0.020 mol of each SO2 and O2 and So3 is placed in a 1.0 L flask and allowed to come to equilibrium. The equilibrium of [SO2] is found to be 0.0080M. What is the value of keq for the reaction: 2SO2+O2<----> 2SO3
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To find the equilibrium constant (K_eq) for the reaction 2SO2 + O2 ⇌ 2SO3, we can use the given information that 0.020 mol of each SO2 and O2 were placed in a 1.0 L flask and the equilibrium concentration of SO2 is 0.0080 M.
First, let's write down the balanced chemical equation for the reaction:
2SO2 + O2 ⇌ 2SO3
Now let's calculate the initial concentrations (in mol/L) of SO2, O2, and SO3:
Initial concentration of SO2 = 0.020 mol / 1.0 L = 0.020 M
Initial concentration of O2 = 0.020 mol / 1.0 L = 0.020 M
Initial concentration of SO3 = 0 mol (since there is no SO3 initially)
Let's assume that the change in concentration of SO2 during the reaction is x M. Since 2 moles of SO2 react to form 2 moles of SO3, the change in concentration of SO3 will also be 2x M.
At equilibrium, the concentration of SO2 will be (0.020 - x) M, the concentration of O2 will be (0.020 - x) M, and the concentration of SO3 will be (2x) M.
Now, let's use the given equilibrium concentration of SO2 (0.0080 M) to set up an expression for the equilibrium constant (K_eq):
K_eq = [SO3]^2 / ([SO2]^2 * [O2])
Substituting the equilibrium concentrations into the expression:
K_eq = (2x)^2 / ((0.020 - x)^2 * (0.020 - x))
Simplifying the equation and substituting the equilibrium concentration of SO2 (0.0080 M) gives:
K_eq = (2x)^2 / ((0.020 - x)^2 * (0.020 - x)) = (2x)^2 / ((0.020 - 0.0080)^2 * (0.020 - 0.0080))
Now, we can solve for x by substituting the given equilibrium concentration of SO2 (0.0080 M) into the equation:
K_eq = (2x)^2 / ((0.020 - x)^2 * (0.020 - x))
0.0080^2 = (2x)^2 / ((0.020 - x)^2 * (0.020 - x))
Solving this equation will give us the value of x, and then we can substitute that value back into the equation to find the equilibrium constant (K_eq).
Note: The exact value of x and K_eq will depend on solving the equation, but this is the general approach to finding the equilibrium constant using the given information.