To find the concentration of H2 at equilibrium, we can use the equilibrium constant (Keq) expression for the given reaction:
Keq = [N2H4] / ([N2]^2 * [H2]^2)
In this case, we have the values for [N2] and [N2H4], and we need to find [H2].
But before calculating the concentration of H2, we need to rearrange the equation to isolate [H2]:
[H2]^2 = [N2H4] / (Keq * [N2]^2)
Now, substitute the given values into the equation:
[H2]^2 = 0.042 / (5.29 * 0.033^2)
Simplifying:
[H2]^2 = 0.042 / (5.29 * 0.001089)
[H2]^2 = 7.717
Taking the square root of both sides:
[H2] = √(7.717)
[H2] ≈ 2.777 M
Therefore, the concentration of H2 at equilibrium is approximately 2.777 M.