What is the kinetic energy of a single Ch4 molecule traveling 426 mph?

Question

1mi = 1.6093 km

Report in scientific notation to correct number of sig figs.

Answer 1

OK, its hard putting all the conversions into this field, BUT...

Given:

1 Joule is = 1 kg m2 / s2.

CH₄ = 16.0 g/mol

1mi = 1.6093 km

426 mph:     this is your precision--- 3 sig figs

K.E. = 1/2 m v2

------------------------------------------------------------------------------------------

v = 426mi/hr x 1 hr/ 3600 s x 1609 m/1 mi = 190.4 m/s

v² = 3.63 x 10⁴ m²/s²

m= 1 CH₄ x 1 mol CH₄/6.02 x 10²³ CH₄  x 16g CH₄ / 1 mol CH₄ x 1 kg /1000 g = 2.66 x 10 ^-26 kg CH₄

KE = (½) x (2.66 x 10 ^-26 kg CH₄) x (3.63 x 10⁴ m²/s² )

KE  =  4.83 x 10 ^-22 J

anyone is welcome to check my math for an error