Question
Derive the relationship between the temperature and pressure for a reversible adiabatic process.
Answer :
Word Count : 220
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In a reversible adiabatic process, there is no heat exchange with the surroundings (Q = 0). The relationship between temperature (T) and pressure (P) can be derived using the first law of thermodynamics, which states:
\[
dU = \delta Q - \delta W
\]
For an adiabatic process, \(\delta Q = 0\), so:
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