J.R. S. answered 02/23/21
Ph.D. University Professor with 10+ years Tutoring Experience
Graham's Law of Effusion/Diffusion:
rate of gas 1 / rate of gas 2 = sqrt MW gas 2 / sqrt MW gas 1
rate CH4/rate N2 = sqrt MW N2 / sqrt MW CH4
340 / x = √ 28/16
340 / x = 1.32
x = 258 m/s = speed of diffusion of N2