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Question: For a reaction\(\frac{dx}{dt} = K\lbrack H^{+}\rbrack^{n}\). If pH of reaction medium changes from t...

For a reactiondxdt=K[H+]n\frac{dx}{dt} = K\lbrack H^{+}\rbrack^{n}. If pH of reaction medium changes from two to one the rate becomes 100 times of value at pH = 2, The order of reaction is –

A

1

B

2

C

0

D

3

Answer

2

Explanation

Solution

rate = k [H+]n

at pH = 2, [H+] = 10–2

at pH = 1, [H+] = 10–1

r1r2\frac{r_{1}}{r_{2}}= [10−210−1]n\left\lbrack \frac{10^{- 2}}{10^{- 1}} \right\rbrack^{n}

1100\frac{1}{100}= [110]n\left\lbrack \frac{1}{10} \right\rbrack^{n}̃ n = 2