2.0 g of benzoic acid dissolved in 25 g of benzene shows a depression in freezing point of 1.62 K. Molal depression constant \(K_f\) of benzene is \(4.9\text{ K kg mol}^{-1}\). What is the percentage association of the acid?

Which of the following statement is false?

The correct increasing order of reactivity of alkyl halides with \(CH _3 NH _2\) is
(A) \(C _2 H _5- Br\)
(B) \(C _2 H _5- I\)
(C) \(C _2 H _5- F\)
(D) \(C _2 H _5- Cl\)
Choose the correct answer from the options given below:

Arrange the following in the increasing order of their boiling points
(A) \(n- C _4 H _6 NH _2\)
(B) \(\left( C _2 H _5\right)_2 NH\)
(C) \(n- C _4 H _9 OH\)
(D) \(C _2 H _5 N\left( CH _3\right)_2\)
Choose the correct answer from the options given below:

Read the passage carefully and answer the following questions
Aldehydes, carboxylic acids and ketones are widespread in the animal and plant kingdoms. They play a pivotal role in various biochemical processes of life. Their presence in nature adds fragrance and flavor. These compounds are widely used in food products, pharmaceuticals, paints, resins and other important product industries. These compounds are prepared by various laboratory methods, which mainly include oxidation, formylation, acylation and reduction. Due to the polar nature of the carbonyl group in aldehydes and ketones, they can exhibit different reactions like nucleophilic addition. They do exhibit redox and various condensation reactions which lead to the formation of various important compounds. On the other hand, the carboxylic acids are mainly prepared by oxidation and hydrolysis of different compounds. The carboxylic acid consists of a carbonyl group and the hydroxy group (attached to the carbonyl carbon atom). This makes it possible for the carboxylic acid to participate in various chemical reactions which involve cleavage of the C-OH bond and the O-H bond along with the reactions involving the complete - COOH group.
The IUPAC name of following compound is \(OHC-C_6H_4-CHO-p\)

Read the passage carefully and answer the questions
Ethers with the general formula \(C _n H _{2 n+2} O\) and functional group C-O-C may be divided as symmetrical and unsymmetrical.
Lower symmetrical ether may be obtained by the dehydration of alcohols at low temperatures in the presence of protic acids,
such as \(H _2 SO _4\) and \(H _3 PO _4\) whereas at high temperature intramolecular dehydration takes place.
Formation of ether from primary alcohols is also accompanied by the formation of small amount of alkenes.
Due to the steric hinderance, secondary and tertiary alcohols undergo elimination reaction rather than substitution reaction yielding alkene as major product. Ethers can also be obtained by heating alkyl halides with sodium or potassium alkoxides.
Substituted Ethers (secondary & tertiary) can also be prepared using this method.
If primary halides are replaced with secondary and tertiary halides, alkenes are the major products.
The major product in the following reaction is \(ROH + HOR \xrightarrow{ H _2 SO _4, 140^{\circ} C }\)

The order of basic strength of amines in aqueous solution is :

A nucleus captures two neutrons. Which of the following gives the changes in the proton number and nucleon number of the nucleus?

In what ratio should a grocery shopkeeper mix two varieties of pulses worth Rs. 85 per kg and Rs. 100 per kg respectively, so as to get a mixture worth Rs. 92 per kg?

An electric dipole of length 2 cm is placed at an angle of \(30^\circ\) with an electric field \(3 \times 10^5 \text{ N C}^{-1}\). If the dipole experiences a torque of \(9 \times 10^{-3} \text{ N m}\), the magnitude of either charge of the dipole is

Consider a binary operation \(*\) on \(N\) defined as \(a * b=a^3+b^3\), choose the correct answer :

Find the correct stoichiometric coefficients in the following redox equation:
\(\text{xH}^+ + \text{y C}_6\text{H}_5\text{CH}_3 + \text{w MnO}_4^- \rightarrow \text{a H}_2\text{O}+\text{b Mn}^{2+}\text{ + t C}_6\text{H}_5\text{COOH}\)
Choose the correct set of values for (x, y, w, a, b, t)

The area of the triangle with vertices \((1,4),(2,7)\) and \((4,13)\) is: