Van't Hoff factor (i) is given by

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

The unit of E_cell is

Molecules in solids are held together by dipole - dipole interactions. Identify the polar molecules from the following.
A. Solid \(SO_2\)
B. \(NH_3\)
C. \(Cl_2\)
D. \(HCl\)
E. \(He\)
Choose the correct answer from the options given below:

An alkyl halide with molecular formula \(\text{C}_5\text{H}_{11}\text{Br}\) on dehydrohalogenation give two isomeric alkenes X and Y with formula \(\text{C}_5\text{H}_{10}\). On reductive ozonolysis X and Y gave four compounds: \(\text{CH}_3\text{CHO}\) (ethanal), \(\text{CH}_3\text{COCH}_3\) (propanone), \((\text{CH}_3)_2\text{CHCHO}\) (3-methylbutanal), and \(\text{HCHO}\) (methanal). The alkyl halide is:

On prolonged heating with HI , glucose forms

For the reaction: \(2 A_2(g)+1 / 4 X ( g ) \rightarrow 2 A_2 X ( g )\), if the volume is increased to double its value by decreasing the pressure, and the reaction is first order with respect to \(X\) and second order with respect to \(A _2\), the rate of reaction will:

The historic convention on Biological Diversity ('The Earth Summit') held in 1992.

Read the passage carefully and answer the questions:
The degeneracy of the \(d\) orbitals has been removed due to ligand electron-metal electron repulsions in the octahedral comples to yield three orbitals of lower energy, \(t_{2 g}\) set and two orbitals of higher energy, \(e_g\) set. This splitting of the degenerate levels due to the presence of ligands in a definite geometry is termed as crystal field splitting and the energy separation is denoted by \(\Delta_0\). Thus energy of the two \(e_g\) orbitals will increase by \((3 / 5) \Delta_0\) and that of three \(t_{2 g}\) will decrease by \((2 / 5) \Delta_0\). The crystal field splitting \(\Delta_0\) depends upon the field produced by the ligand and charge on the metal ion. Some ligands are able to produce strong fields, in which case the splitting will be large, whereas others produce weak fields and consequently result in small splitting of \(d\) orbitals. Relative magnitude of crystal field splitting energy \(\Delta_{\circ}\) and pairing energy, \(P\) (energy required for electron pairing in a single orbital) determine the formation of low spin ( \(\Delta_0>P\) ) or high spin ( \(\Delta_0<P\) ) complex. In tetrahedral coordination entity formation, the \(d\)-orbital splitting is inverted and is smaller as compared to the octahedral field splitting. The crystal field theory attributes the colour of the complex to \(d-d\) transition of the electron. The colour of the coordination compounds depends on the crystal field splitting. In the absence of ligand, crystal field splitting does not occur and hence the substance is colourless.
Choose the correct order of the ligands in their increasing crystal field splitting:

A proton and an alpha particle have the same de-Broglie's wavelength. What is same for both of them?

The corner points of the bounded feasible region determined by the system of linear inequalities are (0, 0), (4, 0), (2, 4) and (0, 5). If maximum value of z = ax + by, where a, b > 0 occurs at both (2, 4) and (4, 0) then

If \(A=\left[\begin{array}{ll}1 & 0 \\ 3 & 1\end{array}\right]\) and \(A^4=\left[\begin{array}{ll}1 & 0 \\ k & 1\end{array}\right]\), then the value of \(k\) is :

Huygen's principle allows us to understand and determine.