Final temperature
Posted: Sat Aug 28, 2021 1:51 am
Hello everyone, here I am again
I have this exercise:
"A feverish student weighing 75 kg is immersed in 400 kg of water at 4.0°C to try to lower the fever. The body temperature drops from 40.0°C to 37.0°C. Considering that the specific heat of the student's body is 3.77 J/(g *°C), what is the final temperature of the water?"
I have done so:
|Q|= m*Cp*ΔT
|Q|=75000 g*3.77 J/(g*°C)*(40.0-37.0)°C=848250 J= 848.25 kJ
ΔT=|Q|/(m(H2O)*Cp(H2O))= 848.25 kJ/(400 kg* 1kcal/Kg*4.186kJ/kcal)=0.5°C
Tf(H2O)=(4+0.5)°C= 4.5°C
It's correct?
I have this exercise:
"A feverish student weighing 75 kg is immersed in 400 kg of water at 4.0°C to try to lower the fever. The body temperature drops from 40.0°C to 37.0°C. Considering that the specific heat of the student's body is 3.77 J/(g *°C), what is the final temperature of the water?"
I have done so:
|Q|= m*Cp*ΔT
|Q|=75000 g*3.77 J/(g*°C)*(40.0-37.0)°C=848250 J= 848.25 kJ
ΔT=|Q|/(m(H2O)*Cp(H2O))= 848.25 kJ/(400 kg* 1kcal/Kg*4.186kJ/kcal)=0.5°C
Tf(H2O)=(4+0.5)°C= 4.5°C
It's correct?