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1 markFirst Law of Thermodynamics

CAPE Physics Unit 1 · 2004 · Paper 2 · Question 9(b)(ii)

A fixed mass of an ideal monatomic gas with cᵥ = (3R)/2 undergoes two successive changes, from an initial state (P₀, V₀) to (P₀, 3V₀) and then to (4P₀, 3V₀).

Show that the OVERALL change of internal energy is given by ΔU = (33/2) P₀V₀.

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Other parts of this question

  1. 9(a)(i)State the first law of thermodynamics in the form of an equation and explain the symbols used.[8 marks]
  2. 9(a)(ii)Define the term 'the mole'.[1 mark]
  3. 9(a)(iii)The molar heat capacity of a gas at constant pressure, cₚ, differs from the molar heat capacity at constant volume, cᵥ. State which is the GREATER and explain…[1 mark]
  4. 9(b)(i)Draw a graph to represent these changes.[12 marks]
  5. 9(b)(iii)a)Calculate the work done by the gas on the surroundings.[1 mark]
  6. 9(b)(iii)b)Calculate the thermal energy added to the gas.[1 mark]

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