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For a given at 1 atm pressure, rms speed of the molecules is 200 m/s at 127°C. At 2 atm pressure and at 227°C, the rms speed of the molecules will be-
- 100 m/s
- 80√5 m/s
- 100√5 m/s
- 80 m/s
Correct answer: 100√5 m/s
Solution
The root mean square (rms) speed of gas molecules is proportional to the square root of the temperature divided by the molar mass and inversely proportional to the square root of the pressure. By applying the ideal gas law and the relationship between temperature and pressure, we can determine that at 2 atm and 227°C, the rms speed is 100√5 m/s.
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