At a particular temperature, k=1.6x10^-5 for the reaction 2SO3(g)=2SO2(g)+ O2

If 4 mole of SO2 and 2 mole of O2 are placed into a 2.0 L flask, calculate the equilibrium concentration of all the species.

Thanks.

Never mind I figured it out. I was forgetting to make the reaction 100% to the reactant side and then working it out from there.

To calculate the equilibrium concentrations of all the species, we need to use the equilibrium constant expression and the given initial moles/volume.

First, let's create a balanced equation for the reaction:
2SO3(g) = 2SO2(g) + O2(g)

The initial moles of SO2 is given as 4, and the initial moles of O2 is given as 2. Therefore, the initial moles of SO3 can be calculated by examining the stoichiometry of the balanced equation.

Since there are 2 moles of SO2 formed for every 2 moles of SO3 consumed, the initial moles of SO3 can be calculated as follows:
Initial moles of SO3 = 4 moles SO2 * (2 moles SO3 ÷ 2 moles SO2) = 4 moles

Now, we can calculate the initial concentrations by dividing the initial moles by the volume of the flask (2.0 L):
Initial concentration of SO2 = 4 moles SO2 / 2.0 L = 2.0 M
Initial concentration of O2 = 2 moles O2 / 2.0 L = 1.0 M
Initial concentration of SO3 = 4 moles SO3 / 2.0 L = 2.0 M

Now, we can set up the equilibrium constant expression using the given equilibrium constant (k) and the known concentrations of the species:
K = [SO2]² * [O2] / [SO3]²

Plug in the initial concentrations to get the equilibrium constant:
K = (2.0 M)² * (1.0 M) / (2.0 M)²
K = 4.0 * 1.0 / 4.0
K = 1.0

Since the equilibrium constant (K) is equal to 1.0, the reaction is at equilibrium. Therefore, the equilibrium concentrations of all the species are the same as the initial concentrations:

Equilibrium concentration of SO2 = Initial concentration of SO2 = 2.0 M
Equilibrium concentration of O2 = Initial concentration of O2 = 1.0 M
Equilibrium concentration of SO3 = Initial concentration of SO3 = 2.0 M

So, the equilibrium concentrations for all the species are 2.0 M for SO2, 1.0 M for O2, and 2.0 M for SO3.