(II) Show that the rms speed of molecules in a gas is given by where P is the pressure

Chapter 13, Problem 53P

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QUESTION:

(II) Show that the rms speed of molecules in a gas is given by rms = where P is the pressure in the gas and  is the gas density.

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QUESTION:

(II) Show that the rms speed of molecules in a gas is given by rms = where P is the pressure in the gas and  is the gas density.

ANSWER:

Solution 53P

Step 1 of 3

Here we have to show that rms speed value is equal to .

Where is the pressure, is the density.

  • From ideal gas laws, we know that

                                                

Where , and are pressure , volume and temperature respectively, N is number of molecules and K is constant.

        

                                                ………...1

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