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Question

# Which of the following statements is (are) true?

A
The ratio of the average speed to the rms speed is independent of the temperature
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B
The square of the mean squared speed of the molecule is equal to the mean square speed at a certain temperature
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C
Mean kinetic energy of the gas molecules at any given temperature is independent of the mean speed
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D
The difference between rms speed and average speed at any temperature for different gases diminished as large molar masses are considered
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Solution

## The correct options are A The ratio of the average speed to the rms speed is independent of the temperature C Mean kinetic energy of the gas molecules at any given temperature is independent of the mean speed D The difference between rms speed and average speed at any temperature for different gases diminished as large molar masses are consideredWe know,URMS=√3RTMUavg=√8RTMUMP=√2RTMSeeing these equations we can conclude that,The ratio of the average speed to the RMS speed is independent of the temperature.Mean kinetic energy of the gas molecules at any given temperature is independent of the mean speed.The difference between RMS speed and average speed at any temperature for different gases diminished as large molar masses are considered

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