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5 marksThe Kinetic Theory of Gases

CAPE Physics Unit 1 · 1999 · Paper 2 · Question 9(a)

Write down an expression for the pressure of an ideal gas in terms of the mean square speed of its molecules. State FOUR assumptions that are required in the derivation of this expression.

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  1. 9(b)Write down another expression for the pressure of a fixed mass of an ideal gas in terms of its volume and absolute temperature. Show that the expression is…[3 marks]
  2. 9(c)(i)Estimate the number of molecules in the vessel.[12 marks]
  3. 9(c)(ii)Estimate the mean square speed of the molecules.[1 mark]
  4. 9(c)(iii)Estimate the total translational kinetic energy of the molecules.[1 mark]
  5. 9(c)(iv)Estimate the average translational kinetic energy of a molecule.[1 mark]

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