States of Matter and Gaseous StatemediumCOMPREHENSIVE

At what temperature, the velocity distribution function for the oxygen molecules will have maximum vStates of Matter and Gaseous State Chemistry Question

Question

At what temperature, the velocity distribution function for the oxygen molecules will have maximum value at the speed 400 m/s?

Answer: B

💡 Solution & Explanation

Peak is most probable speed $u_{mp} = \sqrt{2RT/M} = 400$. $160000 = 2 \times 8 \times T / 0.032 \implies T = 320 \text{ K} = 47^\circ\text{C}$. Therefore, correct answer is B.

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