Gibbs free energy for a series of reactions calculated by determining a balanced equation and utilizing the free energies listed for each reactant and product in appendix L. After solving for each listed reaction change in free energy, the spontaneity of the reaction is determined and the direction, product or reactant favored.
First we will review integration using the study notes I provided to Joshua. We will then go over the assigned problems from yesterday. We will do some additional problem examples involving differential equations.
Assignment
none
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We did a review of integration followed by several examples involving solutions of differential equations. We are making excellent progress as we move through these calculus topics.
Elicit the two thermodynamic quantities which affect spontaneity of a reaction, entropy and enthalpy. Introduce Gibb's free energy expression, which ties together both entropy and enthalpy. Define free energy. Explain the how a negative free energy and a positive free energy affect a reaction. Negative describes useful work which can be obtained from a reaction and positive describes work which must be supplied. introduce delta G=delta H - T delta S. . Explain the direction of a chemical reaction when delta G is negative, positive, and zero.
Discuss the universality of the force of gravity. Introduce Newton's observations regarding inertia, constant motion, straight line motion, constant velocity and forces. Review that a force is required to cause acceleration. Discuss why the moon's movement and an apple falling are examples of acceleration. Elicit that the force causing the acceleration is gravity. Sketch and discuss the paths of a cannonball fired from a very high point on the Earth. Show that eventually, given sufficient velocity, the cannonball would orbit the Earth and land. Discuss tangential velocity and elicit a definition for gravity.
Using Bishop's poem"Fish" as our source, we parsed and studied how the poet uses imagery, simile and metaphor to create meaning . We first examined the final lines wherein the speaker reaches an epiphany and then addressed how with the repetition of the words "rainbow" the speaker's reverent perspective of the fish's courage and perseverance is illustrated in the images and figurative language of the poem..We then reviewed Joshua's homework essay on the poem and worked on creating a stronger interpretative thesis based on class discussion.
Using Donne's metaphysical poem ."The Sun rising" we delved into how metaphors function to create meaning. Joshua first identified the unusual metaphors in each stanza of the poem. We then discussed how the comparisons elucidate the speaker's self -centered assertion that he is more powerful than the sun and how the metaphors create an alternative reality to support the speaker's claim. Joshua then drafted and revised a series of thesis statement interpretations addressing how metaphors function in the poem.
We are starting a new unit. Slope fields show derivatives of relations in the form of a very general graph (trend). This can help identify a family of functions that have the slope field as their derivatives. Differential equations are solved to find a relation that has the derivative given.
Assignment
55 problems from the text pp373-4
Session Minutes
45
Minutes Student Attended
45
Lesson Comments
We had a great start to this chapter. It required using derivatives from chapters 2 - 4 which served as a review. The concepts require some time to grasp, so we will work through this material slowly.
Introduce that Gibbs free energy is a function associated with the system only and does not require assessment of the surroundings. Define free energy in terms of enthalpy, kelvin temp. and entropy. Using the formulas to determine the entropy changes for the universe, elicit the formula which can be used to determine if reaction is spontaneous or not. This formula delta G = delta H0- Tdelta S, can be used to more easily determine spontaneous reactions.
Review definition of kinetic energy. Discuss formula as KE= 1/2 MV2.. Review that work is fxd and work is done to counter kinetic energy. Discuss work = kinetic energy, and therefore fd=/12mv2. Discuss that when work is done, kinetic energy changes... Introduce force-force of friction x distance kinetic energy. Determine that an object moving at constant speed, just overcoming the force of friction, exhibits a net force of zero and KE or zero.