As a sample of nitrogen gas (N 2 ) undergoes a temperature increase at constant volume,

As a sample of nitrogen gas (N 2 ) undergoes a temperature increase at constant volume,

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 v_P and the rms speed v_rms. 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 ?v_i, (b) the final difference ?v_f, and (c) the entropy change ?_S for the gas?

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 v_P and the rms speed v_rms. 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 ?v_i, (b) the final difference ?v_f, and (c) the entropy change ?_S for the gas?

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