Solution Found!
An ideal gas is kept in a container of constant volume.
Chapter 17, Problem 30P(choose chapter or problem)
Problem 30P
An ideal gas is kept in a container of constant volume. The pressure of the gas is also kept constant, (a) If the number
of molecules in the gas is doubled, does the rms speed increase, decrease, or stay the same? Explain, (b) If the initial rms speed is 1300 m/s, what is the final rms speed?
Questions & Answers
QUESTION:
Problem 30P
An ideal gas is kept in a container of constant volume. The pressure of the gas is also kept constant, (a) If the number
of molecules in the gas is doubled, does the rms speed increase, decrease, or stay the same? Explain, (b) If the initial rms speed is 1300 m/s, what is the final rms speed?
ANSWER:
Step 1 of 3
a) The rms speed is given by the following equation
it is true that the rms speed doesn't directly depend on the number of moles, however, is directly proportional to the square root of the temperature and the temperature depends on the number of moles as we can see from the ideal gas law. So, let's use the ideal gas law to see what happens to the temperature when the number of moles doubles while the pressure and the volume stay constant.