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Bipolarity

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http://www.pichem.net/images//reversible-adiabatic//adiabatic-expansion-2.jpg [Broken]

Evidently the adiabatic curve is steeper than the isothermal curve.

How can I prove this mathematically using the following facts:

[itex] P_{1}V_{1} = P_{2}V_{2} [/itex] for a reversible isothermal process

[itex] P_{1}V^{γ}_{1} = P_{2}V^{γ}_{2} [/itex] and [itex] γ > 1 [/itex] for a reversible adiabatic process.

It's really a math problem but I don't know how to begin.

BiP

Evidently the adiabatic curve is steeper than the isothermal curve.

How can I prove this mathematically using the following facts:

[itex] P_{1}V_{1} = P_{2}V_{2} [/itex] for a reversible isothermal process

[itex] P_{1}V^{γ}_{1} = P_{2}V^{γ}_{2} [/itex] and [itex] γ > 1 [/itex] for a reversible adiabatic process.

It's really a math problem but I don't know how to begin.

BiP

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