Intro to Thermal Energy/Heat Transfer: Grade 11 Practice Problems

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SUMMARY

This discussion focuses on introductory thermal energy and heat transfer concepts relevant to Grade 11 students. Key equations mentioned include Q = mcΔt for heat transfer and the latent heat of vaporization for water, which is 2.3 X 10^6 J/kg. The total heat required to convert 4 kg of water from 20°C to steam is calculated, emphasizing the importance of understanding both temperature change and phase change. The correct approach to solving the problem involves recognizing that not all water is converted to steam, necessitating further calculations to determine the mass of steam produced.

PREREQUISITES
  • Understanding of basic thermodynamics principles
  • Familiarity with specific heat capacity and latent heat concepts
  • Ability to manipulate and solve equations involving heat transfer
  • Knowledge of temperature scales and conversions
NEXT STEPS
  • Research the concept of latent heat of vaporization in detail
  • Practice solving problems using the Q = mcΔt equation
  • Explore resources for Grade 11 thermal energy practice problems
  • Learn about phase changes and their energy requirements in thermodynamics
USEFUL FOR

Grade 11 students studying thermal energy and heat transfer, educators seeking practice problems for their students, and anyone interested in foundational thermodynamics concepts.

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Does anyone have any good websites with practice problems and great in-depth explanations on thermal energy/heat transfer at the introductory level (grade 11)? I've searched many websites only to find questions that are too advanced. Questions like: What mass of steam is produced when 2.4 X 10^6 J of heat is applied to 4 kg of water at 20°C? Thanks in advance. :smile:
 
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What is the relevant equation for heat gained or lost by a body?
 
rl.bhat said:
What is the relevant equation for heat gained or lost by a body?
Q = mcΔt, where Q is heat gained or lost, m is mass of the body, c is specific heat capacity and Δt is the change in temperature.
 
Well.
The applied heat is utilized to increase the temperature of 4 kg of water from 20 degree Celsius 100 degree Celsius + m kg of water to convert into steam. I hope you know the latent heat of evaporation of water. Now proceed.
 
rl.bhat said:
Well.
The applied heat is utilized to increase the temperature of 4 kg of water from 20 degree Celsius 100 degree Celsius + m kg of water to convert into steam. I hope you know the latent heat of evaporation of water. Now proceed.
The latent heat of vaporization for water is 2.3 X 10^6 (according to my book).

Qtotal = MwaterCwaterΔt + MwaterLvwater
Qtotal = (4 kg)(4200 J/(J·°C))(80°C) + (4 kg)(2.3 X 10^6 J / kg)
Qtotal = 10544000 J. It takes 10544000 J to boil 4 kg of water that was initially at 20 degrees Celsius. Correct?


Thanks for all the help, I appreciate it. :biggrin:
 
Qtotal = (4 kg)(4200 J/(J·°C))(80°C) + (4 kg)(2.3 X 10^6 J / kg)

The above step is not correct. Because all the water is not converted to steam.
Heat utilized to boil the water = 4*4200*80 = 1.344*10^6 Joule. Supplied heat is 2.4*10^6 Joule. So the excess heat is utilized to convert water to steam. Now find the mass of the water converted to steam.
 

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