Question

(a) What is the average translational kinetic energy of a molecule of an ideal gas at temperature of `276@ C` ?
(a) What is the total random translational kinetic energy of the molecules in one mole of this gas ?
( c) What is the rms speed of oxygen molecules at this temperature ?

Answer 1

Correct Answer - A::B::C::D
(a) `k_T = 3/2 k T`
= `3/2 (1.38 xx 10^-23) (300)`
= `6.21 xx 10^-21 J`
(b) `k_T` in one mole `= 3/2 R T`
`= 3/2 xx 8.31 xx 300`
= `3740 J`
( c) `V_(r m s)= sqrt ((3 R T)/(M)) = sqrt((3xx 8.31 xx 300)/(32 xx 10^-3))`
`= 484 m//s`.