In Henry's law, the partial pressure of gas in the vapor phase is proportional to:

Which one of the following is not an application of adsorption?

In the electrolytic refining of silver :

The standard Gibbs energy of the following reaction is \(-610 kJ mol ^{-1}\)
\(Mg(s)+2 Ag^{+}(aq) \rightarrow Mg^{2+}(aq)+2 Ag(s)\)
What is the standard EMF for the cell correspondng to the above reaction?
Given: Faraday's constant \(=96500 C mol ^{-1}\)

The C-O-H bond angle in alcohols is slightly less than tetrahedral angle \(109^{\circ} 28^{\prime}\) due to:

The osmotic pressure of a solution prepared by dissolving \(5 0 ~ m g\) of H2SO4 in 2 liters of water at \(2 5 ^{ \circ } C\) will be

Inner orbital complex among the following is :
(A) \(\text{[Co(NH}_3)_6\text{]}^{3+}\)
(B) \(\text{[CoF}_6\text{]}^{3-}\)
(C) \(\text{[Ni(CN)}_4\text{]}^{2-}\)
(D) \(\text{[MnCl}_6\text{]}^{3-}\)
(E) \(\text{[FeF}_6\text{]}^{3-}\)
Choose the correct answer from the options given below :

A small start-up started making wafers and distributing them to the retailers. After a week, average sales per week were found to be 150 packets. So, to increase the sales, a strategy was used to change the packaging and add a chocolate worth Rs. 5 as a free gift with the pack. After this, a sample of 17 shops was taken, which showed that sales went up with mean 165 and a standard deviation of 25. Check whether the strategy was effective \(5 \%\), level of significance? [Given \(\left.t_{16}(0.05)=2.12\right]\)

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 complez 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 \(\Delta_{\circ}\) 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 \(\Delta_0\) 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 octabedral 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.
Which of the following relations is correct for the splitting of \(d\) orbitals in octahedral and tetrahedral crystal fields, considering same metal, the same ligands and metal-ligand distances?

The degree of the differential equation \(\left(1+\frac{d y}{d x}\right)^4=\left(\frac{d^2 y}{d x^2}\right)^2\) is:

If the system of equations
\( \begin{array}{l} x+2 y+3 z=10 \\ -x+y+\lambda z=20 \\ 2 x+3 y+\lambda z=0 \end{array} \)
does not possess a unique solution, then \(\lambda\) is equal to

If \(A(3,2), B(1,-1)\) and \(C(2,1)\) are three vertices of a parallelogram \(A B C D\), then its area (in sq. units) is equal to

A pair of dice is thrown, getting a total of 7 is considered a success. Then the probability of success in a single throw is: