May/June 2026 Paper 41

2026 · 10 questions · 45 parts · 100 marks

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3(a)Temperature Internal Energy Heat CapacityEasy2 marks
State what is meant by the internal energy of a system.

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3(b)(i)Gas Laws Kinetic TheoryEasy2 marks
An ideal gas containing molecules is at a temperature of and a pressure of . Show that the volume of the gas is .
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3(b)(ii)Gas Laws Kinetic TheoryMedium3 marks
Determine the internal energy of the gas. Explain your reasoning.
Explain your reasoning
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3(c)Laws ThermodynamicsMedium3 marks
The gas in 3(b) undergoes a sequence of changes AB, BC and CA in its pressure and volume , as shown in Figure 3.1.
Figure 3.1, a graph of pressure $p$ (in $10^{5}$ Pa) against volume $V$ (in m$^{3}$) showing a cycle: point B at about (0.009, 4), a curve down to point A at about (0.018, 2) with an arrow pointing from A towards B, a horizontal line with an arrow from C at about (0.009, 2) to A, and a vertical line with an arrow from B down to C
Determine three conclusions that can be drawn from Figure 3.1 about the individual and overall effects of these changes on the energy of the gas. The conclusions may be qualitative or quantitative, and may refer to any of work done, transfer of thermal energy and change in internal energy.

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