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Entropy

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ntropyTake-Home Challenge

Entropy, Enthalpy, and Free Energy

The equation relating these factors is: ∆G = ∆H–T∆S, where G is free energy, H is enthalpy, S is entropy, and T is temperature (in Kelvin). Although temperature values will always be positive, entropy, enthalpy, and free energy values can be positive or negative. For a given process, a quantitative value for each factor can be calculated using the known values of the factors for each reactant involved (see Table 1) according to the general equation ∆ X°rx = Σ X°(products)–Σ X°(reactants). See if the following activity helps you better understand what these quantities really mean. Table 1 HCO3 H+ H2O (l) CO2 (g)
-

∆Η° (kJ/mol) -691.1 0 -285.8 -393.5

S° (J/K mol) 94.94 0 69.9 213.6

∆G° (kJ/mol) -587.1 0 -237.2 -394.4

Materials
• • • • • vinegar baking soda thin-walled cup tablespoon measure teaspoon measure

Exploration
Step 1 Put about 2 tablespoons vinegar in a cup. Add a teaspoon or two of baking soda to the cup. (a) What do you observe through sight, sound, and touch? (b) What kind of change is occurring? (c) What are the formulas of the 2 major components of vinegar and of the one component of baking soda? (d) Write the overall equation and the net ionic equation for the process. Step 2 (a) Define entropy and the significance of the sign of its value. (b) Based on your observations, explain the entropy change for the system observed in Step 1. (c) Use the entropy data from Table 1 to calculate the entropy change for the net ionic equation from Step 1. (d) Is your calculated value consistent with your conclusions from observation? Explain.

15-1

Take-Home Challenge

Step 3 (a) Define enthalpy and the significance of the sign of its value. (b) Based on your observations, explain the enthalpy change for the system observed in Step 1. (c) Use the enthalpy data from Table 1 to

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