At a particular temperature, K = 3.75 for the following reaction.
SO2(g) + NO2(g) SO3(g) + NO(g)
If all four gases had initial concentrations of 0.520 M, calculate the equilibrium concentrations of the gases
332 over 64
How can you have an equation with no arrow. What are the products and what are the reactants? I will assume it it
SO2(g) + NO2(g) ==>SO3(g) + NO(g)
Step 1. Determine which way the the reaction must go to reach equilibrium. Determine the reaction quotient.
Q = (SO3)(NO)/(SO2)(NO2)
(0.520)(0.520)/(0.520)(0.520) = 1
K = 3.75 which is greater than Q; therefore, Q is too small. That means the numerator is too small and the denominator is too large so products are too small and reactants too large. The reaction must go to the right to reach equilibrium.
Prepare an ICE chart and solve for individual concns.
Post your work if you get stuck.
To calculate the equilibrium concentrations of the gases, we need to use the concept of the equilibrium constant (K) and the balanced chemical equation of the reaction.
First, let's write down the balanced chemical equation for the given reaction:
SO2(g) + NO2(g) => SO3(g) + NO(g)
Now, we need to define the initial concentrations of the four gases as 0.520 M.
Let's assign the initial concentration of SO2 as [SO2] = 0.520 M,
NO2 as [NO2] = 0.520 M,
SO3 as [SO3] = 0.520 M, and
NO as [NO] = 0.520 M.
Now, to determine the equilibrium concentrations, we need to use the equilibrium expression:
K = [SO3][NO] / [SO2][NO2]
We know that K = 3.75. By substituting the given initial concentrations, we get:
3.75 = [SO3][NO] / (0.520)^2
Rearranging the equation, we get:
[SO3][NO] = 3.75 * (0.520)^2
Now, we can calculate [SO3][NO]:
[SO3][NO] = 3.75 * 0.520 * 0.520
Finally, to determine the equilibrium concentrations of the gases, we know that [SO2] and [NO2] are completely used up in the reaction, so their concentrations will be 0. For [SO3] and [NO], we can substitute the values of [SO3][NO] back into the equation to find their values.
Let's suppose [SO3] = x and [NO] = y. So, by substituting [SO3][NO], we get:
x * y = 3.75 * 0.520 * 0.520
Now, solving this equation will give us the values of x ([SO3]) and y ([NO]), which are the equilibrium concentrations of the gases SO3 and NO.