Students to classrom heat transfer

AI Thread Summary
A student calculates that 90 students produce a total heat transfer of 27 million joules over 50 minutes. The classroom's volume is 3200 cubic meters, with air having a thermal capacity of 1020 J/kgK and a density of 1.20 kg/m3. The student seeks assistance in determining the increase in air temperature given that no heat escapes the room. They confirm the calculation of total heat transferred but require guidance on the formula to relate heat input to temperature change. Understanding this relationship is crucial for solving the problem effectively.
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A student produces heat with a rate of 100W. How much heat is transferred from 90 students to a classroom in 50 minutes?

Attempt at solution:
100W (100 J/s) * 90 students * 3000 seconds = 2,7 * 10^7 J. Does this make sense?

The classroom is 3200 cubic meters and the air in it has a thermal capacity of 1020 J/kgK and a density of 1.20 kg/m3. If no heat escapes from the room and the ventilation is broken, how much does the air temperature increase during the 50 minutes?

Attempt at solution:
None. Some help, please?
 
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The number of Joules transferred is correct. Do you know of an expression that relates the change in temperature to the heat input?
 
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