An SUV tire contains 0.037 m3 of air at a gauge pressure of 2.61 × 105 N/m2. The composition of air is about 78% nitrogen (N2) and 21% oxygen (O2), both diatomic molecules. How much more internal energy, in joules, does the air in the tire have than the same volume of air has at zero gauge pressure outside the tire?

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Chapter21: The Kinetic Theory Of Gases
Section: Chapter Questions
Problem 21.65AP: A sample of a monatomic ideal gas occupies 5.00 L at atmospheric pressure and 300 K (point A in Fig....
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 An SUV tire contains 0.037 m3 of air at a gauge pressure of 2.61 × 105 N/m2. The composition of air is about 78% nitrogen (N2) and 21% oxygen (O2), both diatomic molecules.

How much more internal energy, in joules, does the air in the tire have than the same volume of air has at zero gauge pressure outside the tire? 

Einternal,2−Einternal,1 = ?   

Hints: 

-Assume not only equal volumes but also equal temperatures.
-Since the temperature is constant, what must be changing in this process?
-The heat capacity, and thus the internal energy, depends upon whether gas is monatomic or diatomic.

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