Finding the Temperature at which Oxygen Molecules Have Double the RMS Speed

Thread starter Ry122
Start date Oct 18, 2007
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Formula Velocity

AI Thread Summary

To determine the temperature at which oxygen molecules have double the root mean square (RMS) speed compared to their speed at 0 degrees Celsius, it is essential to convert 0 degrees Celsius to Kelvin, which is 273.15 K. The RMS speed formula, 1/2mv^2 = 3/2KT, indicates that temperature is measured in Kelvin. The discussion highlights confusion regarding the interpretation of 0 degrees and the need for proper unit conversion. Solving for the new temperature requires understanding the relationship between temperature and molecular speed. Accurate calculations are crucial for determining the correct temperature at which the desired RMS speed is achieved.

Oct 18, 2007

Ry122

Problem:
At what temperature do oxygen molecules have an rms speed that is double their speed at 0 degrees?
Using 1/2mv^2 = 3/2KT I am unable to solve for v since T is 0. Is there another way to do this?

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Oct 19, 2007

cristo

Staff Emeritus

Science Advisor

Are you sure it doesn't mean 0 degrees celcius? In that formula, temperature is measured in Kelvin.

Last edited: Oct 19, 2007

Oct 19, 2007

Ry122

i had to convert 0 degrees to kelvin
thanks

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