Two open beakers one containing a solvent and the other containing a mixture of that solvent with a non volatile solute are together sealed in a container. Over time

Some \(\mathrm{CO}_2\) gas was kept in a sealed container at a pressure of 1 atm and at 273 K . This entire amount of \(\mathrm{CO}_2\) gas was later passed through an aqueous solution of \(\mathrm{Ca}(\mathrm{OH})_2\). The excess unreacted \(\mathrm{Ca}(\mathrm{OH})_2\) was later neutralized with 0.1 M of 40 mL HCl . If the volume of the sealed container of \(\mathrm{CO}_2\) was \(x\), then \(x\) is ________ \(\mathrm{cm}^3\) (nearest integer).
[Given : The entire amount of \(\mathrm{CO}_2(\mathrm{~g})\) reacted with exactly half the initial amount of \(\mathrm{Ca}(\mathrm{OH})_2\) present in the aqueous solution.]

A liquid when kept inside a thermally insulated closed vessel at \(25^{\circ} \mathrm{C}\) was mechanically stirred from outside. What will be the correct option for the following thermodynamic parameters ?

At room temperature, a dilute solution of urea is prepared by dissolving \(0.60\, g\) of urea in \(360\, g\) of water. If the vapour pressure of pure water at this temperature is \(35\, mm\, Hg\), lowering of vapour pressure will be: .............. \(\mathrm{mm\,Hg}\)  (molar mass of urea \(= 60\, g\, mol^{-1}\))

The standard reduction potential values of some of the p-block ions are given below. Predict the one with the strongest oxidising capacity.

Total number of moles of \(AgCl\) precipitated on addition of excess of \(AgNO _j\) to one mole each of the following complexes \(\left[ Co \left( NH _3\right)_4 Cl _2\right] Cl\), \(\left[ Ni \left( H _2 O \right)_6\right] Cl _2,\left[ Pt \left( NH _3\right)_2 Cl _2\right]\) and \(\left[ Pd \left( NH _3\right)_4\right] Cl _2\) is \(...............\)

During which of the following processes, does entropy decrease ? \((A)\) Freezing of water to ice at \(0^{\circ} C\) \((B)\) Freezing of water to ice at \(-10^{\circ} C\) \((C)\) \(N _{2}( g )+3 H _{2}( g ) \rightarrow 2 NH _{3}( g )\) \((D)\) Adsorption of \(CO ( g )\) and lead surface \((E)\) Dissolution of \(NaCl\) in water

The number of species below that have two lone pairs of electrons in their central atom is ..... . (Round off to the Nearest integer) \(SF _{4}, BF _{4}^{-}, CIF _{3}, AsF _{3}, PCl _{5}, BrF _{5}, XeF _{4}, SF _{6}\)

The integral \(\int_{1 / 4}^{3 / 4} \cos \left(2 \cot ^{-1} \sqrt{\frac{1-\mathrm{x}}{1+\mathrm{x}}}\right) \mathrm{dx}\) is equal to :

Given below are two statements: One is labelled as Assertion \(A\) and the other is labelled as Reason \(R\): Assertion \(A\) : The stability order of +\(1\) oxidation state of \(\mathrm{Ga}\), In and \(\mathrm{Tl}\) is \(\mathrm{Ga}<\mathrm{In}<\mathrm{Tl}\). Reason \(R\) : The inert pair effect stabilizes the lower oxidation state down the group. In the light of the above statements, choose the correct answer from the options given below :

There are two identical chambers, completely thermally insulated from surroundings. Both chambers have a partition wall dividing the chambers in two compartments. Compartment \(1\) is filled with an ideal gas and Compartment \(3\) is filled with a real gas. Compartments \(2\) and \(4\) are vacuum . A small hole (orifice) is made in the partition walls and the gases are allowed to expand in vacuum Statement \(-1\) : No change in the temperature of the gas takes place when ideal gas expands in vacuum. However, the temperature of real gas goes down (cooling) when it expands in vacuum Statement \(-2\) : The internal energy of an ideal gas is only kinetic. The internal energy of a real gas is kinetic as well as potential

A molecule \(M\) associates in a given solvent according to the equation \(M\, \rightleftharpoons \,{(M)_n}\) For a certain concentration of \(M,\) the van't Hoff factor was found to be \(0 .9\) and the fraction of associated molecules was \(0.2.\) The value of \(n\) is

What is the current through the battery in the circuit shown below?