45 g of ethylene glycol (C₂H₆O₂) is mixed with 600 g of water. Calculate the depression in freezing point.
(K_f for water = 1.86 K kg mol^-1)

When a primary amine reacts with \(\text{CHCl}_3\) in presence of ethanolic KOH to produce a foul-smelling compound, the reaction is called:

Which of the following statements is/ are correct
(A) For an ideal solution, the enthalpy and volume of mixing of pure components are zero.
(B) The inter-molecular attractive forces between A-A and B-B are greater than those between A-B for an ideal binary solution.
(C) The inter-molecular attractive forces between A-A and B-B are of the same order as those between A-B for an ideal binary solution
(D) For an ideal solution, the enthalpy and volume of mixing of pure components to form the solution are positive.
Choose the correct answer from the options given below:

\(\mathrm{CuSO}_4\) is colorless but \(\mathrm{CuSO}_4 \cdot 5 \mathrm{H}_2 \mathrm{O}\) is blue in color. Which of the following statements is incorrect about the color of \(\mathrm{CuSO}_4 \cdot 5 \mathrm{H}_2 \mathrm{O}\)?

Composition of German silver alloy is :

The complex \(\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_4\left(\mathrm{NO}_2\right)_2\right] \mathrm{Cl}\) will show.......
(A) Linkage isomerism.
(B) Ionization isomerism
(C) Coordination isomerism
(D) Geometrical isomerism
Choose the correct answer from the options given below:

Conversion of freshly prepared precipitate into the colloidal solution is known as

The function \(f(x)=2 x^3-3 x^2-12 x+4\) has :

Pipes A and B can fill a tank in 5 hours and 6 hours respectively. Another Pipe can empty the full tank in 30 hours. If all three pipes are opened together, then the tank will be filled in:

Read the passage carefully and answer the Questions
Werner in 1898, propounded his theory of coordination compounds. In coordination compounds metals show two types of linkages (valences)-primary and secondary. The primary valences are normally ionisable and are satisfied by negative ions. The secondary valences are non-ionisable. These are satisfied by neutral molecules or negative ions. The secondary valence is equal to the coordination number and is fixed for a metal. The ions or group bound by the secondary linkages to the metal have characteristic spatial arrangements corresponding to the different coordination numbers. Both double salts as well as complexes are formed by the combination of two or more stable compounds in stoichiometric ratio. However, they differ in the fact that double salts such as carnallite, Mohr's salt, potash alum etc. dissociate into simple ions completely when dissolved in water. But complex ions do not dissociate completely into simple ions.
When \(1 mol CrCl _3 \cdot 6 H _2 O\) is treated with excess of \(AgNO _3, 3 mol\) of AgCl are obtained. The formula of the complex is:

Area of the region bounded by \(y=3 x, x\)-axis, and \(x=-1\) is :

An atom has a positively charged point nucleus of charge Ze surrounded by a uniform density of negative charge up to a radius R. The atom is taken as neutral. The electric field at a distance r < R from the nucleus is given by:

The elevation in boiling point will be maximum in