At what temperature, the rms velocity of gas shown at 50⁰C will be doubled

At What Temperature The Rms Velocity Of Gas Shown At Chemistry QuestionAt What Temperature The Rms Velocity Of Gas Shown At Chemistry Question

At what temperature, the rms velocity of gas shown at 50⁰C will be doubled

Options

(a) 626 K
(b) 1019 K
(c) 200⁰C
(d) 1019⁰C

Correct Answer:

1019⁰C

Explanation:

C(rms) = √(3RT / M)
Where T is in Kelvin scale.
For rms velocity to be doubled, T in Kelvin scale must be raised 4 times. So it should be
4 × (50 + 273) = 1292 K = 1292 – 273 = 1019⁰C

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