The vapour pressure of a solvent decreased by 20 mm of Hg when a non-volatile solute was added to the solvent. The mole fraction of the solute in the solution is 0.5. What should be the mole fraction of the solvent for the decrease in the vapour pressure needs to be 10 mm of Hg?

For a $$A+B \rightarrow$$ products, the rate of the reaction is given by rate $$=k[A][B]^2$$. The units of rate constant $$(k)$$ will be

In the electrolysis of a CuSO$$_4$$ solution, how many grames of Cu are plated out on the cathode, in the time that is required to liberate 5.6 L of O$$_2$$(g), measured at 1 atm and 273 K, at the anode?

For an elementary reaction, $$X(g) \longrightarrow Y(g)+Z(g)$$, the $$t_{1 / 2}$$ is $$10 \mathrm{~min}$$. In what period of time would the concentration of $$X$$ be reduced to $$10 \%$$ of its original concentration?