The molar solubility(s) of zirconium phosphate with molecular formula \(\left(\mathrm{Zr}^{4+}\right)_3\left(\mathrm{PO}_4^{3-}\right)_4\) is given by relation :

The volume (in \(mL\) ) of \(0.1\,M\,AgNO _3\) required for complete precipitation of chloride ions present in \(20\,mL\) of \(0.01\,M\) solution of \(\left[ Cr \left( H _2 O \right)_5 Cl \right] Cl _2\) as silver chloride is \(..........\).

14.0 g of calcium metal is allowed to react with excess HCl at 1.0 atm pressure and 273 K. Which of the following statements is incorrect ? [Given: Molar mass in g mol of Ca-40, Cl-35.5, H-1]

Given below is the plot of the molar conductivity vs \(\sqrt{\text { concentration }}\) for KCl in aqueous solution.

If, for the higher concentration of KCl solution, the resistance of the conductivity cell is \(100 \Omega\), then the resistance of the same cell with the dilute solution is ' \(x\) ' \(\Omega\)
The value of \(x\) is __________ (Nearest integer)

\(4.5\) moles each of hydrogen and iodine is heated in a sealed ten litre vessel. At equilibrium, \(3\) moles of HI were found. The equilibrium constant for \(H _2( g )+ I _2( g ) \rightleftharpoons 2 HI ( g )\) is .......

Given below are two statements:
Statement I: The Henry's law constant \(K_{H}\) is constant with respect to variations in solution's concentration over the range for which the solutions is ideally dilute.
Statement II: \(K_{H}\) does not differ for the same solute in different solvents.
In the light of the above statements, choose the correct answer from the options.

40 mL of a mixture of \(\mathrm{CH}_3 \mathrm{COOH}\) and HCl (aqueous solution) is titrated against 0.1 M NaOH solution conductometrically. Which of the following statement is correct?

One mole of \(Cl_{2}\) (g) was passed into 2 L of cold 2M KOH solution. After the reaction, the concentrations of \(Cl^{-}\), \(ClO^{-}\) and \(OH^{-}\) are respectively (assume volume remains constant):

Williamson synthesis of ether is an example of

A soap bubble is blown to a diameter of \(7 \mathrm{~cm}\). \(36960 \mathrm{erg}\) of work is done in blowing it further. If surface tension of soap solution is \(40 \mathrm{dyne} / \mathrm{cm}\) then the new radius is ______ \(\mathrm{cm}\). Take \(:\left(\pi=\frac{22}{7}\right)\).

A force is applied to a steel wire ' \(A\) ', rigidly clamped at one end. As a result elongation in the wire is \(0.2\,mm\). If same force is applied to another steel wire ' \(B\) ' of double the length and a diameter \(2.4\) times that of the wire ' \(A\) ', the elongation in the wire ' \(B\) ' will be \(............\times 10^{-2}\,mm\) (wires having uniform circular cross sections)

Consider the following reactions. From these reactions which reaction will give carboxylic acid
as a major product ?
(A) \(\mathrm{R}-\mathrm{C} \equiv \mathrm{N} \xrightarrow[\text { mild condition }]{\text { (i) } \mathrm{H}^{+} / \mathrm{H}_2 \mathrm{O}}\)
(B) \(\mathrm{R}-\mathrm{MgX} \xrightarrow[\text { (ii) } \mathrm{H}_3 \mathrm{O}^{+}]{\text {(i) } \mathrm{CO}_2}\)
(C) \(\mathrm{R}-\mathrm{C} \equiv \mathrm{N} \xrightarrow[\text { (ii) } \mathrm{H}_3 \mathrm{O}^{+}]{\text {(i) } \mathrm{SnCl}_2 / \mathrm{HCl}}\)
(D) \(\mathrm{R} \cdot \mathrm{CH}_2 \cdot \mathrm{OH} \xrightarrow{\mathrm{PCC}}\)
(E)

Choose the correct answer from the options given below:

When \(100\,g\) of a liquid \(A\) at \(100\,^oC\) is added to \(50\,g\) of a liquid \(B\) at temperature \(75\,^oC\), the temperature of the mixture becomes \(90\,^oC\). The temperature of the mixture, if \(100\,g\) of liquid \(A\) at \(100\,^oC\) is added to \(50\,g\) of liquid \(B\) at \(50\,^oC\), will be ........\(^oC\)