The root mean square speed of the molecules of a gas is proportional to ___. [T = Absolute temperature of gas]

Question 77 of 90

Q. The root mean square speed of the molecules of a gas is proportional to _____. [T = Absolute temperature of gas]

(a)

\sqrt{T}

(b)

1/\sqrt{T}

(c)

T

(d)

1/T

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From kinetic theory, mean-square speed ∝ T, so rms speed ∝ √T.

From kinetic theory, $\dfrac{1}{2}m\langle c^2\rangle = \dfrac{3}{2}k_BT$ , so $\langle c^2 \rangle \propto T$ and: …

Q.The root mean square speed of the molecules of a gas is proportional to _____. [T = Absolute temperature of gas]