An automobile tire contains 0.038 m² of air at a gauge pressure of 2.41 × 10³ 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?Emt,2 - Ent,1J

For diatomic gas Number of degree of freedom= 5 So internal energy of one mole gas = (5/2) RT

Answered: An automobile tire contains 0.038 m³ of…

An automobile tire contains 0.038 m³ of air at a gauge pressure of 2.41 × 105 N/m². The composition of air is about 78% nitrogen (N2) 1 21% oxygen (O2), both diatomic molecules.

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Concept explainers

Maxwell speed distribution

Maxwell-Boltzmann distribution or commonly known as Maxwell speed distribution, explains the division of the energy levels of the molecules of an ideal gas on the basis of the statistical theory. In 1859, Scottish physicist James Clerk Maxwell established the context for the distribution of molecular velocities for random molecules moving in a closed environment. This theory was generalized in 1871 by German physicist Ludwig Boltzmann. He improvised the theory to express the distribution of energy levels among different molecules.

Question

An automobile tire contains 0.038 m² of air at a gauge pressure of 2.41 × 10³ 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?
Emt,2 - Ent,1
J

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