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12 marksThe Kinetic Theory of Gases

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

A vessel of volume 500 cm³ contains hydrogen at a pressure of 1.0 Pa and a temperature of 27°C. Molar mass of hydrogen = 2.0 x 10⁻³ kg.

Estimate the number of molecules in the vessel.

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  1. 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…[5 marks]
  2. 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]
  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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