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At what temperature the rms velocity of gas shown at $50^{\circ} \mathrm{c}$ will be doubled? (a) $626 \mathrm{~K}$ (b) $1019^{\circ} \mathrm{C}$ (c) $218 \mathrm{~K}$ (d) $1019 \mathrm{~K}$
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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