# Problem: Given2SO2(g) + O2(g) ⇌ 2SO3(g)Suppose 0.10 mol of SO2 and 0.10 mol of O2 are added to a 1-L vessel. At equilibrium, which of the following conditions must be true?A) [O2] = 2[SO3]B) [SO2] = [O2]C) [SO2] &gt; [O2]D) [SO2] &lt; [O2]E) [SO2] = [O2] = [SO3]

###### FREE Expert Solution

We are being asked to determine which of the given conditions must be true for the reaction:

2 SO2(g) + O2(g) ⇌ 2 SO3(g)

When dealing with equilibrium and Kc:

Kc → equilibrium units are in molarity
Kc is an equilibrium expression:

$\overline{){{\mathbf{K}}}_{{\mathbf{c}}}{\mathbf{=}}\frac{\mathbf{products}}{\mathbf{reactants}}}$

only aqueous and gaseous species are included in the equilibrium expression
▪ the coefficient of each compound in the reaction equation will be the exponent of the concentrations in the equilibrium expression

Given:

Initial Concentrations:

Since the container is only 1 L, the mole values of each will equal the initial concentration:

###### Problem Details

Given

2SO2(g) + O2(g) ⇌ 2SO3(g)

Suppose 0.10 mol of SO2 and 0.10 mol of O2 are added to a 1-L vessel. At equilibrium, which of the following conditions must be true?

A) [O2] = 2[SO3]

B) [SO2] = [O2]

C) [SO2] > [O2]

D) [SO2] < [O2]

E) [SO2] = [O2] = [SO3]