A gas absorbs 30.0 J of heat and then performs 77.0 J of work. What is the change in internal energy of the gas?
Use the tabulated half-cell potentials to calculate the equilibrium constant (K) for the following balanced redox reaction at 25°C:

2 Al (s) + 3 Mg²⁺ (aq) → 2 Al³⁺ (aq) + 3 Mg (s)

Mg²⁺ (aq) + 2 e⁻ → Mg (s), E° = -2.38 V
Al³⁺ (aq) + 3 e⁻ → Al (s), E° = -1.66 V

- 8.9 × 10⁻⁷
- 3.4 × 10³
- 11.1 × 10⁷
- 21.1 × 10⁻⁷
- 21.0 × 10²⁴