Read the following statements:
(i) The thermal decomposition of HI on a gold surface follows a zero-order reaction.
(ii) Instantaneous rate = \(\operatorname{limit}_{t \rightarrow 0} \frac{\Delta C}{\Delta t}\)
(iii) The rate of 1st order reaction is proportional to the first power of the concentration of the reactant.
(iv) Radioactive reaction follows 1st order kinetics.
The correct statements are:
1. (i), (ii)
2. (i), (iii), (iv)
3. (ii), (iii), (iv)
4. (i), (ii), (iii), (iv)
Subtopic:  Definition, Rate Constant, Rate Law | First Order Reaction Kinetics |
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Half-life is independent of the concentration of a reactant. After 10 minutes, the volume of N2 gas is 10 L and after complete reaction, it is 50 L. Hence, the rate constant is:

1. 2.30310log 5 min-1

2. 2.30310 log 1.25 min-1

3. 2.30310 log 2 min-1

4. 2.30310 log 4 min-1

Subtopic:  First Order Reaction Kinetics |
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The half-life for radioactive decay of 14C is 5730 years. A wood sample contains only 80% of the 14C. The age of the wood sample would be-

1. 1898 years

2. 1765 years

3. 1931 years

4. 1860 years

Subtopic:  First Order Reaction Kinetics |
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Two first-order reactions have half-lives in the ratio \(8:1.\) Calculate the ratio of the time intervals \(t_1: t_2\)where the time \(t_1\) and \(t_2\) are the time periods for \(\left(\frac{1}{4}\right)^{\mathrm{th}}\)  and \(\left(\frac{3}{4}\right)^{\mathrm{th}}\) completion of the reaction, respectively. 
1. \(1: 0.301\)
2. \(0.125: 0.602\)
3. \(1: 602\)
4. None of the above
Subtopic:  First Order Reaction Kinetics |
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Sucrose hydrolysis in an acidic solution into glucose and fructose follows the first-order rate law with a half-life of 3.33 h at 25°C. After 9 h, the fraction of sucrose remaining is f. The value of  \(log(\frac{1}{f})\) is A×10-2 . The value of A is:
(Rounded off to the nearest integer) [Assume : ln 10 = 2.303, ln 2 = 0.693]
1. 78
2. 81
3. 85
4. 75

Subtopic:  First Order Reaction Kinetics |
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