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Universal Gas Law Derivation

Published on Nov 18, 2015

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PRESENTATION OUTLINE

GAS LAWS

DERIVATION OF PV=nRT

COMBINED GAS LAW

  • By combining Boyle's and Charles' Laws we arrive at the equation:
  • P1 V1 / T1 = P2 V2 / T2
  • Also knowing that the conditions for S.T.P. are 273K & 100kPa,
  • We can substitute for P2 and T2
  • i.e. P1 V1 / T1 = 100 kPa X V2 / 273 K
P V / T = P V / T
1 1 1 2 2 2

Knowing
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ADDING AVOGADRO'S HYPOTHESIS

  • Avogadro postulated that 1 mole of any gas at S.T.P. occupied a volume of 22.41 L
  • i.e. 1 mol = 22.4 L. Hence n moles = V L.
  • Combining these two equations, we can then say that at S.T.P., V = 22.4 n L.
  • This can also be substituted into our equation. Which now becomes :
  • P V / T = 100kPa X (22.4 n ) / 273K

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