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301 Sample_Test_2_Solution

# 301 Sample_Test_2_Solution - SAMPLE SOLUTIONS MAE 301...

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SAMPLE SOLUTIONS MAE 301: Engineering Thermodynamics I Spring 2010 Test 2 (15% of final grade) March 11, 2010 Problem 1. (25 points) A tank fitted with an electrical resistor of negligible mass holds 2 kg of nitrogen, initially at 27 ˚C, 100 kPa. Over a period of 10 minutes, electricity is provided to the resistor at a rate of 0.12 kW. During the same period, a heat transfer of magnitude 12.59 kJ occurs from the nitrogen to its surroundings. Assuming ideal gas behavior, determine the nitrogen final temperature and pressure. Solution: out in W Q U + = Δ K kgK kJ kg kJ kJ mc W Q T T mc U VN out in VN 40 743 . 0 2 60 10 12 . 0 59 . 12 2 2 = + = + = Δ Δ = Δ C C C T T T T T T 67 40 27 1 2 1 2 = + = + Δ = = Δ kPa K K kPa T P T P T P T P 3 . 133 300 340 100 1 1 2 2 1 1 2 2 = = = = Problem 2. (25 points) Saturated water vapor is contained in a closed rigid tank. The water is cooled to a temperature of 110 ˚C. At this temperature the masses of saturated vapor and liquid are

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301 Sample_Test_2_Solution - SAMPLE SOLUTIONS MAE 301...

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