Question

Compute the change in average kinetic energy of argon molecules if at constant volume the gas is added the amount of heat Q_v = 3516 J. The mass of argon is m = 200g & M_AR=40kg.kmol^-1.

Answer 1

Answer :

Change in average kinetic energy = 3/2 KT

specific heat of argon at constant volume = 0.3122 kJ/kg K

Heat added = 3516 J = 3.516 KJ

mass of argon is m = 200g = 0.2 Kg

Molecular weight of Argon = 40kg.kmol^-1.

Heat = mC_vT

3.516 KJ = (0.2 Kg) (0.3122 kJ/kg K)  T

T = 56.31 K

Change in average kinetic energy = 3/2 KT

where K is boltzmann constant = 1.3807 x 10 ^-23 joule s per kelvin (J. K ^-1 )

K.E = 3/2 x 1.3807 x 10 ^-23 x 56.31

K.E. = 1.166 x 10^-21 J

answered by: anonymous