Calculating O2 Molecule Velocity at -50C

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To calculate the velocity of an oxygen molecule at -50C, the equation 1/2mC^2=3/2kT is used, where the mass of the O2 molecule is 5.4x10^-26 kg. The initial calculation resulted in a negative value for c^2, indicating an error in the temperature input. The correct approach requires using the absolute temperature in Kelvin, which is 223.15 K instead of -50C. This adjustment resolves the negative value issue and allows for a proper calculation of the molecule's velocity. Accurate temperature conversion is crucial for obtaining valid results in such calculations.
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Homework Statement


Calculate Velocity of an oxygen molecule at height, where the temperature is -50C.
O2 molecule: 5.4x10^-26 kg


Homework Equations


1/2mC^2=3/2kT


The Attempt at a Solution


=> 1/2 (5.4x10^-26) c^2 = 3/2 (1.38x10^-23) x -(50)
=> c2= 1.035x10^-21
=>c=3.21x10^-11 m/s

ermmi have a feeling that i messed somewhere lol.
 
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ibysaiyan said:

The Attempt at a Solution


=> 1/2 (5.4x10^-26) c^2 = 3/2 (1.38x10^-23) x -(50)
=> c2= 1.035x10^-21
Try that step again. Also, note that you get a negative value for c2, another clue that something is wrong.
 
OOhh.. i thought iT being a big negative value would be wrong..
is this what i did wrong
-1.035x10^-21/2.7x10^-26=-38.3x10^3m/s
but it can't be square root =? as its negative
 
Last edited:
That's a little better, but yes that negative is still a problem.

If I told you not to use -50 for the temperature, even though the temperature is -50 C, does that help?
 
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