A gas mixture contains 2 moles of Oxygen and 4 moles of Argon at temperature T. Neglecting all vibrational moles, the total internal energy of the system is:

Correct answer: A. 11RT

  • A. 11RT
  • B. 4RT
  • C. 5RT
  • D. 7RT

Explanation

The formula of internal energy is U = (nRTf)/ 2where n = number of moles of the gas, f = number of degree of freedom.Keep in mind that: for monoatomic gas, f = 3 and for diatomic gas, f = 5.The internal energy of 2 moles of oxygen (diatomic gas) = U O2UO2 = (2 x 5 x RT)/ 2UO2 = 5RTThe internal energy of 4 moles of Argon (monoatomic gas) = UArUAr = (4 x 3 x RT)/2UAr = 6RTHence, the total energy is:U = UO2+UArU = 5RT+ 6RT = 11RT.

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About Thermochemistry and Energetics of Chemical Reactions

Thermochemistry measures energy changes in chemical reactions and distinguishes exothermic from endothermic processes. Work covers systems, surroundings and state functions, internal energy, the first law of thermodynamics, enthalpy and Hess's law, including the sign conventions used when heat enters or leaves a system.

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