In: Chemistry
A student ran the following reaction in the laboratory at 684 K: N2(g) + 3H2(g) 2NH3(g) When she introduced 3.26×10-2 moles of N2(g) and 6.07×10-2 moles of H2(g) into a 1.00 liter container, she found the equilibrium concentration of H2(g) to be 5.83×10-2 M. Calculate the equilibrium constant, Kc, she obtained for this reaction.
Kc = __
since volume is 1 L, number of moles will be same as concentration
N2
+
3H2 <------------------> 2NH3
3.26*10^-2
6.07*10^-2
0 (initial)
3.26*10^-2 -x 6.07*10^-2
-3x
2x (at
equilibrium)
given
[H2]= 5.83*10^-2 M
so,
6.07*10^-2 -3x = 5.83*10^-2
x = 8*10^-4 M
Kc= [NH3]^2 / {[N2] [H2]^3}
= (2x)^2 / (3.26*10^-2 - x )
(5.83*10^-2)^3
= (2*8*10^-4 )^2 /
((3.26*10^-2 - 8*10^-4 ) (5.83*10^-2)^3)
= (2.56*10^-6)/ (3.18*10^-2 *
1.982*10^-4)
= 0.406
Answer: 0.406