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The only form of energy possessed by "molecules" of a monatomic ideal gas is translational kinetic energy. Using the results from the discussion of kinetic theory, show that the internal energy of a monatomic ideal gas at pressure P and occupying volume V may be written as U = (3/2)PV.

 

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Ankit Lal
Ankit LalLv10
5 Mar 2021

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

1. The ideal gas law is given as PV = nRT, where n is the number ofmoles of gas (1 mole = 6.02 * 10^23 molecules) and R is theuniversal gas constant (R = 8.31 J/mol-k). Explain why the productof pressure and volume is constant in an isothermal process.Explain why the ratio of pressure and temperature is constant in anisovolumetric process.

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4. Based on the kinetic theory definition of temperature as theaverage kinetic energy of a molecule in an ideal gas and youranswer to question 1, explain why the pressure of a gas increaseswhen its temperature is increased while its volume is keptconstant.

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