A)
1. N2(g)+O2(g)⇌2NO(g), |
      K1 = |
4.10×10−31 |
2. N2(g)+2H2(g)⇌N2H4(g), |
      K2 = |
7.40×10−26 |
3. 2H2O(g)⇌2H2(g)+O2(g), |
      K3 = |
1.06×10−10 |
N2(g)+H2O(g)⇌NO(g)+1/2N2H4(g),    Kgoal=?
Equation goal = 1/2(equation 1 + equation 2+ equation 3)
Kgoal = (K1 X K2 X K3 )1/2 = (4.10 X 10-31
X 7.40 X 10-26 X 1.06 X 10-10 )1/2
= (32.16 X 10-67)1/2 = (3.126 X
10-66)1/2
= 1.77 X 10-33
Part B:
4PCl5(g)⇌P4(s)+10Cl2(g),    Kgoal=?
1)
P4(s)+6Cl2(g)⇌4PCl3(g),       K1=2.00×1019
2)
PCl5(g)⇌PCl3(g)+Cl2(g),       K2=1.13×10−2
Equation goal = 4 X equation (2) - equation (1) =
4[PCl5(g)⇌PCl3(g)+Cl2(g)] - [ P4(s)+6Cl2(g)⇌4PCl3(g)]
=[ 4PCl5(g)⇌4PCl3(g)+4Cl2(g)]-[ P4(s)+6Cl2(g)⇌4PCl3(g)] =
4PCl5(g)⇌P4(s)+10Cl2(g)
Kgoal = (K2)4 / K1 = (1.13 X
10-2)4 / 2.00×1019 = 0.815 X
10-27