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JEE Main202228 Jun 2022Evening ShiftPhysicsKinetic Theory of GasesActual

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

Options

  1. AThe velocity of atomic oxygen remains same
  2. BThe velocity of atomic oxygen doubles
  3. CThe velocity of atomic oxygen becomes half
  4. DThe velocity of atomic oxygen becomes four times

Correct answer

B. The velocity of atomic oxygen doubles

Step-by-step solution

The RMS velocity of a gas is given by, v R M S = 3 R T M When O 2 dissociates into O its molecular mass becomes M 2 . Therefore, Ratio of RMS speed, v 1 v 2 = T 1 T 2 × M 2 M 1 ⇒ v 1 v 2 = T 2 T × M / 2 M ⇒ v 2 v 1 = 2

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