Question:medium
If the rms speed of the molecules of a gas at a temperature of 77 $^\circ$C is 50 ms$^{-1}>$, then the rms speed of the same gas molecules at a temperature of 150.5 $^\circ$C is
If the rms speed of the molecules of a gas at a temperature of 77 $^\circ$C is 50 ms$^{-1}>$, then the rms speed of the same gas molecules at a temperature of 150.5 $^\circ$C is
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In kinetic theory of gases, always use absolute temperature (Kelvin). The rms speed $v_{rms}$ is proportional to $\sqrt{T}$. For ratio-based problems, this proportionality is all you need: $\frac{v_2}{v_1} = \sqrt{\frac{T_2}{T_1}}$.
Updated On: Mar 30, 2026
- 65 ms$^{-1}$
- 35 ms$^{-1}$
- 55 ms$^{-1}$
- 45 ms$^{-1}$
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The Correct Option is C
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