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12 marksThe Kinetic Theory of Gases

CAPE Physics Unit 1 · 2006 · Paper 2 · Question 9(b)(vi)

Two moles of hydrogen initially at -10 °C and 1.0 x 10⁵ Pa, expands at constant pressure to five times its initial volume. The molar mass of hydrogen molecules is 2.0 x 10⁻³ kg mol⁻¹.

the root mean square speed, v_rms, of the hydrogen molecules after the expansion.

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Other parts of this question

  1. 9(a)(i)State FOUR of the basic postulates of the kinetic theory of an ideal gas.[8 marks]
  2. 9(a)(ii)Write an expression connecting the pressure of an ideal gas with the mean square speed of the molecules.[8 marks]
  3. 9(a)(iii)Using the expression you stated above and the ideal gas equation, pV = nRT, derive an expression for the total translational kinetic energy of a monatomic gas.[8 marks]
  4. 9(b)Calculate:[1 mark]
  5. 9(b)(i)the initial volume of the gas.[12 marks]
  6. 9(b)(ii)the final temperature of the gas.[12 marks]
  7. 9(b)(iii)the work done by the gas in the expansion.[12 marks]
  8. 9(b)(iv)the change in the internal energy of the gas during the expansion.[12 marks]
  9. 9(b)(v)the heat added to the gas.[12 marks]

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