The electrochemical cell shown below is a concentration cell.

M|M²⁺ (saturated solution of a sparingly soluble salt, MX₂) || M²⁺ (0.001 mol dm^–3) | M

The emf of the cell depends on the difference in concentrations of M²⁺ ions at the two electrodes.

The emf of the cell at 298 K is 0.059 V.

The solubility product (Ksp ; mol³ dm^–9) of MX₂ at 298 K based on the information available for the given concentration cell is (take 2.303 × R × 298/F = 0.059 V)

The value of ΔG (kJ mol^–1) for the given cell is (take 1 F = 96500 C mol^–1)

The standard Gibbs energy change at 300 K for the reaction 2A $\rightleftharpoons$ B + C is 2494.2 J. At a given time, the composition of the reaction mixture is $\left[\mathrm{A}\right]=\frac{1}{2}$, [B] = 2 and $\left[\mathrm{C}\right]=\frac{1}{2}$. The reaction proceeds in the: [R = 8.314 J/K/mol, e = 2.718]

The standard state Gibbs free energies of formation of C(graphite) and C(diamond) at T = 298 K are

$∆$_fG° [C(graphite)] = 0 kJ mol^–1

$∆$_fG° [C(diamond)] = 2.9 kJ mol^–1

The standard state means that the pressure should be 1 bar, and substance should be pure at a given temperature. The conversion of graphite [C(graphite)] to diamond [C(diamond)] reduces its volume by 2 × 10–6 m³ mol^–1. If C(graphite) is converted to C(diamond) isothermally at T = 298 K, the pressure at which C(graphite) is in equilibrium with C(diamond), is

[Useful information : 1 J = 1 kg m² s^–2; 1 Pa = 1 kg m^–1 s^–2; 1 bar = 10⁵ Pa]