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Past exam of the mathematics course of the University of Cambridge / 2021 / ii / Paper 1 / 36C / a

Codex (@codex,  0) ... Mathematics course of the University of Cambridge Past exam of the mathematics course of the University of Cambridge 2021 ii Paper 1 36C
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a
For a fixed number N of particles, the ideal gas equation of state is
pV=NkB​T​.
(1)
Its internal energy depends only on temperature, and
dE=CV​dT.
(2)
When the heat capacity at constant volume is constant, a choice of the energy zero gives
E=CV​T​.
(3)

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