3. Consider two thermodynamic processes – one adiabatic and the other isothermal - for an ideal but not necessarily monatomic ideal gas. Both processes pass through the point (Pı, Vi) on the P-V diagram. Prove that the slope of the adiabatic process is steeper (more negative) than the isothermal process for any choice of Pı and V1.

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3. Consider two thermodynamic processes – one adiabatic and the other isothermal - for
an ideal but not necessarily monatomic ideal gas. Both processes pass through the point
(Pi, Vi) on the P-V diagram. Prove that the slope of the adiabatic process is steeper (more
negative) than the isothermal process for any choice of P1 and V1.
Transcribed Image Text:3. Consider two thermodynamic processes – one adiabatic and the other isothermal - for an ideal but not necessarily monatomic ideal gas. Both processes pass through the point (Pi, Vi) on the P-V diagram. Prove that the slope of the adiabatic process is steeper (more negative) than the isothermal process for any choice of P1 and V1.
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