QUESTION

# Rate equation and order of a reaction.

THIS TUTORIAL IS AIMED AT ENABLING A STUDENT TO DETERMINE THE ORDER OF REACTING SPECIES AND TO WRITE OUT THE RATE EQUATION FROM A SET OF DATA FROM SEVERAL EXPERIMENTS. TO DETERMINE THE RATE CONSTANT AND IT UNITS.

1.      (a) Define the following terms

(i)                 Reaction rate.

(ii)               Order of a reaction.

(iii)             Rate equation.

(iv)              Overall order of a reaction.

(b) The data below were obtained for the following homogenous reaction

2NO(g)  +   2H2(g)                                               2H2O(g)  +    N2(g)

NO(mol)

H2(mol)

Rate of formation of nitrogen(mol)

5.00 x 10-4

1.00 x 10-4

4.5 x 10-4

5.00 x 10-4

2.00 x 10-4

9.0 x 10-4

1.00 x 10-4

5.00 x 10-4

0.9 x 10-4

2.00 x 10-4

5.00 x 10-4

3.6 x 10-4

If the rate equation for the reaction is given by the expression

Rate = k

(i)                 Deduce the value of x.

(ii)               Deduce the value of y.

(iii)             Calculate the value of k and give its units.

(c) The data below was obtained for the reaction

A + B                            Products

Experiments

Initial concentration (moldm-3)

Rate (moldm-3s-1)

A

B

1

0.1

0.1

1.6 x 10-3

2

0.1

0.2

3.2 x 10-3

3

0.1

0.3

4.8 x 10-3

4

0.2

0.1

6.4 x 10-3

5

0.3

0.1

w

(i)                 Determine the order of the reaction with respect to B.

(ii)               Determine the value of w in the table.

(iii)             Write the rate equation of the reaction

(iv)              Calculate the value of rate constant and give its units.

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