For a given gas at 800 K, the rms speed of the ‘ molecules is(A) fou

1.	For a given gas at 800 K, the rms speed of the ‘ molecules is(A) four times the rms speed at 200 K (B) half the rms speed at 200 K (C) twice the rms speed at 200 K (D) twice the rms speed at 400 K.
Answer» Correct Option is (C) twice the rms speed at 200 K We know that , \(V_{rms} = \sqrt \frac{3RT}{M}\) \(V_1 \propto \sqrt{T_1}\) \(\frac{V_2}{V_1} = \sqrt \frac{800}{200}\) \(V_2 = 2V_1\) (C) twice the rms speed at 200 K

For a given gas at 800 K, the rms speed of the ‘ molecules is(A) four times the rms speed at 200 K (B) half the rms speed at 200 K (C) twice the rms speed at 200 K (D) twice the rms speed at 400 K.

Answer»

Correct Option is (C) twice the rms speed at 200 K

We know that ,

\(V_{rms} = \sqrt \frac{3RT}{M}\)

\(V_1 \propto \sqrt{T_1}\)

\(\frac{V_2}{V_1} = \sqrt \frac{800}{200}\)

\(V_2 = 2V_1\)