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Question

Which of the following statements is not true?

A
The ratio of the mean speed to the RMS speed is independent of the temperature
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B
The square of the mean speed of the molecules is equal to the mean squared speed at 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 mean speed at any temperature for different gases diminishes as larger and larger molar masses are considered
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Solution

The correct option is B The square of the mean speed of the molecules is equal to the mean squared speed at certain temperature
The square of the mean speed of the molecules is not equal to the mean squared speed at a certain temperature.

The square of the mean speed of the molecules is (C1+C2+C3+....Cnn)2.

The mean squared speed is C21+C22+C23+....C2nn.

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