Consider the two rate laws:

(I) Rate = k [A]1/2 [B]3/2

(II) Rate = k [A]3/2 [B]–1

The correct statement among the following is-

1. The overall order for rate expression (I) is 2 and for (II) is \(\frac{5}{2}\)
2. The overall order for rate expression (I) is 2 and for (II) is \(\frac{1}{2}\)
3. The overall order for rate expression (I) is -2 and for (II) is \(\frac{3}{2}\)
4. The overall order for rate expression (I) is -2 and for (II) is \(\frac{5}{2}\)
Subtopic:  Order, Molecularity and Mechanism |
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In the reaction: \(\small {\mathrm{A}+2 \mathrm{~B} \rightarrow 6 \mathrm{C}+2 \mathrm{D},}\) if the initial rate \(-\dfrac{d[A]}{d t}\) at \(t=0\) is \(2.6 \times 10^{-2} \mathrm{M} \mathrm{~sec}^{-1},\) then find the value of \(-\dfrac{d[B]}{d t} \text { at } t=0 \):

1. \(8.5 \times 10^{-2} \mathrm{M} \mathrm~\text{sec}^{-1}\) 2. \(2.5 \times 10^{-2} \text M \sec ^{-1}\)
3. \(5.2 \times 10^{-2} \mathrm{M} \mathrm{~sec}^{-1}\) 4. \(7.5 \times 10^{-2} \mathrm{M} \mathrm{~sec}^{-1}\)
Subtopic:  Order, Molecularity and Mechanism |
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In a reaction, the rate expression is, rate = K[A][B]2/3[C]0, the order of the reaction is:

1. 1

2. 2

3. 5/3

4. zero

Subtopic:  Order, Molecularity and Mechanism |
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The reaction 2A + B + C  D + E is found to be a first-order reaction with respect to A, second-order reaction with respect to B, and zero-order reaction with respect to C. If the concentrations of A, B, and C are doubled, the rate of the reaction will be:

1. 72 times

2. 8 times

3. 24 times

4. 36 times

Subtopic:  Order, Molecularity and Mechanism |
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What is the correct expression for the half-life of a zero-order reaction ?
(Given: Co = Initial concentration of reactant)
1. \(\frac{[C_0]}{k} \) 2. \(\frac{[C_0]}{2 k} \)
3. \(\frac{[2 C_0]}{k} \) 4. \(\frac{[2 C_0]}{3 k}\)
Subtopic:  Order, Molecularity and Mechanism |
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Which of the following rate laws has an overall order of 0.5 for the reaction A + B + C  \(\rightarrow\)  product?
 
1. \(k[A][B][C]^{0.5}\) 2. \(k[A]^{0.5}[B]^{0.5}[C]^{0.5}\)
3. \(k[A]^{1.5}[B]^{-1}[C]^0\) 4. \(k[A][B]^0[C]^{0.5}\)
Subtopic:  Order, Molecularity and Mechanism |
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For which of the following rate law, the overall order of the reaction is one? 
1. \( r=k[A]^{\frac{1}{2}}[B]^1 \)
2. \( \mathrm{r}=\mathrm{k}[\mathrm{A}]^{\frac{1}{2}}[\mathrm{~B}]^{-1} \)
3. \( r=k[A]^{\frac{3}{2}}[B]^{\frac{1}{2}} \)
4. \( r=k[A]^{-\frac{1}{2}}[B]^{\frac{3}{2}}\)
Subtopic:  Order, Molecularity and Mechanism |
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A reaction was found to be second order with respect to the concentration of carbon monoxide. If the concentration of carbon monoxide is doubled, with everything else kept the same, the rate of reaction will: 

1. Remain unchanged 

2. Triple 

3. Increases by a factor of 4 

4. Double 

Subtopic:  Order, Molecularity and Mechanism |
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JEE
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If the rate of the reaction is equal to the rate constant, the order of the reaction is:

1. 0 2. 1
3. 2 4. 3
Subtopic:  Order, Molecularity and Mechanism |
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AIPMT - 2003

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The rate law for a reaction is rate = k[A]²[B]. If the concentrations of both A and B are doubled, the rate becomes x times the original rate, and the overall order of the reaction is y. The value of (x + y) is:

1. 11 2. 87
3. 67 4. 20
Subtopic:  Order, Molecularity and Mechanism |
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