In a reaction, A + B → Product, the rate is doubled when the concentration of B is doubled, and the rate increases by a factor of 8, when the concentrations of both the reactants (A and B) are doubled. The rate law for the reaction can be written as:

1. Rate = k[A][B]2

2. Rate = k[A]2[B]2

3. Rate = k[A][B]

4. Rate = k[A]2[B]

Subtopic:  Definition, Rate Constant, Rate Law |
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AIPMT - 2012
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Which of the following expression is correct for the reaction given below?\(2 \mathrm{HI}_{(g)} \rightarrow \mathrm{H}_{2(g)}+\mathrm{I}_{2(g)}\)
1. \(\dfrac{-\Delta[\mathrm{H}I]}{\Delta t}=\dfrac{2 \Delta\left[\mathrm{H}_2\right]}{\Delta t}\) 2. \(\dfrac{-\Delta[\mathrm{HI}]}{\Delta t}=\dfrac{4\Delta\left[\mathrm{I}_2\right]}{\Delta t}\)
3. \(\dfrac{-\Delta[\mathrm{HI}]}{\Delta t}=\dfrac{4 \Delta\left[\mathrm{H}_2\right]}{\Delta t}\) 4. \( \dfrac{-\Delta[\mathrm{HI}]}{\Delta t}=\dfrac{\Delta\left[\mathrm{H}_2\right]}{\Delta t}\)
Subtopic:  Definition, Rate Constant, Rate Law |
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NEET - 2024
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The rate equation of a reaction is expressed as, Rate = \(k(P_{CH_{3}OCH_{3}})^{\frac{3}{2}}\)

(Unit of rate = bar min–1)

The units of the rate constant will be:
1. bar1/2 min    
2. bar2 min1   
3. barmin2  
4. bar1/2 min1

Subtopic:  Definition, Rate Constant, Rate Law |
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The decomposition of NH3 on a platinum surface is a zero-order reaction. The rates of production of N2 and Hwill be respectively:
(given ; k = 2.5 × 10–4 mol–1 L s–1 ) 

1. 2.5 × 10−4 mol L−1 s−1 and 5.5 × 10−4 mol L−1 s−1

2. 2.5 × 10−4 mol L−1 s−1 and 7.5 × 10−4 mol L−1 s−1

3. 1.5 × 10−4 mol L−1 s−1 and 4.5 × 10−4 mol L−1 s−1

4. 0.5 × 10−4 mol L−1 s−1 and 3.5 × 10−4 mol L−1 s−1

Subtopic:  Definition, Rate Constant, Rate Law |
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At high pressure the following reaction is zero order-

The correct statements among the following is:

(a) Rate of reaction = Rate constant
(b) Rate of the reaction depends on the concentration of ammonia
(c) Rate of decomposition of ammonia will remain constant until ammonia disappears completely
(d) Further increase in pressure will change the rate of reaction
 
1. (a, b, c) 2. (b, c, d)
3. (a, c, d) 4. (a, b, d)
Subtopic:  Definition, Rate Constant, Rate Law |
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For a zero-order reaction, the initial amount of reaction is 20 g and half-life is 30 minutes. The amount of reactant left after 60 minutes would be:

1. 5 g

2.  10 g

3.  2.5 g

4.  Zero

Subtopic:  Definition, Rate Constant, Rate Law |
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NO2 required for a reaction is produced by the decomposition of N2O5 in CCl4 as per the equation,
2N2O5(g) 4NO2(g) + O2(g)
The initial concentration of N2O5 is 3.00 mol L–1 and it is 2.75 mol L–1 after 30 minutes. The rate of formation of NO2 is:
1. 2.083 × 10–3 mol L–1 min-1
2. 8.333 × 10–3 mol L–1 min-1
3. 4.167 ×10–3 mol L–1 min-1
4. 1.667 × 10–2 mol L–1 min-1

Subtopic:  Definition, Rate Constant, Rate Law |
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JEE
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For the reaction 
\(2 \mathrm{C}_2 \mathrm{H}_6(\mathrm{g})+7 \mathrm{O}_2(\mathrm{g}) \rightarrow 4 \mathrm{CO}_2(\mathrm{g})+6 \mathrm{H}_2 \mathrm{O}(l) \),
the rate of disappearance of \(C_2H_6 (g)\)
 
1. equals the rate of disappearance of \(O_2 (g)\)
2. is seven times the rate of disappearance of \(O_2 (g)\)
3. is twice the rate of appearance of \(CO_2 (g)\)
4. is one-third the rate of appearance of \(H_2O(l)\)
Subtopic:  Definition, Rate Constant, Rate Law |
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The units of rate constant and rate of reaction are same for: 

1. First order reaction 

2. Second order reaction 

3. Third order reaction 

4. Zero order reaction 

Subtopic:  Definition, Rate Constant, Rate Law |
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