What is the effect of increasing the pressure of a gas at constant volume on its

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Question: What is the effect of increasing the pressure of a gas at constant volume on its RMS speed?

Options:

Correct Answer: Increases RMS speed

Solution:

At constant volume, increasing pressure increases the temperature of the gas, which in turn increases the RMS speed.

What is the effect of increasing the pressure of a gas at constant volume on its RMS speed?

What is the effect of increasing the pressure of a gas at constant volume on its RMS speed?

Step 1: Understand that RMS speed refers to the root mean square speed of gas molecules.
Step 2: Recognize that pressure, volume, and temperature are related in a gas (this is described by the ideal gas law).
Step 3: Note that in this scenario, the volume of the gas is kept constant.
Step 4: When pressure increases at constant volume, it means that the gas molecules are colliding with the walls of the container more frequently and with greater force.
Step 5: This increase in pressure indicates that the temperature of the gas must also increase (according to the ideal gas law).
Step 6: Higher temperature means that the gas molecules have more energy and move faster.
Step 7: Since RMS speed is related to the average speed of the gas molecules, an increase in temperature leads to an increase in RMS speed.

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