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SpyIntel [72]
3 years ago
12

Oxygen and hydrogen are kept under the same temperature and pressure. Oxygen molecule is 16 times more massive than hydrogen one

. The average speed of molecule of oxygen is:______.
Physics
1 answer:
olya-2409 [2.1K]3 years ago
7 0

Answer:

The average speed of molecule of oxygen is one-fourth of the speed of the hydrogen molecule.

Explanation:

The kinetic energy of gas molecule is given by following equation:

K.E = \frac{3}{2} KT

Since the temperature (T) is constant for both molecules. Therefore, there kinetic energies will also be the same. Therefore,

K.E_{O_2} = K.E_{H_2}\\\frac{1}{2}m_{O_2}v_{O_2}^2 =  \frac{1}{2}m_{H_2}v_{H_2}^2 \\\\but,\\\\m_{O_2} = 16m_{H_2}\\\\therefore,\\16 m_{H_2}v_{O_2}^2 = m_{H_2}v_{H_2}^2\\\\\\taking square root on both sides, we get:\\4v_{O_2} = v_{H_2}\\\\v_{O_2} = \frac{v_{H_2}}{4}

<u>The average speed of molecule of oxygen is one-fourth of the speed of the hydrogen molecule.</u>

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