We’re being asked to determine the **equilibrium constant (K)** at **298 K** for the given reaction:

C_{6}F_{6}(g) ↔ 3C_{2}F_{2}(g)

Recall that ** ΔG˚_{rxn} and K** are related to each other:

$\overline{){\mathbf{\Delta G}}{{\mathbf{\xb0}}}_{{\mathbf{rxn}}}{\mathbf{=}}{\mathbf{-}}{\mathbf{RTlnK}}}$

We can use the following equation to solve for ** ΔG˚_{rxn}**:

$\overline{){\mathbf{\Delta G}}{{\mathbf{\xb0}}}_{{\mathbf{rxn}}}{\mathbf{=}}{\mathbf{\Delta G}}{{\mathbf{\xb0}}}_{\mathbf{f}\mathbf{,}\mathbf{}\mathbf{prod}}{\mathbf{-}}{\mathbf{\Delta G}}{{\mathbf{\xb0}}}_{\mathbf{f}\mathbf{,}\mathbf{}\mathbf{react}}}$

Given that the ∆G°_{f} (kJ/mol) at 298 K for difluoroacetylene (C_{2}F_{2}) and hexafluorobenzene (C_{6}F_{6}) are 185.3 and 81.3, respectively, what is K at 298 K for the reaction, C_{6}F_{6}(g) ↔ 3C_{2}F_{2}(g)?

a. 5.88x10^{-19}

b. 8.25x10^{-1}

c. 1.56x10^{-83}

d. 5.34x10^{-11}

e. 6.41x10^{-84}

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Gibbs Free Energy concept. You can view video lessons to learn Gibbs Free Energy. Or if you need more Gibbs Free Energy practice, you can also practice Gibbs Free Energy practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Siitonen's class at RICE.