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First law of thermodynamics

Adiabatic process

For a fixed amount of ideal gas with constant heat capacities, the first law and $\delta Q=0$ give
$$
TV^{\gamma-1}=\text{constant},
\qquad
pV^\gamma=\text{constant},
$$
where $\gamma=C_p/C_V$.


Reversible ideal-gas adiabat

Past exam of the mathematics course of the University of Cambridge / 2019 / ii / Paper 2 / 35D / Solution

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

Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 4 / 35A / c / Solution

Reversible ideal-gas adiabat

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Reversible ideal-gas adiabat

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