What is the Clapeyron equation?

Question

1201 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-10-23T14:31:52

Clapeyron's equation is,

#p = nk_BT# where #n# is molecular density, #T# is the absolute temperature and #k_B# is the Boltzmann constant.

Deduction -

From ideal gas equation,

#pV = muRT# where symbols have usual meaning.

However, #R = N_Ak_B# where #N_A# is the Avogadro's number.

Therefore, #pV = muN_Ak_BT#

But, #N = muN_A# is the total number of particles.

Thus, #pV = Nk_BT#
#implies p = (N/V)k_BT#

But, #n = N/V# is molecular density.

Therefore, #p = nk_BT#