An ideal gas is allowed to expand both reversibly in an isolated system. if Ti is the initial temperature and Tf is the final temperature which of the correct?Tf is greater then Tihow?

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An ideal gas is allowed to expand both reversibly in an isolated system. if Ti is the initial temperature and Tf is the final temperature which of the correct?
Tf is greater then Ti
how?

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An ideal gas is allowed to expand both reversibly in an isolated syste...

This the PV diagram for the reversible and irreversible expansion of an ideal gas.

Ideal gas equation is given by:

PV=nRT, or, P=nRT/V

Now, for the final conditions of temperature, pressure and volume,

PF=nRTF/VF

From the curve it is seen that,

(PF)irr>(PF)rev

or, (kTF)irr>(kTF)rev

or, (TF)irr>(TF)rev

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