(Solved): PLEASE SOLVE IN DETAILS The following reaction network represents the isomerization of 1-butene to ...

The following reaction network represents the isomerization of 1-butene to cis- and trans-2-butene: The equilibrium constants $\left(K_a{}^{?}s\right)$ for steps 1 and 2 at $400\mathrm{K}$ are 4.30 and 2.15, respectively. Consider the fugacity coefficients to be unity. (a) Calculate the equilibrium constant of reaction 3 . (b) Assuming pure 1-butene is initially present at atmospheric pressure, calculate the equilibrium conversion of 1-butene and the equilibrium composition of the butene mixture at $400\mathrm{K}$. (Hint: only two of the three reactions are independent.)