physics
posted by Chad .
A class of 11 students taking an exam has a power output per student of 122 W. Assume that the initial temperature of the room is 18.8oC and that its dimensions are 6.40 m by 14.5 m by 3.50 m. What is the temperature of the room at the end of 54.0 min if all the heat remains in the air in the room and none is added by an outside source? The specific heat of air is 840 J/kg*oC, and its density is about 1.25E3 g/cm3.
* I keep calculating an answer close to 30 and im not sure what im doing wrong*

Here's my attempt.
V = 324.8 m^3
Total Energy of Students: 395280 J (in 54min)
mass = 406kg
q=mc(deltaT)
q= 395280J
c= 840 J/kg C
m= 406 kg
delta T = 1.16 C
Tf = 20.0 C