Question

A class of 10 students taking an exam has a power output per student of about 200W. Assume the initial temperature of the room is 20 C and that its dimensions are 6.0 m by 15.0 m by 3.0 m. What is the temperature of the room at the end of 1.0 h if all the energy remains in the air in the room and none is added by an outside source? The specific heat is 837 J/kg C, and its density is about 1.3 x 10^-3 g/cm^3

Answer 1

For a class of 10 students taking an exam has a power output per student of about 200W, the temperature is mathematically given as

dT=25C

What is the temperature of the room at the end of 1.0 h if all the energy remains in the air in the room and none is added by an outside source?

Generally, the equation for  the temperature is mathematically given as

dT=Q/mc

Where

Q=Pt

Q=2000*3600

Q=7200000J

And m

m=pv

m=1.3*270

m=351kg

Therefore

dT=7200000J/351*837

dT=25C

In conclusion, The temperature of the room at the end of 1.0 h

dT=25C

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