If the pressure of a gas is doubled while its volume is held constant, by what factor

Chapter 13, Problem 52P

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QUESTION:

Problem 52P

If the pressure of a gas is doubled while its volume is held constant, by what factor does vrmschange?

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QUESTION:

Problem 52P

If the pressure of a gas is doubled while its volume is held constant, by what factor does vrmschange?

ANSWER:

Solution 52P

Step 1 of 2

Here we have to calculate the factor by which rms speed value changes when we double the pressure by keeping the volume constant.

From ideal gas laws, we know that when volume is held constant, temperature is directly proportional to volume.

Ideal gas law,                                

Where , and are pressure , volume and temperature respectively, n is number of moles and R is constant.

                                        

Since

                                        ………..1

Therefore,if we have to double the pressure in the given case,we have to double the temperature.

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