The average rate of heat loss from a person to the surroundings when not actively working is about \(85 \mathrm{~W}\). Suppose that in an auditorium with volume of approximately \(3.5 \times 10^{5} \mathrm{~m}^{3}\), containing 6000 people, the ventilation system fails. How much does the internal energy of the air in the auditorium increase during the first \(15 \mathrm{~min}\) after the ventilation system fails? Considering the auditorium and people as a system, and assuming no heat transfer to the surroundings, how much does the internal energy of the system change? How do you account for the fact that the temperature of the air increases? Estimate the rate of temperature rise under these conditions.