Question

What is △Grxn for the equation below?

NaOH(aq) + HCl(aq) → H₂O(l) + NaCl(aq)

△Hrxn= -56.13 kJ
△Srxn= 87.1 J/K
T = 303 K
Use △G= △H -T△S
O –82.5 kj
O –29.7 kj
O 26,500 kj
O 27,000 kj

Answer 1

The Gibbs free energy change (△Grxn) for the reaction is calculated as -82.5 kJ using the formula △G = △H - T△S with the given values of △Hrxn, △Srxn, and T.

Step-by-step explanation:

To calculate the Gibbs free energy change (△Grxn) for the reaction NaOH(aq) + HCl(aq) → H2O(l) + NaCl(aq), the provided values for the enthalpy change (△Hrxn = -56.13 kJ) and the entropy change (△Srxn = 87.1 J/K) are used, along with the temperature (T = 303 K). The Gibbs free energy change is calculated with the equation △G = △H - T△S.

△Grxn = (-56.13 kJ) - (303 K × 87.1 J/K × 1 kJ/1000 J)

△Grxn = (-56.13 kJ) - (0.0871 kJ/K × 303 K)

△Grxn = (-56.13 kJ) - (26.39 kJ)

△Grxn = -82.52 kJ

Therefore, the Gibbs free energy change for the reaction is -82.5 kJ.