Chem12 Thermodynamics - thermal energy question

AI Thread Summary
To determine which has a higher amount of thermal energy between a cup of tea at 75°C and a bathtub of water at 50°C, the mass of the water is crucial. The formula for thermal energy, U=mcT, indicates that thermal energy depends on both mass and temperature. Although the cup of tea is at a higher temperature, the bathtub's significantly larger mass likely results in greater overall thermal energy. The specific heat capacity of water remains constant at 4.184 J/g°C, but the mass difference is the key factor. Understanding these principles clarifies the thermal energy comparison between the two water bodies.
p.ella
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chem12 Thermodynamics -- thermal energy question

Homework Statement



Which would have a higher amount of thermal energy:

cup of tea @ 75°C OR bathtub of water @ 50°C

Homework Equations



q=mcΔT

The Attempt at a Solution



I know both are made of water with a specific heat capacity of 4.184 J/g°C. I don't know the differences in temperatures, but the fact that the tub has a greater mass probably has something to do with it, not sure what though

Any help is appreciated. Thankyou! :)
 
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p.ella said:

Homework Equations


q=mcΔT

Thermal energy is simply U=mcT and only the heat transfer that is q=mcΔT. So you don't have to bother about the difference in temperature.
 
Sunil Simha said:
Thermal energy is simply U=mcT and only the heat transfer that is q=mcΔT. So you don't have to bother about the difference in temperature.

Thankyou, this really helps!
 
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