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Universal Gas Law Derivation
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Published on Nov 18, 2015
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PRESENTATION OUTLINE
1.
GAS LAWS
DERIVATION OF PV=nRT
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2.
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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3.
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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