CALC (a) Explain why in a gas of N molecules, the number

Chapter 18, Problem 18.87

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CALC (a) Explain why in a gas of N molecules, the number of molecules having speeds in the finite interval to is (b) If is small, then is approximately constant over the interval and For oxygen gas at use this approximation to calculate the number of molecules with speeds within of Express your answer as a multiple of N. (c) Repeat part (b) for speeds within of (d) Repeat parts (b) and (c) for a temperature of (e) Repeat parts (b) and (c) for a temperature of (f) What do your results tell you about the shape of the distribution as a function of temperature? Do your conclusions agree with what is shown in Fig. 18.23?

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