If the temperature of a gas is increased from 200 K to 800 K, how does the RMS s

If the temperature of a gas is increased from 200 K to 800 K, how does the RMS speed change?

If the temperature of a gas is increased from 200 K to 800 K, how does the RMS speed change?

Step 1: Understand that RMS speed (v_rms) of a gas is related to its temperature (T).
Step 2: Know the formula that relates RMS speed to temperature: v_rms is proportional to the square root of temperature (v_rms ∝ √T).
Step 3: Identify the initial temperature (T1) as 200 K and the final temperature (T2) as 800 K.
Step 4: Calculate the ratio of the final temperature to the initial temperature: T2 / T1 = 800 K / 200 K = 4.
Step 5: Since v_rms is proportional to the square root of temperature, find the square root of the ratio: √(T2 / T1) = √4 = 2.
Step 6: Conclude that the RMS speed increases by a factor of 2 when the temperature increases from 200 K to 800 K.

No concepts available.