On treatment of \(100\, mL\) of \(0.1\, M\) solution of \(CoCl_3.6H_2O\) with excess \(AgNO_3; 1.2 \times 10^{22}\) ions are precipitated. The complex is :

Consider the following equilibrium, \(\mathrm{CO}(\mathrm{g})+2 \mathrm{H}_2(\mathrm{g}) \rightleftharpoons \mathrm{CH}_3 \mathrm{OH}(\mathrm{g})\) 0.1 mol of CO along with a catalyst is present in a \(2 \mathrm{dm}^3\) flask maintained at 500 K. Hydrogen is introduced into the flask until the pressure is 5 bar and 0.04 mol of \(\mathrm{CH}_3 \mathrm{OH}\) is formed. The \(\mathrm{K}_{\mathrm{p}}^0\) is ______ \(\times 10^{-3}\) (nearest integer).
Given : \(\mathrm{R}=0.08 \mathrm{dm}^3\) bar \(\mathrm{K}^{-1} \mathrm{~mol}^{-1}\)
Assume only methanol is formed as the product and the system follows ideal gas behaviour.

When \(400\, \mathrm{~mL}\) of \(0.2\, \mathrm{M} \,\mathrm{H}_{2} \mathrm{SO}_{4}\) solution is mixed with \(600\, \mathrm{~mL}\) of \(0.1\, \mathrm{M} \,\mathrm{NaOH}\) solution, the increase in temperature of the final solution is \(....\,\times 10^{-2} \,\mathrm{~K}\). (Round off to the Nearest Integer). \(\left[\right.\) Use \(: \mathrm{H}^{+}(\mathrm{aq})+\mathrm{OH}^{-}(\mathrm{aq}) \rightarrow \mathrm{H}_{2} \mathrm{O}: \Delta_{\mathrm{\gamma}} \mathrm{H}=-57.1\, \mathrm{k} \mathrm{J} \,\mathrm{mol}^{-1}\) Specific heat of \(\mathrm{H}_{2} \mathrm{O}=4.18 \mathrm{Jk}^{-} \mathrm{g}^{-}\) density of \(\mathrm{H}_{2} \mathrm{O}=1.0\, \mathrm{~g} \mathrm{~cm}^{-3}\) Assume no change in volume of solution on mixing.]

Three moles of \(\mathrm{AgCl}\) get precipitated when one mole of an octahedral co-ordination compound with empirical formula \(\mathrm{CrCl}_{3} \cdot 3 \mathrm{NH}_{3} \cdot 3 \mathrm{H}_{2} \mathrm{O}\) reacts with excess of silver nitrate. The number of chloride ions satisfying the secondary valency of the metal ion is \(......\)

A transition metal ' \(\mathrm{M}\) ' among \(\mathrm{Sc}, \mathrm{Ti}, \mathrm{V}, \mathrm{Cr}, \mathrm{Mn}\) and \(\mathrm{Fe}\) has the highest second ionisation enthalpy. The spin only magnetic moment value of \(\mathrm{M}^{+}\)ion is _______ \(\mathrm{BM}\). (Near integer) (Given atomic number \(\mathrm{Sc}: 21, \mathrm{Ti}: 22, \mathrm{~V}: 23, \mathrm{Cr}\) : \(24, \mathrm{Mn}: 25, \mathrm{Fe}: 26)\)

The \(\mathrm{F}^{-}\)ions make the enamel on teeth much harder by converting hydroxyapatite (the enamel on the surface of teeth) into much harder fluoroapatite having the formula.

The predominant intermolecular forces present in ethyl acetate, a liquid, are

For \({x^2} \ne n\pi  + 1,\,n \in N\) (the set of natural numbers), the integral \(\int {x\sqrt {\frac{{2\,\sin \,\left( {{x^2} - 1} \right) - \sin \,2\,\left( {{x^2} - 1} \right)}}{{2\,\sin \,\left( {{x^2} - 1} \right) + \sin \,2\,\left( {{x^2} - 1} \right)}}} } \,dx\) is

If the three normals drawn to the parabola, \(y ^{2}=2 x\) pass through the point \(( a , 0) a \neq 0,\) then \('a'\) must be greater than

Volume of \(3 \ \mathrm{M} \ \mathrm{NaOH}\) (formula weight \(40 \mathrm{~g} \mathrm{~mol}^{-1}\) ) which can be prepared from \(84 \mathrm{~g}\) of\(\mathrm{NaOH}\) is_____________ \(\times 10^{-1} \ \mathrm{dm}^3\).

In the reaction sequence \(2C{H_3}CHO\xrightarrow{{O{H^ - }}}A\xrightarrow{\Delta }B\) ; the product \(B\) is

Liquid \(‘M’\) and liquid \(‘N’\) form an ideal solution. The vapour pressures of pure liquids \(‘M’\) and \(‘N’\) are \(450\) and \(700\,mmHg,\) respectively at the same temperature. Then correct statement is:
( \(x_M =\) mole fraction of \(‘M’\) in solution; \(x_N =\) mole fraction of \(‘N’\) in solution;
\(y_M =\) mole fraction of \(‘M’\) in vapour phase; \(y_N =\) mole fraction of \(‘M’\) in vapour phase)

Water droplets are coming from an open tap at particular rate. The spacing between a droplet observed at \(4^{{th}}\;second\) after its fall to the next droplet is \(34.3 \,{m}\). At what rate the droplets are coming from the tap ? (Take \(g=9.8\, {m} / {s}^{2}\))