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Engineering Chemistry S Datta

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108 ENGINEERING CHEMISTRY

Examples of a First Order Reaction

(i) Decomposition (gas phase)

(a) 2N 2

O 5

⎯⎯→ 4NO 2

+ O 2

(b) N 2

O 4

⎯⎯→ 2NO 2

(c) CH 3

CH 2

Cl ⎯⎯→ C 2

H 4

+ Cl 2

CH2

⎯ CH2

(d) ⏐ ⏐ ⎯⎯→ 2C 2

H 4

CH2

⎯ CH2

ethylene

cyclobutane

(ii) Isomerisation (gas phase)

(a) CH2 CH 2 CH3CH = CH2

propylene

CH 2

cyclopropane

(b) CH⎯

CH ⎯⎯→ CH

2

2

= CH—CHe = CH 2

⏐ ⏐

1, 3-butadien.

CH⎯

CH2

Cyclobutene

(iii) Decomposition (solution phase)

(a) H 2

O 2

⎯⎯→ H 2

O + 1 2 O 2

COOH

ON 2 NO 2

ON 2

NO 2

(b)

NO 2 NO 2

(iv) Hydrolysis

C 12

H 22

O 11

+ H 2

O ⎯⎯→ C 6

H 12

O 6

+ C 6

H 12

O 6

Cane Sugar Glucose Fructose

(v) Solvolysis

(CH 3

CO) 2

O + 2C 2

H 5

OH ⎯⎯→ 2 CH 3

COOC 2

H 5

+ H 2

O

(vi) Radioactive disintegration:

Ra ⎯⎯→ Rn + α

Mathematical Formulation of a Second Order Reaction

Reactions in which two molecules, identical or different, take part and the rate of the

reaction is proportional to the concentration of each of them, are called second order reaction.

Let, the reaction be represented by,

A + B ⎯⎯→ C + D

Initial concentration of A = a

Initial concentration of B = b

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