Question: For a monoatomic ideal gas, the RMS speed is given by which of the following expressions?
Options:
sqrt((3kT)/m)
sqrt((3RT)/M)
Both of the above
None of the above
Correct Answer: Both of the above
Solution:
Both expressions are valid for calculating the RMS speed of a monoatomic ideal gas.
For a monoatomic ideal gas, the RMS speed is given by which of the following exp
Practice Questions
Q1
For a monoatomic ideal gas, the RMS speed is given by which of the following expressions?
sqrt((3kT)/m)
sqrt((3RT)/M)
Both of the above
None of the above
Questions & Step-by-Step Solutions
For a monoatomic ideal gas, the RMS speed is given by which of the following expressions?
Step 1: Understand what RMS speed means. RMS stands for Root Mean Square, which is a way to calculate the average speed of gas particles.
Step 2: Know that for a monoatomic ideal gas, the RMS speed can be calculated using the formula: v_rms = sqrt(3kT/m), where k is the Boltzmann constant, T is the temperature in Kelvin, and m is the mass of a gas particle.
Step 3: Another formula for RMS speed is v_rms = sqrt(3RT/M), where R is the universal gas constant, T is the temperature in Kelvin, and M is the molar mass of the gas.
Step 4: Recognize that both formulas are valid and can be used to find the RMS speed of a monoatomic ideal gas depending on the information available.
RMS Speed of Gases – The root mean square (RMS) speed of a gas is a measure of the average speed of particles in a gas, calculated using the formula derived from kinetic theory.
Monoatomic Ideal Gas – A monoatomic ideal gas consists of single atoms and follows the ideal gas law, where interactions between particles are negligible.
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