What is the effect of increasing the pressure of a gas at constant temperature o

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

Options:

Correct Answer: No effect on RMS speed

Solution:

At constant temperature, increasing pressure does not affect the RMS speed, as it is dependent on temperature and molar mass.

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

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

Step 1: Understand what RMS speed is. RMS speed stands for Root Mean Square speed, which is a measure of the average speed of gas particles.
Step 2: Know that RMS speed depends on temperature and molar mass of the gas. The formula for RMS speed is v_rms = sqrt(3RT/M), where R is the gas constant, T is the temperature, and M is the molar mass.
Step 3: Recognize that pressure is related to the number of gas particles and their speed, but at constant temperature, the average kinetic energy of the gas particles remains the same.
Step 4: Realize that increasing pressure at constant temperature means that the volume of the gas decreases, but the temperature does not change.
Step 5: Conclude that since temperature is constant, the RMS speed of the gas particles does not change when pressure increases.

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