Calculate Keq using Standard Free Energy Change

How can we calculate the equilibrium constant (Keq) given a standard free energy change of -6.3 kJ/mol at 298 K?

a) 10⁻6.3/8.314298

b) 10⁶.3/8.314298

c) e⁻6.3/8.314298

d) e⁶.3/8.314298

Final answer: a) 10^6.3/8.314298

Answer:

The equilibrium constant (Keq) can be calculated using the Boltzmann equation: Keq = e^(∆G°/RT). Let's calculate Keq using the given values and the equation Keq = e^((-6.3 × 1000)/(8.314 × 298)). The answer is (a) 10^6.3/8.314298.

The equilibrium constant (Keq) can be calculated using the Boltzmann equation:

Keq = e^(∆G°/RT)

Where:

- ∆G° is the standard free energy change (given as -6.3 kJ/mol in this case)

- R is the gas constant (8.314 J/mol K)

- T is the temperature in Kelvin (298 K)

Let's calculate Keq using the given values:

Keq = e^((-6.3 × 1000)/(8.314 × 298)) ≈ 10^6.3/8.314298

Therefore, the answer is (a) 10^6.3/8.314298.

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