MgSO₄ on reaction with NH₄OH and Na₂HPO₄ forms a white crystalline precipitate. What is its formula?

75.2 g of C₆H₅OH (phenol) is dissolved in a solvent of K_f = 14. If the depression in freezing point is 7 K then find the % of phenol that dimerises.

We have taken a saturated solution of AgBr. K_sp of AgBr is 12 $$\times$$ 10^-14. If 10^-7 mole of AgNO₃ are added to 1 litre of this solution find conductivity (specific conductance) of this solution in terms of 10^-7 S m^-1 units. Given, molar conductance of Ag⁺, Br^- and $$NO_3^-$$ are 6 $$\times$$ 10^-3 Sm² mol^-1, 8 $$\times$$ 10^-3 Sm² mol^-1 and 7 $$\times$$ 10^-3 Sm² mol^-1

A plane which is perpendicular to two planes $$2x - 2y + z = 0$$ and $$x - y + 2z = 4,$$ passes through $$(1, -2, 1).$$ The distance of the plane from the point $$(1, 2, 2)$$ is