Heat - Energy Transfer Question

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SUMMARY

The discussion centers on calculating the mass of water that can be heated by a water heater generating 32,000 kJ/h, specifically from 15°C to 50°C. The relevant formula involves the heat transfer equation Q = mcΔT, where Q is the heat energy (32,000,000 J), m is the mass of water, c is the specific heat capacity of water (approximately 4.186 J/g°C), and ΔT is the temperature change (35°C). Participants emphasize the importance of correctly applying this formula to determine the mass of water heated per hour.

PREREQUISITES
  • Understanding of the heat transfer equation Q = mcΔT
  • Knowledge of specific heat capacity, particularly for water
  • Basic algebra skills for rearranging formulas
  • Familiarity with units of energy (Joules) and temperature (Celsius)
NEXT STEPS
  • Research the specific heat capacity of water and its implications in heating calculations
  • Practice problems involving the heat transfer equation Q = mcΔT
  • Explore the concept of energy efficiency in water heating systems
  • Learn about different methods of heat transfer: conduction, convection, and radiation
USEFUL FOR

Students studying thermodynamics, engineers working with heating systems, and anyone interested in energy transfer principles.

Ve3Mike
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Hi, one of my homework problems i received was "A water heater can generate 32, 000kJ/h. How much water can it heat from 15 C to 50 C per hour?" I am having trouble figuring out what formula I would use?
 
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Let's see, you have the amount of heat, Q=32,000,000 J
you have a change in temperature, [tex]\Delta T[/tex]=35 degrees
you have water with a specific heat, c = (look it up)
and you need mass m=?

You can't find the right formula? You should look again.
 

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