Question

at what temperature the mean kinetic energy of hydrogen molecule increases to such that they will escape out of the gravitational field of the earth

Answer 1

The temperature st which mean kinetic energy will increase is 10120 K

Explanation:

3/2 KT = 1/2 m(ve)^2

As we know that

K = 1.38 x 10^-23 J/K

Ve = 11.2 Km/sec

m = 3.35 x 10^-27 Kg

T = mVe^2 / 3k

T = 3.35 x 10^-27 x  (  11.2 x 10^3)^2 / 3 x 1.38 x 10^-23

T = 101.2 x 10^6 x 10^-4

T = 10120 K

Hence the temperature st which mean kinetic energy will increase is 10120 K