1. (a) 4th order overall
rate = k[A]4
k[A]3[B]
k[A]2[B]2
k[A][B]3
k[B]4
(b) rate
= k[A][B]3 (c)
k = 2.56 M-3s-1
(d) rate = k[A][B]3 =(2.56M-3s-1)(1M)(2m)3
= 20.5M/S
2. (a) 3rd order overall
rate = k[A]3
rate = k[B]2[A]
k[B]2[C]
k[B]3
k[A]2[B]
k[C]3
k[A]2[C]
k[C]2[A]
k[A][B][C]
k[C]2[B]
(b) rate
= k[A]2[C]
Runs 1 & 2 confirm 3rd order overall
Runs 3 & 4 confirm zero order in B
Runs 2 & 3 confirm 2nd order in A (when A increases 1.5X,rate increases
1.52 or 2.25X)
(c) k = 81.3 M-2s-1
(d) rate = k[A]2[C] = (81.3M-2s-1)(0.5M)2(0.5M)
= 10.2M/s
3. (a) rate = k[B]3
(b) k = 1.00x102M-2s-1
(c) rate = k[B]3 = (1.00x102M-2s-1)(1.0M)3
= 1.00x102M/s
4. Ea = R [(T1T2)(T2-T1)]ln(k2/k1) = (0.00831)[(400)(425)/(25)]ln3 = 62.1 kJ/mol
5. ln(k2/k1) = [(Ea)/(R)][(T2-T1)/(T1T2)] = 2.79 k2/k1 = 16.3
6. ln(k2/k1) = [(Ea)/(R)][(T2-T1)/(T1T2)]
ln 10 = [(83.1)/0.00831)][(T2-373)/(373T2)]
T2 = 408K = 135°C