A KCl solution of conductivity 0.14 S m^$$-$$1 shows a resistance of 4.19$$\Omega$$ in a conductivity cell. If the same cell is filled with an HCl solution, the resistance drops to 1.03$$\Omega$$. The conductivity of the HCl solution is ____________ $$\times$$ 10^$$-$$2 S m^$$-$$1. (Round off to the Nearest Integer).

A 5.0 m mol dm^$$-$$3 aqueous solution of KCl has a conductance of 0.55 mS when measured in a cell of cell constant 1.3 cm^$$-$$1. The molar conductivity of this solution is ___________ mSm² mol^$$-$$1. (Round off to the Nearest Integer).

Emf of the following cell at 298K in V is x $$\times$$ 10^$$-$$2.

Zn|Zn²⁺(0.1 M)||Ag⁺ (0.01 M)|Ag

The value of x is _________. (Rounded off to the nearest integer)

[Given : $$E_{Z{n^{2 + }}/Zn}^\theta = - 0.76V;E_{A{g^{2 + }}/Ag}^\theta = + 0.80V;{{2.303RT} \over F} = 0.059$$]

Consider the following reaction

$$MnO_4^ - + 8{H^ + } + 5{e^ - } \to M{n^{ + 2}} + 4{H_2}O,{E^o} = 1.51V$$.

The quantity of electricity required in Faraday to reduce five moles of $$MnO_4^ - $$ is ___________. (Integer answer)