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Tamil Nadu Board of Secondary EducationHSC Science Class 11

A gas made of a mixture of 2 moles of oxygen and 4 moles of argon at temperature T. Calculate the energy of the gas in terms of RT. Neglect the vibrational modes.

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Question

A gas made of a mixture of 2 moles of oxygen and 4 moles of argon at temperature T. Calculate the energy of the gas in terms of RT. Neglect the vibrational modes.

Numerical
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Solution

For two moles of diatomic nitrogen with no vibrational mode,

U1 = `2 xx 5/2 "RT"` = 5 RT

For four mole of monatomic argon,

U2 = `4 xx 3/2 "RT"` = 6 RT

Total energy of the gas, U = U1 + U2

= 5 RT + 6 RT

U = 11 RT

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Chapter 9: Kinetic Theory of Gases - Evaluation [Page 186]

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Samacheer Kalvi Physics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 9 Kinetic Theory of Gases
Evaluation | Q IV. 8. | Page 186

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