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3 marksThe Kinetic Theory of Gases

CAPE Physics Unit 1 · 2018 · Paper 2 · Question 6(a)

Figure 5 shows a quantity of gas in a cylinder with a piston in thermal equilibrium at a temperature of 305 K. The initial volume of gas in the container was 2.80 x 10⁻⁴ m³ and its pressure was 1.03 x 10⁵ Pa.

Use the equation of state for an ideal gas to determine the number of moles of gas in the cylinder.

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Other parts of this question

  1. 6(b)(i)Explain this rise in temperature on a macroscopic scale, using the first law of thermodynamics.[3 marks]
  2. 6(b)(ii)Explain this rise in temperature on a microscopic scale, using the kinetic theory of gases.[3 marks]
  3. 6(c)Calculate the pressure of the gas after the compression in (b).[2 marks]
  4. 6(d)The work done on the gas during the compression is 85 J. Use the first law of thermodynamics to determine the INCREASE in the thermal energy of the gas during…[1 mark]
  5. 6(e)Determine its molar heat capacity, C_v.[3 marks]

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