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lys-0071 [83]
2 years ago
11

From what height must an oxygen molecule fall in a vacuum so that its kinetic energy at the bottom equals the average energy of

an oxygen molecule at 300 K ?
Physics
1 answer:
alexandr1967 [171]2 years ago
4 0

Answer:

The  value is  h  = 11930 \ m

Explanation:

From the question we are told that

    The  temperature is  T  =  300 \  K

     

Generally the root mean square speed of the  oxygen molecules is mathematically represented as

        v  =  \sqrt{\frac{3 *  R  *  T }{M} }  =  \sqrt{ 2 *  g  *  h }

Here  R is the gas constant with a value  R  =  8.314 \  J\cdot K^{-1} \cdot \  mol^{-1}

    M  is the molar mass of oxygen molecule with value M  =  0.032 \  kg /mol

So  

     \frac{3 *  8.314   *  300 }{0.032}   =  2 *  9.8  *  h

=>    h  = 11930 \ m

   

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Consider velocity to the right as positive.

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Because momentum of the system is preserved, therefore
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