What is the internal energy u of one mole of air on a very hot summer day (35∘c)? express your answer numerically in joules to two significa

Question

What is the internal energy u of one mole of air on a very hot summer day (35∘c)? express your answer numerically in joules to two significant figures?

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2022-04-10T08:22:25+00:00 0 Answers 0

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  1. Valerie
    0
    2022-04-10T08:23:30+00:00

    – For solving this problem, we have to take in account the degree of freedom of air molecules.
    – As, molecules of air have five degrees of freedom (three translational and two rotational)
    – For each molecule, the kinetic energy of each degree of freedom = 1/2 KT
    – So, K.E of 1 molecule for 5 degrees of freedom = 5/2KT
    So, for molecules of air K.E = 5/2 KT = 5/2 x 1 x 1.38 x 10u207bu00b2u00b3 x 308 = 1062.6 x 10u207bu00b2u00b3 J
    1 mole of air contains 6.022 x 10u00b2u00b3 molecules

    K.E. of 1 mole = 1062.6 x 10u207bu00b2u00b3 x 6.022 x 10u00b2u00b3 = 6400 J

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