Correct Answer - Option 2 : v
rms ∝ √T
The correct answer is option 2) i.e. vrms ∝ √T
CONCEPT:
-
Root-mean-square (rms) speed: The root-mean-square speed is a measure of the speed of gas molecules taking into account their molecular weight and temperature.
- It is defined as the square root of the average velocity-squared of the gas molecules.
It is given by the equation:
\(v_{rms} = \sqrt{\frac{3 RT}{M}}\)
Where R is the universal gas constant = 8.314 J mol-1 K-1, T is the temperature of the gas and M is the molecular mass of gas.
EXPLANATION:
We know that, \(v_{rms} = \sqrt{\frac{3 RT}{M}}\)
∴ vrms ∝ √T
