The molality of a solution prepared by dissolving \(4 . 0 ~ g ~ N a O H\) in \(1 0 0 0 ~ m L\) distilled water is __________ .
(Assume that the density of water is \(1 ~ g ~ m L ~ m L ^{ 1 }\) )

The entities which donot dissociate into simple ions are :
A. \([Fe(CN)_6]^{4-}\)
B. \(KCl \cdot MgCl_2 \cdot 6H_2O\)
C. \(K_4[Fe(CN)_6]\)
D. \(KAl(SO_4)_2 \cdot 12H_2O\)
E. \(FeSO_4 \cdot (NH_4)_2SO_4 \cdot 6H_2O\)
Choose the correct answer from the options given below :

Amines are reactive in nature, mainly due to difference in electronegativity between Nitrogen and Hydrogen and, due to lone pair of electrons on Nitrogen. Amines behave like nucleophiles and as good lewis bases and there are various reactions to support this. Different degree of amines differ in their reactivity due to steric hinderance and electronic effects. Aromatic amines are less basic due to + R effect, hence have higher pkb value than aliphatic amines. Basic strength of amines also depends on stability of corresponding conjugate acid in aqueous medium.
Which of the following will be having lowest \(p K_b\) in gaseous medium?

The decomposition of \(H _2 O _2\) in alkaline medium, in presence of \(I ^{-}\)ions occurs as follows :
\(2 H_2 O_2 \xrightarrow{I^{-}, \text {allaline medium }} 2 H_2 O+O_2\)
If the reaction occurs in the following two steps:
Step 1: \(H _2 O _2+ I ^{-} \xrightarrow{\text { Slow }} H _2 O + IO ^{-}\)
Step 2 : \(H _2 O _2+ IO ^{-} \xrightarrow{\text { Fast }} H _2 O + I ^{-}+ O _2\)
The correct rate law expression for the reaction is :

Magnetic moment values for \(\left[ Fe \left( H _2 O \right)_6\right]^{3+}\) and \(\left[ Fe ( CN )_6\right]^{3-}\) are ....

Read the passage carefully and answer the questions The resistance ( \(R\) ) of an object is given by the expression \(R=\rho \frac{l}{A}\).
The inverse of \(R\) is called conductance and the inverse of \(\rho\) is called conductivity or specific conductance represented by \(\kappa\).
The conductivity depends upon the nature of the material (insulator, semiconductor or conductor) and the temperature of the substance.
Similarly, the conductance due to the ions present in the solution (ionic conductance) depends upon the nature of the electrolyte, size of ions, the nature of the solvent and the temperature.
Molar conductivity ( \(\Lambda_m\) ) of a solution at a given concentration is the conductance of volume \(V\) containing one mole of electrolyte kept between two electrodes of area \(A\) and unit distance apart. It is given by the expression \(\Lambda_m=\kappa V .\)
Molar conductivity increases with decrease in concentration and when concentration approaches zero, it is called limiting molar conductivity.
The decrease is linear for a strong electrolyte. However, for a weak electrolyte the change is gradual at higher concentrations and sharp near zero concentration.
Using limiting molar conductivity values of strong electrolytes we can calculate the limiting molar conductivity of weak electrolytes using Kohlrausch law of independent migration of ions.
From molar conductivity and limiting molar conductivity we can determine the degree of dissociation \(\left(\frac{\Lambda_m}{\Lambda_m^0}\right)\) and the ionization constant of a weak acid.
For a weak acid like acetic acid, the correct expression for the ionisation constant at concentration \(c\) is

Arrange the following complexes in decreasing order of absorption of wavelength of light in the visible region:
(A) \(\left[ Co ( CN )_6\right]^{3-}\)
(B) \(\left[ CoF _6\right]^{3-}\)
(C) \(\left[ Co \left( H _2 O \right)_6\right]^{3+}\)
(D) \(\left[ Co \left( NH _3\right)_6\right]^{3+}\)
Choose the correct option from below:

The magnetic flux linked with a coil at any instant t is given by \( \Phi = (4t^3 - 3t^2 + 2t + 5) \text{ Wb} \). The emf induced in the coil at \( t = 3 \text{ s} \) is

Arrange the evolutionary human species in their occurrence from recent to the oldest order.
(A) Australopithecus
(B) Homo erectus
(C) Homo sapiens
(D) Neanderthal man
Choose the correct answer from the options given below:

The process used for the conversion of sugar into Ethanol is :

Arrange the following transition elements of the first series in increasing order of their densities
(A) Sc
(B) V
(C) Zn
(D) Cu
Choose the correct answer from the options given below :

Arrange the metal ions of the following compounds in increasing order of oxidation number:
(A) \(TiCl _3\)
(B) \(CrF _6\)
(C) ZnO
(D) \(Mn _2 O _7\)
Choose the correct answer from the options given below:

The area of the parallelogram whose adjacent sides are \(\hat{i}-\hat{j}+3 \hat{k}\) and \(2 \hat{i}-7 \hat{j}+\hat{k}\) is: