At what temperature will the RMS speed of a gas be 600 m/s if its molar mass is 0.02 kg/mol?
Practice Questions
1 question
Q1
At what temperature will the RMS speed of a gas be 600 m/s if its molar mass is 0.02 kg/mol?
300 K
600 K
900 K
1200 K
Using v_rms = sqrt(3RT/M), we can rearrange to find T = (v_rms^2 * M) / (3R). Plugging in values gives T = (600^2 * 0.02) / (3 * 8.314) = 900 K.
Questions & Step-by-step Solutions
1 item
Q
Q: At what temperature will the RMS speed of a gas be 600 m/s if its molar mass is 0.02 kg/mol?
Solution: Using v_rms = sqrt(3RT/M), we can rearrange to find T = (v_rms^2 * M) / (3R). Plugging in values gives T = (600^2 * 0.02) / (3 * 8.314) = 900 K.
Steps: 8
Step 1: Write down the formula for RMS speed: v_rms = sqrt(3RT/M).
Step 2: Rearrange the formula to solve for temperature (T): T = (v_rms^2 * M) / (3R).
Step 3: Identify the values needed: v_rms = 600 m/s, M = 0.02 kg/mol, and R = 8.314 J/(mol·K).
