The Chemistry Maths Book, Second Edition

(Grace) #1

652 Solutions to exercises


Section 21.7



  1. (i) 3 a


2

1 − 12 a


3

(iii)


(iv)



  1. 11 − 1 e


− 2 R

(1 1 + 12 R 1 + 12 R


2

)



  1. (i) (ii) (iii) 1


3


2


3


2


7


55


1


2


1


25


,


Section 21.10



  1. (i)y 1 = 1 1.257x 1 + 1 2.727


(ii)σ


m

1 = 1 0.084,σ


c

1 = 1 0.615



  1. (i)ln(k 2 dm


3

1 mol


− 1

1 s


− 1

) 1


= 1 −1.076 1 × 110


4

(K 2 T ) 1 + 1 27.38


(ii)E


a

1 = 1 89.5 1 kJ 1 mol


− 1

,


A 1 = 1 7.8 1 × 110


11

1 dm


3

1 mol


− 1

1 s


− 1

(iii)σ


m

1 = 1 114.9;E


a

1 = 1 89.5 1 ± 1 1.0 1 kJ 1 mol


− 1

σ


c

1 = 1 0.355; 1


51 × 110


11

1 < 1 A 2 dm


3

1 mol


− 1

1 s


− 1

1 < 11111 × 110


11
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