Chem12 Thermodynamics - thermal energy question

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SUMMARY

The discussion centers on comparing the thermal energy of a cup of tea at 75°C and a bathtub of water at 50°C. The key formula used is U=mcT for thermal energy and q=mcΔT for heat transfer. It is established that the bathtub, due to its significantly greater mass, will possess a higher amount of thermal energy despite the lower temperature. The specific heat capacity of water, 4.184 J/g°C, is consistent for both scenarios.

PREREQUISITES
  • Understanding of thermal energy concepts, specifically U=mcT
  • Familiarity with heat transfer equations, particularly q=mcΔT
  • Knowledge of specific heat capacity, especially for water (4.184 J/g°C)
  • Basic principles of thermodynamics
NEXT STEPS
  • Research the implications of mass on thermal energy calculations
  • Explore the differences between thermal energy and heat transfer
  • Study real-world applications of thermodynamics in everyday scenarios
  • Learn about specific heat capacities of different materials
USEFUL FOR

Students studying thermodynamics, educators teaching physics concepts, and anyone interested in understanding thermal energy calculations in practical situations.

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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