Exam%202002 - Last Name Student ID First Name MATERIALS...

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continued on page 2 1 2 3 4 5 6 7 8 9 10 11 12 Last Name: _____________________________ First Name: __________________________ Student ID#: _________________________ MATERIALS 2O03/ENGINEERING 2O03 DAY CLASS Profs. D. Wilkinson and N. Provatas DURATION OF EXAMINATION: 3 hours McMaster University Final Examination December 2002 This examination contains 9 pages and 12 questions. You are responsible for ensuring that your copy of the paper is complete. Bring any discrepancy to the attention of your invigilator. SPECIAL INSTRUCTIONS: Aids allowed: 1 page crib sheet, nominally 8½ by 11 in. McMaster standard Casio FX-991 calculator Answer all questions on the examination copy. Be sure to show your work so that part marks can be awarded for incomplete answers. Be sure to include units with all answers that require them. Marks will be deducted for using an inappropriate number of significant digits in your final answer. For multiple choice questions: Circle the letter(s) to indicate your answer Marks will be deducted for incorrect answers – circle only those for which you are confident of the answer. The value of each question is shown. The total for the exam is 100 marks. Marks [10] 1. Salt is often spread on roads during the winter in order to depress the freezing point of water. A binary phase diagram for water and salt (NaCl) is shown below.
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MAT 2O03/ENG 2O03 Final Examination, December 2002 page 2 continued on page 3 Marks a) What are the two phases that exist in equilibrium in the region of the phase diagram labeled “field (Z)”? b) At -10°C determine the overall composition for which equal amounts of these phases exist in equilibrium. c) What are the compositions of each phase under these conditions? d) What is the lowest temperature at which adding salt can prevent water from freezing completely?
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