30g)= 1.67mol V=?
Law Ideal Gas Solution: V=nRT P =(1.67mol)(0.0821 )(413K) L atm mol K 2.39atm =23.6L 2
Law Ideal Gas Calculate the numbe of moles in, and the mass of, an 8.96L sample of methane, CH 4, measured at standard conditions. Sample Problem: 3 Given: V= 8.96L P= 1.00atm T= 273K n= ?
Law Ideal Gas Solution: n=PV RT =(1.00atm)(8.96L) L atm mol K (0.0821 ) =0.400mol CH 4 3 (273K) ?g CH 4 =0.400mol x 16g mol =6.40g
Law Ideal Gas A 23.8L balloon is filled with 88g C0 2 at 15 o C, what is the pressure in kPa? Quiz: 1 At what temperature will 0.654 moles of neon gas occupy 12.30 liters at 1.95 atmospheres? 2 A 12.0 g sample of gas occupies 19.2 L at STP. What is the molecular weight of this gas? 3