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The concentration dependence of the rate of a reaction is called the differential rate equation. It is not always convenient to determine the instantaneous rate, as it is measured by calculating the slope of the tangent at point 't' in the concentration vs time plot. This makes it difficult to determine the rate and hence the order of the reaction. This difficulty is overcome by integrating the differential rate equation. This integrated rate equation gives a direct relation between concentrations at different times and the rate constant. The integrated rate equations are different for the reactions having different reaction orders.
A reaction is first order in A and second order in B. If the concentration of B is doubled its initial concentration and A is reduced to 3/4th of its initial concentration, the new rate of the reaction is

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The decomposition of \(N_2O_5\ (g)\) is given as
\(N_2O_5(g) \rightarrow 2NO_2(g) + \frac{1}{2}O_2(g)\)
The above reaction is found to be of first order.
Predict the intercept for the plot of \(log \frac{[N_2O_5]_0}{[N_2O_5]}\) versus time

Arrange the following oxides in decreasing order of oxidation state of the metal ion.
(A) Cu\(_2\)\(\mathrm{O}\)
(B) CrO\(_3\)
(C) Mn\(_2\)\(\mathrm{O}_7\)
(D) V\(_2\)\(\mathrm{O}_5\)
Choose the correct answer from the options given below:

The half-life of a first order reaction:
(A) depends on the reactant concentration raised to the first power
(B) depends on rate constant
(C) is independent of the reactant concentration
(D) is independent of rate constant
Choose the correct answer from the options given below :

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The term vitamin was coined from the word vital +amine since the earlier identified compounds had amino groups. Later work showed that most of them didn't contain amino groups. They are very essential for the body. They has to be taken various diet or in the form of medicines also.
Vitamins are classified into two groups depending upon their solubility in water or fat.
Fat soluble vitamins are soluble in fat and oils but insoluble in water. They are stored in liver and adipose (fat storing) tissues Water soluble vitamins are soluble in water. These must be supplied regularly in diet because they are readily excreted in urine and cannot be stored in our body.
Deficiency of which vitamin causes Rickets?

In the following sequence of reactions :
CH3–CH(NH2) - CH3 $\xrightarrow{HNO_2}$[A] $\xrightarrow{Oxidation}$[B] $\xrightarrow{H^{+}/H_{2}O}$ CH3MgBr
[C] The compound [C] is :

Which of the following compound shows optical isomerism ?

Which traditional drink is made by fermenting palm sap?

\(0.01\) M aqueous solutions of following salts were prepared. Their conductivity values were measured at \(25°C\). Which of the following will possess highest conductivity at \(25°C\)?

A point charge of 17.7 \( \mu C \) is located at the center of a cube of side 0.03 m. Find the electric flux through each face of the cube.

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Antibiotics have greatly improved our capacity to treat deadly diseases such as plague, whooping cough (kali khansi), diphtheria (gal ghotu) and leprosy (kusht rog), which used to kill millions all over the globe.
Streptokinase produced by the bacterium Streptococcus and modified by genetic engineering is used as a 'clot buster' for removing clots from the blood vessels of patients who have undergone myocardial infarction leading to heart attack. Microbes are diverse-protozoa, bacteria, fungi and microscopic animal and plant viruses, viroids and also prions that are proteinacious infectious agents. The puffed-up appearance of dough is due to the production of CO₂ gas. Similarly the dough, which is used for making bread, is fermented using baker's yeast (Saccharomyces cerevisiae). Primary sewage treatment basically involve physical removal of particles - large and small from the sewage through filtration and sedimentation. These are removed in stages; initially, floating debris is removed by sequential filtration. Then the grit (soil and small pebbles) are removed by sedimentation. All solids that settle form the primary sludge, and the supernatant forms the effluent. The effluent from the primary settling tank is taken for secondary treatment. The primary effluent is passed into large aeration tanks, where it is constantly agitated mechanically and air is pumped into it. This allows vigorous growth of useful aerobic microbes into flocs. While growing, these microbes consume the major part of the organic matter in the effluent.
Primary sludge treatment involves -

The reaction occurring at the cathode during discharging of a lead-storage battery is:

The maximum value of \(\sin x+\cos x, x \in R\) is: