Which of the following is the best reducing agent to convert RCOOH into \(RCH _2 OH\) ?

Osmotic pressure measurements are less accurate and difficult to carry out. Therefore, this method is not useful for measuring molecular weights. But it is used to find out molecular weights of polymers eg. plastics, proteins and starch having many monomer units. Knowing the value of osmotic pressure of a given solution, molecular weight of the solute can be calculated using Van't Hoff equation.
Determine the Molarity of a solution containing 4g of NaOH in 1L solution

The standard reduction potential for \(Zn^{2+}/Zn\) is \(-0.76\) V and that for \(Fe^{2+}/Fe\) is \(-0.41\) V. The galvanic cell can be correctly represented by :

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Many halogen containing organic compounds are present in nature and some of them are clinically useful. These classes of organic compounds find a wide range of applications in our daily life as well as in industries. Many of the polyhalogen compounds are useful too in agriculture. However, some of these compounds cannot be easily decomposed and are thus considered to be environmental hazards. These halo compounds are prepared via different synthetic routes where a variety of organic compounds can be used as substrates such as amines, hydrocarbons etc. They are used as solvents for relatively non-polar compounds. These compounds exhibit substitution and elimination reactions, in addition to their reactions with different metals, which leads to the formation of a versatile starting material for others organic compounds.
Alkyl halides react with sodium in dry ether and give hydrocarbon containing double the number of carbon atom present in the halides. The reaction is known as:

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Haloalkanes undergo nucelophilic substitution reactions owing to the polarity of CX bond. The nucleophile reacts with the haloalkane on the carbon possessing a partial positive charge holding the halogen atom. The halogen atom \(X\) is replaced by a nucleophile. Depending on the kinetics and mode of bond breaking, the mechanism can be either SN1 or SN2 reaction. The rate of SN1 reaction is governed by the stability of carbocation and in SN2 reaction, the rate of reaction is governed by steric factor. Chirality is the main factor in both SN1and SN2. In SN1 reaction, the chirality of alkyl halide is accompanied by racemization of the product, while in SN2 reaction, the product is characterized by inversion of configuration. The structure of alkyl halide and the nature of the solvent also governs the mechanism of the substitution.
Which of the following compound will undergo \(S_N 1\) reaction readily?

In Clemmensen reduction the carbonyl compound is treated with

Match List-I with List-II.

List-I	List-II
A. Reimer - Tiemann reaction	I. Benzene
B. Kolbe's reaction	II. Picric acid
C. Nitration of phenol with conc. \(HNO _3\)	III. Salicylic acid
D. Reaction of phenol with zinc dust	IV. Salicyaldehyde

Choose the correct answer from the options given below:

Two point charges \( 2 \, \mu\text{C} \) and \( 3 \, \mu\text{C} \) are placed at a distance of 5 cm from each other. The magnitude of the electrostatic force between them is:

Members of a population are arranged as per their age group. Select the expanding population from the following situations.

The degree of the differential equation \(\left(\frac{d y}{d x}\right)^3+\left(\frac{d^2 y}{d x^2}\right)^2=0\) is:

If \(|\vec{a}-\vec{r}|=|\vec{a}|=|\vec{r}|=1\), then angle between \(\vec{a}\) and \(\vec{r}\) is

Given that \(\text{E}^{\circ}_{\text{Ni}^{2+}/\text{Ni}} = -0.25 \text{ V}\) and \(\text{E}^{\circ}_{\text{Cu}^{2+}/\text{Cu}} = +0.34 \text{ V}\).
The EMF of the cell containing nickel and copper electrodes in 1 M solution is

Find the maximum value of the function sin x(1 + cos x) is: