Nitrogen dioxide dimerizes to form dinitrogen tetroxide in a closed vessel at 298 K:…

CHEMISTRY · Multi-part · A Level · Chemistry · Gaseous equilibria (Kp) · Gaseous equilibria (Kp)

Problem

Nitrogen dioxide dimerizes to form dinitrogen tetroxide in a closed vessel at 298 K: 2 NO

_2

(g) ⇌ N

_2

_4

(g). A chemist reports that at 298 K the equilibrium constant expressed in terms of molar concentrations is

K_c = 1.2

. (a) Write the expressions for

K_c

and

K_p

for the reaction. (b) Develop an algebraic relationship that connects

K_p

K_c

for this specific reaction at temperature

T

, expressing your final result solely in terms of

K_c

R

T

, and any appropriate stoichiometric quantity. (c) Use the relationship derived in part (b) to calculate

K_p

at 298 K. (Use

R = 0.0821\,\text{L atm mol}^{-1}\text{K}^{-1}

. Report

K_p

to two significant figures.)