3: Consider molecules of hydrogen (tiny ones) and oxygen (bigger ones) in a gas mixture. If they have the same average kinetic energy (they will at the same temperature), which molecules have the greatest average speed

Respuesta :

Answer: Hydrogen molecules will have greatest average speed.

Explanation:

The formula for average speed is  :

[tex]\mu_{av}={\sqrt{\frac{8RT}{\pi\times M}}}[/tex]

R = gas constant  

T = temperature  

M = Molecular Mass

Now putting all the values:

[tex]\frac{\nu_{H_2}}{\nu_{O_2}}=\sqrt{\frac{8RT}{\pi\times M_{H_2}}}/{\sqrt{\frac{8RT}{\pi\times M_{O_2}}}[/tex]

[tex]\frac{\nu_{H_2}}{\nu_{O_2}}=\sqrt{\frac{16}{2}}[/tex]

[tex]\frac{\nu_{av}_{H_2}}{\nu_{av}_{O_2}}=8[/tex]

Thus average speed of hydrogen is 8 times the average speed of oxygen. Thus hydrogen molecules will have greatest average speed