$υ_{a v}, υ_{m s} a n d υ_{m p}$ are average speed, root mean square speed and most probable speed of the gas respectively at constant temperature T. Molar mass of the gas is ‘m’. Then:

see full answer

Take the SCORE scholarship exam from home and compete for scholarships worth ₹1 crore!*

An Intiative by Sri Chaitanya

$υ_{m p} < υ_{a v} < υ_{r m s}$

The average kinetic energy of a molecule is $\frac{3}{4} m υ_{m p}^{2}$

No molecules can have a speed less than

No molecules can have a speed greater than $\sqrt{2} υ_{r m s}$

answer is C, D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

$υ_{m p} < υ_{a v} < υ_{r m s}; υ_{m p} = \sqrt{\frac{2 R T}{m}}; υ_{m p}^{2} = \frac{2 R T}{m}$

$\frac{3}{4} m υ_{m p}^{2} = \frac{3}{2} R T = Kinetic energy of gas molecule (per mol)$

Watch 3-min video & get full concept clarity