Calculating O2 Molecule Velocity at -50C

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Homework Help Overview

The problem involves calculating the velocity of an oxygen molecule at a temperature of -50°C, with a given mass for the molecule. The context is rooted in kinetic theory and thermodynamics.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of the kinetic energy equation and question the use of negative temperature in calculations. There is an exploration of the implications of obtaining a negative value for the squared velocity.

Discussion Status

Some participants are attempting to clarify the calculations and the implications of the temperature value. There is recognition of a potential misunderstanding regarding the temperature's representation in the formula, and guidance has been offered to reconsider the temperature value used in the calculations.

Contextual Notes

Participants are navigating the challenge of using a negative temperature in the kinetic energy equation, which may not align with the physical context of the problem.

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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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