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EGR_102_Lecture_HW_01-1 - EGR 102 Lecture HW 01 Due at...

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EGR 102 of 4 pages Lecture HW 01 1 EGR 102 Lecture HW 01 Due at beginning of lecture on Friday, January 20 4 Problems, 4 Points Each, 16 Points Total Name: PID: Problem 1 (4 pts): A group of 30 students attend a class in a room that measures 10m by 8m by 3m. Each student takes up 0.075 m 3 and gives out 80W of heat (1W = 1 J/s). Calculate the air temperature rise during the first 15 minutes of the class if the room is completely sealed and insulated. Assume heat capacity, C v , for air is 0.718 kJ/(kg K). Assume air is an ideal gas at 20°C and 101.325 kPa. Note that the heat absorbed by the air Q is related to the mass of the air m , the heat capacity, and the change in temperature by the following relationship: Q = mC v (T 2 -T 1 ) The mass of the air can be obtained from the ideal gas law: PV = mRT / Mwt Where P is the gas pressure, V is the volume of the gas, Mwt is the molecular weight of the gas (for air, 28.97 kg/kmol), and R is the ideal gas constant [8.314 kPa m 3 /(kmol K)].
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EGR 102 of 4 pages Lecture HW 01
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