Question

Calculate the mean translational K.E. of one mole of Hydrogen at NTP. Given, Density of Hydrogen at NTP is 0.09 Kg/m^3.

Answer 1

mean translation kinetic energy = 3/2nRT
we know ,
relation between density and another gases notation is ========

d = PM/RT
RT = PM/d

put this in above equation ,

K.E = 3/2PnM/d

given,
n = 1
M = 2 g = 2 × 10^-3 kg
P =1.013 × 10^5 N/m²
d = 0.09 kg/m³

now,

K.E = 3 × 1 × 2 × 10^-3 x 1.013 x 10^5 /2 x 0.09 Joule
= 3 × 1.013 x 10^4/9
= 1.013 /3 x 10^4 Joule