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Ivanshal [37]
4 years ago
14

The rate of a hypothetical reaction involving L and M is found to double when the concentration of L is doubled and to increase

fourfold when the concentration of M is doubled. Write the rate law for this reaction.
Chemistry
1 answer:
Semmy [17]4 years ago
4 0

Answer: Rate=k[L]^1[M]^2

Explanation:

Rate law says that rate of a reaction is directly proportional to the concentration of the reactants each raised to a stoichiometric coefficient determined experimentally called as order.

L+M\rightarrow products

Rate=k[L]^x[M]^y  (1)

k= rate constant

x = order with respect to L

y = order with respect to M

n =( x+y)= Total order

a)  If [L] is doubled, the reaction rate will increase by a factor of 2:

2\times Rate=k[2L]^x[M]^y   (2)

b)  If [M] is doubled, the reaction rate will increase by a factor of 4:

4\times Rate=k[L]^x[2M]^y   (3)

Dividing 2 by 1:

\frac{2\times Rate}{Rate}=\frac{k[2L]^x[M]^y}{k[L]^x[M]^y}

2=2^x

x=1

Dividing 3 by 1

\frac{4\times Rate}{Rate}=\frac{k[L]^x[2M]^y}{k[L]^x[M]^y}

4=2^y

2^2=2^y

y=2

Thus rate law is: k[L]^1[M]^2

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