A colloidal solution of gold nanoparticles is prepared by reduction of $HAuCl_4$. Which of the following methods is MOST EFFECTIVE for purifying this solution from excess reactants and small ionic byproducts?

What is the normality of a ${\rm{KMn}}{{\rm{O}}_4}$ solution to be used as an oxidant in acid medium, which contain 15.8 g of the compound in 100 mL of solution? Mol. wt. of ${\rm{KMn}}{{\rm{O}}_4}$ is 158 :

100 mL of 0.1 M solution of a reductant is diluted to 1 litre, which of the following changes?

A 0.5 molal aqueous solution of urea ($CON_2H_4$) is prepared. What is the mole fraction of urea?

In the following change, $3{\rm{Fe}} + 4{{\rm{H}}_2}{\rm{O}} o {\rm{F}}{{\rm{e}}_3}{{\rm{O}}_4} + 4{{\rm{H}}_2}$. If the atomic weight of iron is 56, then its equivalent weight will be :

A mixture of two volatile liquids A and B follows Raoult's law. At a certain temperature, the partial pressures of A and B above the solution are 200 mmHg and 300 mmHg respectively. If the mole fraction of A in the liquid phase is 0.4, what is the vapor pressure of pure A at this temperature?

A solution is prepared by dissolving 10 g of sucrose ($C_{12}H_{22}O_{11}$) in 200 g of water. What is the mole fraction of sucrose?

A solution is prepared by dissolving 2.5g of a non-volatile solute in 100g of water. The vapor pressure of the solution is found to be 22.87 Torr at $25^\circ C$. If the vapor pressure of pure water is 23.76 Torr at the same temperature, what is the molar mass of the solute (in g/mol)?

Reactants react in the equal number of …….. to give products.

In the following change, $3{\rm{Fe}} + 4{{\rm{H}}_2}{\rm{O}} o {\rm{F}}{{\rm{e}}_3}{{\rm{O}}_4} + 4{{\rm{H}}_2}$. If the atomic weight of iron is 56, then its equivalent weight will be :

Weight of ${\rm{FeS}}{{\rm{O}}_4}\left( {{\rm{mol}}{\rm{.wt}}{\rm{.}} = 152} \right)$ oxidized by 200 mL of 1 $N$ ${\rm{KMn}}{{\rm{O}}_4}$ solution is :