In: Chemistry
Determine Kc for the reaction (justify all your calculations):
½ N2(g) + ½ O2(g) + ½ Br2(g) NOBr(g)
From the following information at T=298 K
2NO(g) O2(g) + N2(g) Kc = 2.1 x 10^30
NO(g) + ½ Br2(g) NOBr(g) Kc = 1.4
1)1/2 N2 (g) +1/2 Br2 +1/2 O2→NOBr
Kc=[ NOBr]/[N2]^1/2 * [O2]^1/2*[Br2]^1/2
2)2NO →O2 +N2 ( kc1=2.1*10^30]
Kc1=[O2] *[N2]/[NO]^2
3) NO+1/2 Br2→NOBr (kc2=1.4)
Kc2=[NOB r]/[NO] *[Br2]^1/2
Kc2 / (Kc1)^1/2 ={[NOB r]/[NO] *[Br2]^1/2} / { ( [O2]^1/2 *[N2]^1/2)/[NO] }
={[NOB r]/[NO] *[Br2]^1/2} * {[NO]/ [O2]^1/2 *[N2]^1/2}
=[NOB r]/ [Br2]^1/2 [O2]^1/2 *[N2]^1/2 =Kc
So Kc2 / (Kc1)^1/2=kc
Or, kc= 1.4/(2.1*10^30)^1/2 =1.4/1.4 *10^15=1*10^15
Kc=1*10^15