Revision:States of Matter - 15 - The Student Room
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Revision:States of Matter - 15

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15.1 Gases

15.1.1

\displaystyle PV = nRT

  • P = pressure in atm
  • V = volume in cm3
  • n = number of atoms in mols
  • R = 82.05 cm3 atm K</sup>-1</sup> mol-1 -- in data book
  • T = temperature in K


15.1.2

The above equation can be rearranged as:

\displaystyle P_1V_1=P_2V_2 or \displaystyle \frac{V_1}{T_1} = \frac{V_2}{T_2},

if temp or pressure are assumed to be constant.

Avogadro's law - equal volumes of gas contain equal numbers of particles (at 273K, 1 atm -> 22.4 dm3 mol-1 - in data book).


15.1.3

Dalton's law of partial pressures -> the partial pressure of a gas is the pressure the gas would exert if the gas were alone in its container. ie if there are Gases A, B and C filling a dm3, b dm3 and c dm3 respectively then the partial pressure of

\displaystyle a = \frac{(a)}{(a+b+c)} \times P_t

where P_t = total pressure.


15.1.4

Pp = (number of molecules in the gas)/(total number of molecules) x total pressure

...apply this relationship...


Nb -- Apparently, though it's never been in the syllabus, there have been questions on Van Der Wall's equation, which is an extension of PV=nRT for non-ideal gas situations. It is:

\displaystyle (\frac{P+an^2}{V^2})(V-nb)=nRT

Where a and b are constants for a given gas, which I assume will be given if necessary.


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