How much time will it take to heat water

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SUMMARY

The discussion focuses on calculating the time required to heat 10 liters of water from 20°C to 80°C using a 2 kW power source. The relevant equations are Q = Power x time and Q = m x c x ΔTemp. The specific heat capacity (c) of water is necessary for the calculation, which is typically 4.186 J/g°C. By rearranging the equations, the time can be determined using t = Q / Power once the heat (Q) is calculated.

PREREQUISITES
  • Understanding of specific heat capacity (c) of water
  • Familiarity with the formula Q = m x c x ΔTemp
  • Basic knowledge of power calculations (Power = Energy / Time)
  • Ability to convert units (liters to grams for water)
NEXT STEPS
  • Research the specific heat capacity of water and its applications
  • Learn how to convert liters of water to grams for calculations
  • Explore the relationship between power, energy, and time in thermal systems
  • Study examples of heating calculations in physics or engineering contexts
USEFUL FOR

Students in physics or engineering courses, educators teaching thermodynamics, and anyone involved in practical applications of heating water or thermal energy calculations.

cycrups
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Homework Statement


T1= 20C
T2=80C
Power=2kW
Volume= 10liters

Homework Equations


Q= Power x time
Q= m x c x DELTA Temp

The Attempt at a Solution



Do I need another equation to be able to find the heat? Since I have the equation of the heat I have the mass and I have the temperature but the c I don't have it.
I then can use the Q/P = t, to find t. What's the c exactly?
 
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You have been given the heat capacity of water in some context previously have you not?
 

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