Question

The correct relationship between average translational kinetic energy per mole (KE) and most probable speed $\left(v_{m p}\right)$ for an ideal gas is : (M is molar mass of gas)

(A) $v_{m p}=\sqrt{\frac{16 K E}{3 \pi M}}$

(B) $v_{m p}=\sqrt{\frac{2 K E}{M}}$

(C) $v_{m p}=\sqrt{\frac{2 K E}{3 M}}$

(D) $v_{m p}=\sqrt{\frac{4 K E}{3 M}}$

Answer 1

The correct relationship between average translational kinetic energy per mole (KE) and most probable speed $\left(v_{m p}\right)$ for an ideal gas is $v_{m p}=\sqrt{\frac{4 K E}{3 M}}$.

So, The correct option of this question is will be (D).