Determining the change in temperature

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AI Thread Summary
The discussion focuses on calculating the energy output of 45 people in a room and the subsequent temperature change in a specific volume of air. For part A, the total energy released by the group is calculated to be 3.24 x 10^7 J over one hour. In part B, the individual attempts to find the temperature change using the formula Q=Mc(delta T) but arrives at an implausible result of 60 Kelvin. The community seeks clarification on the calculation process to identify the error in determining the temperature change. Accurate calculations are essential for understanding heat transfer in this scenario.
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Homework Statement



A person sitting in a room has a heat output of 200W. Please calculate...

A) How much energy does a room of 45 people release over a course of 1 hour?
B) Assuming that all the energy in part a is transferred to a room of 300 M^3 of air. The air has a specific heat capacity of 1020 J/KxKg and density of 1.20. If none of the heat escapes, how much will the temperature change over time of 50 minutes?

Homework Equations





The Attempt at a Solution



For part A I found that the energy would be 45x200x3600 seconds = 3.24 x 10^7

For part B however, I tried to determine the mass by rearranging the density formula, multiplying density by volume. using that number in Q=Mc (delta T), and rearranging the formula, i get a change of around 60 Kelvin. But I know that can't be right...What am I doing wrong?
 
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Can you show us exactly how you got the temperature change to be 60 K? Then maybe we could figure out what you are doing wrong.
 

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