Determine whether or not oxygen can exist on the planet

[thereddevils]

Homework Statement

The escape velocity of Mars is 5 x 10 ^3 m/s . If the temperature of Mars is 300K , determine whether or not oxygen can exist on the planet . (Molecular mass of oxygen is 32 g/mol)

Homework Equations

The Attempt at a Solution

Using p=1/3 rho <c^2>

p= 1/3 (M/V) <c^2>

pV=1/3 M <c^2> ---1

Then using pV=nRT

pV=2(8.31)(300) since there are 2 moles of oxygen ,

pV=4986

Put this into 1

4986=1/3 (32) <c^2>

<c^2>= 467.44 m/s

Since the mean square speed is lesser than the escape velocity , oxygen exist .

Am i correct ?

 

[ehild]

3.

Using p=1/3 rho <c^2>

What is rho?

pV=2(8.31)(300) since there are 2 moles of oxygen ,

What do you mean with that? Where are 2 moles of oxygen? On the entire Mars?



ehild