Answer:
The value is [tex]h = 11930 \ m[/tex]
Explanation:
From the question we are told that
The temperature is [tex]T = 300 \ K[/tex]
Generally the root mean square speed of the oxygen molecules is mathematically represented as
[tex]v = \sqrt{\frac{3 * R * T }{M} } = \sqrt{ 2 * g * h }[/tex]
Here R is the gas constant with a value [tex]R = 8.314 \ J\cdot K^{-1} \cdot \ mol^{-1}[/tex]
M is the molar mass of oxygen molecule with value [tex]M = 0.032 \ kg /mol[/tex]
So
[tex]\frac{3 * 8.314 * 300 }{0.032} = 2 * 9.8 * h[/tex]
=> [tex]h = 11930 \ m[/tex]
