For a monoatomic ideal gas, the RMS speed is given by which of the following expressions?
Practice Questions
1 question
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
Both expressions are valid for calculating the RMS speed of a monoatomic ideal gas.
Questions & Step-by-step Solutions
1 item
Q
Q: For a monoatomic ideal gas, the RMS speed is given by which of the following expressions?
Solution: Both expressions are valid for calculating the RMS speed of a monoatomic ideal gas.
Steps: 4
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.
