Answer to Question #179157 in Molecular Physics | Thermodynamics for Anand

Question

Calculate the probability that the speed of a chlorine molecule will lie between 200 m s^-1 and 220 m s^-1

at 300 K. Given that mass of chlorine molecule = 70u, k_B = 1.38 × 10^-23JK^-1 and NA = 6.02 × 1026 kmol

and N_A= 6.02×10²⁶ kmol⁻¹.

Answer 1

$\frac{\Delta n}{n}=4\pi(\frac{m}{2\pi k T})^{\frac 32}v^2e^{-\frac{mv^2}{2kT}}\Delta v=0.054.$