A group of 35 students attend a class in a room that measures 10 m by 8 m by 3 m. Each student takes up about 0.075 m3 and gives out about 80 W of heat (1 W = 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 the heat capacity, Cv, 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

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Write the Given, Required, Solution, and Answer in the proper order.
Solve the following problems clearly showing your solution. (Explain some steps, if possible).
Enclose your final answer with a red outline. Any confusing mark may cause inconsideration
of your answer/s.
Transcribed Image Text:Write the Given, Required, Solution, and Answer in the proper order. Solve the following problems clearly showing your solution. (Explain some steps, if possible). Enclose your final answer with a red outline. Any confusing mark may cause inconsideration of your answer/s.
Problem #4. A group of 35 students attend a class in a room that measures 10 m by 8 m by 3 m.
Each student takes up about 0.075 m3 and gives out about 80 W of heat (1 W = 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 the heat capacity, Cv, 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 = m
m
JT₁
CvdT=mCv (T₂ - T₁)
Transcribed Image Text:Problem #4. A group of 35 students attend a class in a room that measures 10 m by 8 m by 3 m. Each student takes up about 0.075 m3 and gives out about 80 W of heat (1 W = 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 the heat capacity, Cv, 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 = m m JT₁ CvdT=mCv (T₂ - T₁)
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