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An automobile tire contains air at 320 kPa total pressure and 20◦C. The valve stem is...

An automobile tire contains air at 320 kPa total pressure and 20◦C. The valve stem is removed and the air is allowed to expand adiabatically against the constant external pressure of 100 kPa until the pressure is the same inside and out. The molar heat capacity of air is Cv/n = 5/2R; the air may be considered an ideal gas. Calculate the finaltemperature of the gas in the tire, ∆U, and ∆H per mole of gas in the tire.

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