Question

If Vh, Vn, V0 denote the root mean square velocities of molecules of hydrogen, nitrogen and oxygen respectively at a given temperature, then find the greater

Answer 1

The greater root mean square velocity is of Hydrogen

$\boxed{v_H>v_N>v_O}$

Explanation:

We know that root mean square velocity is given by

$v_{rms}=\sqrt{\frac{3RT}{M}}$

Where M is the molar mass

For all the gases at a given temperature, T will be constant

R is also a constant

Thus, we can say that

$v_{rms}\propto\frac{1}{\sqrt{M}}$

Molar mass of Hydrogen (H₂) = 2

Molar mass of Nitrogen (N₂) = 28

Molar mass of Oxygen (O₂) = 32

Since, the molar mass of Hydrogen is the least

Therefore, the root mean square velocity of Hydrogen will be the greatest

Thus, we can say that

$v_H>v_N>v_O$

Hope this answer is helpful.

Know More:

Q: What is ratio of root mean square velocity of H2 and N2 at same temperature?

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Answer 2

Answer:

Vh>Vn>Vo this is the correct answer