Temperature and Kinetic Energy question

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SUMMARY

The discussion focuses on calculating the average speed of oxygen molecules given a pressure of 2.0 x 106 Pa and a density of 4.0 x 10-3 g cm-3. The relevant equations include the kinetic energy formula Ek = 3/2kT and Ek = 1/2mv2. The mass of an individual oxygen molecule is determined to be 5.3 x 10-26 kg. The user is advised to treat the sample as an ideal gas and to note that average speed cannot be derived directly from average kinetic energy.

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Homework Statement


At a certain temperature a sample of oxygen has a pressure of 2.0 x 10^6 Pa, and a density of 4.0 x 10^-3 g cm^-3. Find the average speed of the oxygen molecules of the gas.

Homework Equations



Ek= 3/2kT
Ek= 1/2mv^2


The Attempt at a Solution


I know that the mass of oxygen is 32 g per mole so with this i could find the mass of an individual molecule= 32 g/ 6.02 x 10^23 g
=5.3 x 10^-26 kg
I know P= 2.0 x 10^6 Pa

I just don't understand what to do with the density? can somebody please help me, any help would be much aprpeciated:)
Thankyou!
 
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I think you should assume that the sample is an ideal gas.
 
You can't compute the average speed form the average kinetic energy, as that would yield the the average of squared velocity and then taking the squre root does not give you the average of the absolute value (modulus) of the velocity.
 

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