List of top Chemistry Questions asked in Indian Institute Of Technology Joint Admission Test for MSc

One mole of a monoatomic ideal gas starting from state A, goes through B and C to state D, as shown in the figure. Total change in entropy (in J K\(^{-1}\)) during this process is ............... 

The number of chiral carbon centers in the following molecule is ............... 

Consider the following matrices A and B.
\[ A = \begin{pmatrix} 1 & 2 & 0 & 0 \\ 3 & 4 & 0 & 0 \\ 0 & 5 & 5 & 0 \\ 0 & 0 & 6 & 7 \\ 0 & 0 & 8 & 9 \end{pmatrix} \quad \text{and} \quad B = \begin{pmatrix} 10 & 11 & 0 & 0 & 0 \\ 12 & 13 & 0 & 0 & 0 \\ 0 & 0 & 4 & 0 & 0 \\ 0 & 0 & 15 & 16 & 0 \\ 0 & 0 & 17 & 18 & 0 \end{pmatrix} \]

If \( C = AB \), the sum of the diagonal elements of \( C \) is ..............

A tube fitted with a semipermeable membrane is dipped into 0.001 M NaCl solution at 300 K as shown in the figure. Assume density of the solvent and solution are the same. At equilibrium, the height of the liquid column \( h \) (in cm) is ......... 

An electron at rest is accelerated through 10 kV potential. The de Broglie wavelength (in A) of the electron is .............

The number of stereoisomers possible for the following compound is .............. 

Number of \( ^1H \) NMR signals observed for the following compound is ............. 

Consider \( \mathbf{C} = \mathbf{A} \times \mathbf{B} \), where \( \mathbf{A} = 3\hat{i} - 2\hat{j} + 5\hat{k} \) and \( \mathbf{B} \) is a unit vector in the \( xy \)-plane, making an angle of 37° with the \( x \)-axis. The projection of \( \mathbf{C} \) on the \( x \)-axis is ................ (round off to one decimal place)

\[ \int_0^\infty x e^{-x} dx = \text{...............} \] (round off to the nearest integer)

The product(s) in the following transformation is(are) 

The major products P and Q of the following reactions are 

The major product in the following reaction sequence is 

Pericyclic reactions involved in the synthesis of Vitamin D\(_2\) from Ergosterol are 

The correct order of the rate of mononitration using conc. H\(_2\)SO\(_4\)/conc. HNO\(_3\) at room temperature is

The major products P and Q of the following transformations are 

The major product of the following transformation is 

The figures (I, II, III) given below schematically represent variation of surface tension of three different aqueous solutions with increasing concentration of each of the solutes (surfactant, sodium chloride, and n-propanol). Match the figures with appropriate solutes and choose the correct option. 

The molecular structure of table sugar is

A cell is constructed by Cl\(_2\)/Cl\(^-\)(aq) and a standard hydrogen electrode half-cells. The standard potential of the complete cell is 1.38 V and \( \left(\frac{\partial E^0}{\partial T}\right)_P = -1.24 \, \text{mV K}^{-1} \). The \( \Delta S^0_{\text{reaction}} \) (in J K\(^{-1}\) mol\(^{-1}\)) for the following cell reaction is .................. \[ \text{H}_2 \text{(g)} + \text{Cl}_2 \text{(g)} \rightarrow 2 \text{H}^+ \text{(aq)} + 2 \text{Cl}^-\text{(aq)} \]
In one second, 95 moles of He gas particles are hitting a wall of a cubic container of volume 1 dm\(^3\). If the average velocity component of the particles perpendicular to the wall is 1000 m s\(^{-1}\), then the pressure of the gas in the container is \( X \times 10^5 \, \text{N m}^{-2} \). The value of \( X \) is ...............
Solubility of PbCO\(_3\) in a buffer of pH 5 is \( X \times 10^{-4} \). The value of \( X \) is ..............................
1.84 g of a mixture of CaCO\(_3\) and MgCO\(_3\) is heated till no further weight loss. The weight of the residue is 0.96 g. The % composition of CaCO\(_3\) in the mixture is ................. \[ \text{(round off to two decimal places)} \] \text{[Given: Atomic weight of Ca = 40; Mg = 24; C = 12; O = 16]}
The molar conductivity of a 0.02 M weak acid HA is 3.2 mS m\(^2\) mol\(^{-1}\) at 298 K. The \( pK_a \) of HA is ....................
The number of species among the following, having bond order of three is ............. \[ \text{N}_2, \text{F}_2, \text{NO}^+, \text{O}_2^-, \text{N}_2^+, \text{CO}, \text{O}_2, \text{O}_2^{2-} \]
The first rotational absorption of \(^{12}C^{16}O\) molecule is observed at 3.84 cm\(^{-1}\). If an isotopic substitution is made with \(^{18}O\) in the molecule, the frequency (in cm\(^{-1}\)) of first rotational absorption is ...............