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For a gas with molar mass M, what is the RMS speed at 300 K?
For a gas with molar mass M, what is the RMS speed at 300 K?
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Practice Questions
1 question
Q1
For a gas with molar mass M, what is the RMS speed at 300 K?
sqrt(3RT/M)
sqrt(2RT/M)
RT/M
3RT/M
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The RMS speed is calculated using v_rms = sqrt(3RT/M). At 300 K, you can substitute R and M to find the specific value.
Questions & Step-by-step Solutions
1 item
Q
Q: For a gas with molar mass M, what is the RMS speed at 300 K?
Solution:
The RMS speed is calculated using v_rms = sqrt(3RT/M). At 300 K, you can substitute R and M to find the specific value.
Steps: 6
Show Steps
Step 1: Identify the formula for RMS speed, which is v_rms = sqrt(3RT/M).
Step 2: Understand that R is the universal gas constant, which is approximately 8.314 J/(mol·K).
Step 3: Recognize that M is the molar mass of the gas in kg/mol.
Step 4: Set the temperature T to 300 K in the formula.
Step 5: Substitute the values of R and M into the formula: v_rms = sqrt(3 * 8.314 * 300 / M).
Step 6: Calculate the value inside the square root to find v_rms.
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