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At what temperature will the root mean square speed of oxygen molecules be double its value at $27^{\circ}\text{C}$?
- A.$54^{\circ}\text{C}$
- B.$108^{\circ}\text{C}$
- C.$927^{\circ}\text{C}$
- D.$1200^{\circ}\text{C}$
Show correct answer & step-by-step solution
Correct answer: C — $927^{\circ}\text{C}$
Solution
Since , doubling the speed requires the temperature to increase by a factor of . Converting to , the new temperature is , which is .
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