Question

What will be the effect on the root mean square velocity of oxygen molecules if the temperature is doubled and the oxygen molecule dissociates into atomic oxygen?

Options

• The velocity of atomic oxygen remains the same.

• The velocity of atomic oxygen doubles.

• The velocity of atomic oxygen becomes half.

• The velocity of atomic oxygen becomes four times.

Answer 1

The velocity of atomic oxygen doubles.

Explanation:

v_rms = `sqrt((3"RT")/"M"_0)`; v_rms ∝ `sqrt("T"/"M"_0)`

as, T becomes double and M₀ becomes half

So, v_rms will become `sqrt4` times i.e. 2 times.