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E115_Problem_Set_21

# E115_Problem_Set_21 - e 115 Engineering Thermodynamics...

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e 115 Engineering Thermodynamics Fall 2009 University of California Problem set 21 Due: Friday, November 6 th , in lecture 1) (25 points) This problem serves as a bridge between the study of gas phase reactions and of the theory of phase transformations. Consider the following reaction: A(s) + B(g) AB(s) For this reaction, Δ H = 50 kJ mole -1 of AB formed. Assume that the heat capacities per mole of A(s), B(g), and AB(s) are 3R, 2.5R, and 6R, respectively, and are independent of temperature. Assume that the reaction goes to completion and that one mole of A and one mole of B are reacted. a) You assume that the reactants are initially at 298 K and the reaction to form AB(s) occurs instantaneously at 298 K. Assume that the heat liberated is then used to heat the reaction product AB. What will be the final temperature of AB if the process is conducted adiabatically and AB undergoes no phase transformations? (5 points) b) You are concerned that this is not a correct calculation. In practice, as the reaction proceeds and heat is liberated, both the residual reactants and the products are heated. As

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