As a sample of nitrogen gas (N2) undergoes a temperature increase at constant volume

Chapter 20, Problem 51

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As a sample of nitrogen gas (N2) undergoes a temperature increase at constant volume, the distribution of molecular speeds increases. That is, the probability distribution function P(v) for the molecules spreads to higher speed values, as suggested in Fig. 19-8b. One way to report the spread in P(v) is to measure the difference v between the most probable speed vP and the rms speed vrms. When P(v) spreads to higher speeds, v increases. Assume that the gas is ideal and the N2 molecules rotate but do not oscillate. For 1.5 mol, an initial temperature of 250 K, and a final temperature of 500 K, what are (a) the initial difference vi , (b) the final difference vf, and (c) the entropy change S for the gas?

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