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If the collision frequency of hydrogen molecules in a closed chamber at 27°C is Z, then the collision frequency of the same system at 127° C is:

1. √3/2 Z
2. 4/3 Z
3. 2/√3 Z
4. 3/4 Z

Correct answer: 2/√3 Z

Solution

The collision frequency of gas molecules is proportional to the square root of the temperature in Kelvin. By converting the temperatures from Celsius to Kelvin and applying the formula, we find that the collision frequency at 127°C is 2/√3 times that at 27°C.

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