I need the circled ones done plesae with work and an explanation please! Thanks!

Question

I need the circled ones done plesae with work and an explanation please!

Thanks!

Numbers 3,4a and 4b, then 5a, 5b, and 5c.

12.2 The Atomic Model of an Ideal Gas ith solids and liquids, are very compressible. What can you infer from this observation about the microscopic nature of gases? 4 If you double the temperature of a gas a. Does the root-mean-square speed of the atoms increase by a factor of oes the root-mean-square speed of the atoms increase by a factor of (2)2,2, or 22 Explain. the average kinetic energy of the atoms increase by a factor of (2)12,2, or 2 Explain. 5, Suppose you could suddenly increase the speed of every atom in a gas by a factor of 2 a. Would the rms speed of the atoms increase by a factor of (2)12,2, or 222 Explain b. Would the thermal energy of the gas increase by a factor of (2)17, 2, or 22 Explain. c. Would the temperature of the gas increase by a factor of (2)12, 2, or 22? Explain.

Explanation / Answer

4

a)

RMS speed is given as

vrms = sqrt(3kT/m)

hence doubling the temperature makes the rms speed sqrt(2) times or 21/2 times

b)

average Kinetic energy is given as

KEavg = 3kT/2

hence doubling the temperature T makes the average kinetic energy increase by a factor of "2"

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