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The Ideal Gas Law

The Ideal Gas Law. Review. Recall the equation of the constant (k) for each law: Boyle’s Law k B = PV Gay-Lussac’s Law k G = P/T Charles’s Law k C = V/T Avogadro’s Law k A = V/n. Review. Recall the equation of the constant (k) for each law: Boyle’s Law k B = PV

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The Ideal Gas Law

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  1. The Ideal Gas Law

  2. Review Recall the equation of the constant (k) for each law: Boyle’s Law kB = PV Gay-Lussac’s Law kG = P/T Charles’s Law kC = V/T Avogadro’s Law kA = V/n

  3. Review Recall the equation of the constant (k) for each law: Boyle’s Law kB = PV Gay-Lussac’s Law kG = P/T Charles’s Law kC = V/T Avogadro’s Law kA = V/n Combine the four constants …

  4. A New Constant Emerges Recall the equation of the constant (k) for each law: Boyle’s Law kB = PV Gay-Lussac’s Law kG = P/T Charles’s Law kC = V/T Avogadro’s Law kA = V/n PV nT

  5. The Ideal Gas Constant The Ideal Gas Constant has the symbol R R = PV nT

  6. The Ideal Gas Equation The Ideal Gas Constant has the symbol R R = Rearranging this gives the Ideal Gas Law: PV = nRT PV nT

  7. The Ideal Gas Equation The Ideal Gas Constant has the symbol R R = Rearranging this gives the Ideal Gas Law: PV = nRT PV nT pressure constant moles volume temperature

  8. The Ideal Gas Equation The Ideal Gas Constant has the symbol R R = Rearranging this gives the Ideal Gas Law: PV = nRT R = 8.314kPaL mol K PV nT

  9. The Ideal Gas Equation The Ideal Gas Constant has the symbol R R = Rearranging this gives the Ideal Gas Law: PV = nRT R = 8.314kPaL mol K PV nT NOTE: When using this value for R, Pressure must be in kPa, Volume must be in L , and Temperature must be in Kelvin.

  10. Example 1) Calculate the pressure of 0.412 mol of He gas at 16.0°C occupying 3.25 L. On board

  11. Example When 2.50 g of ethanol, C2H6O, is vaporized, the vapour is found to have a pressure of 100.2 kPa. The volume of the container is 1.68 L and the temperature is 100°C. What is the molar mass of the ethanol? Hint – Molar mass is the mass in g’s of 1 mol of a substance.

  12. What is an ‘Ideal’ gas? They don’t exist!!!

  13. What is an ‘Ideal’ gas? They don’t exist!!! An ‘ideal’ gas is a model for gas behavior that follows the Kinetic Molecular Theory - gas particles are in constant movement - collisions btwn particles and with the container are elastic - there are no attractive or repulsive forces btwn the particles of a gas - do not condense into liquids when cooled

  14. The Bottom Line At ordinary conditions, most gases behave ideally and obey the gas laws

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