For the following reactions, equilibrium constants are given :

S(s) + O₂(g) ⇋ SO₂(g); K₁ = 10⁵²

2S(s) + 3O₂(g) ⇋ 2SO₃(g); K₂ = 10¹²⁹

The equilibrium constant for the reaction,

2SO₂(g) + O₂(g) ⇋ 2SO₃(g) is :

The major product in the following reaction is :

Calculate the standard cell potential in (V) of the cell in which following reaction takes place :

Fe²⁺(aq) + Ag⁺(aq) $$ \to $$ Fe³⁺(aq) + Ag (s)

Given that

$$E_{A{g^ + }/Ag}^o = xV$$

$$E_{Fe^{2+ }/Fe}^o = yV$$

$$E_{Fe^{3+ }/Fe}^o = zV$$

Let $$\mathop a\limits^ \to = 3\mathop i\limits^ \wedge + 2\mathop j\limits^ \wedge + x\mathop k\limits^ \wedge $$ and $$\mathop b\limits^ \to = \mathop i\limits^ \wedge - \mathop j\limits^ \wedge + \mathop k\limits^ \wedge $$ , for some real x. Then $$\left| {\mathop a\limits^ \to \times \mathop b\limits^ \to } \right|$$ = r is possible if :