Heat Transfer

Module 7, Lesson 3 | PHYS-1315 Physical Science I
"Heat is not a thing, but a process - the transfer of thermal energy from one object to another."
— First Law of Thermodynamics

Understanding Heat Transfer

Heat is the transfer of thermal energy between objects at different temperatures. Unlike work, which involves organized motion, heat transfer involves the random motion of molecules. Understanding heat transfer is essential for everything from cooking food to designing efficient buildings and understanding climate change.

The First Law of Thermodynamics tells us that energy is conserved - it can be converted from one form to another, but it cannot be created or destroyed. When we study heat transfer, we're examining how thermal energy moves from hot objects to cold objects through three primary mechanisms: conduction, convection, and radiation.

Heat vs. Temperature

Temperature measures the average kinetic energy of particles in a substance. Heat is the energy transferred due to temperature differences. A large swimming pool and a cup of coffee might have the same temperature, but it takes much more energy (heat) to warm the pool!

Learning Objectives

Course Competency CC7.1

Solve problems involving heat and temperature

LO7.1.6

Differentiate between thermal energy, temperature, and heat

LO7.1.7

Solve problems involving heat transfer, specific heat, and latent heat

Essential Heat Equations

Q = mcΔT

Q: Heat energy (J or cal) | m: Mass (kg) | c: Specific heat capacity | ΔT: Temperature change (K or °C)

Q = mL

Q: Heat for phase change | m: Mass | L: Latent heat of fusion/vaporization

Required Readings

Primary Reading

Equation Sheet

Supplementary Resources

2021 Nobel Prize in Physics

The Nobel Prize in Physics 2021 was awarded to Syukuro Manabe and Klaus Hasselmann "for the physical modelling of Earth's climate, quantifying variability and reliably predicting global warming", and Giorgio Parisi "for the discovery of the interplay of disorder and fluctuations in physical systems from atomic to planetary scales".

Their groundbreaking work on heat transfer and climate modeling helps us understand global warming and complex physical systems.

Learn more about their research

Interactive Activity 1: Heat Transfer Problem-Solving Sequence

Instructions: Arrange the following steps in the correct order for solving heat transfer problems using Q = mcΔT and Q = mL. This systematic approach ensures accurate thermal energy calculations.

Identify the type of heat transfer

Determine if it's sensible heat (temperature change) or latent heat (phase change)

List known variables

Identify mass (m), specific heat (c), temperature change (ΔT), or latent heat (L)

Convert units consistently

Ensure temperature units match, masses are in kg, energy in J or cal

Choose appropriate heat equation

Use Q = mcΔT for temperature change, Q = mL for phase transitions

Look up specific heat or latent heat values

Find material properties from tables (water: c = 4.18 J/g°C)

Substitute values into equation

Replace variables with numerical values and proper units

Calculate and verify units

Perform calculation and check that final units are energy (J, cal, kcal)

Check reasonableness

Verify answer makes physical sense (heating requires positive energy)

Heat Transfer Key: Always identify whether the problem involves temperature change (Q = mcΔT) or phase change (Q = mL) first. Remember: Water has unusually high specific heat (4.18 J/g°C), which is why it's excellent for thermal regulation in living organisms and climate systems.

Interactive Activity 2: Heat Transfer Mechanisms and Properties Classification

Instructions: Sort the following concepts related to heat transfer into their correct categories. Understanding these classifications helps in analyzing thermal processes and choosing appropriate calculations.

Conduction

Direct molecular contact heat transfer

Convection

Heat transfer by fluid motion

Radiation

Heat transfer by electromagnetic waves

Heat Calculations

Q = mcΔT and Q = mL components

Metal spoon getting hot in soup
Heat through solid materials
No bulk movement of matter
Electrons/molecules vibrate and collide
Boiling water circulation
Ocean currents and weather
Requires fluid (liquid or gas)
Hot fluid rises, cool sinks
Sunlight warming Earth
No medium required
Electromagnetic waves carry energy
Thermal infrared emission
Q - Heat energy (J, cal, kcal)
m - Mass of substance (kg, g)
c - Specific heat capacity
ΔT - Temperature change (K, °C)

Heat Transfer Analysis: Conduction requires direct contact and works through molecular collisions. Convection needs fluid movement to transport thermal energy. Radiation transfers energy through electromagnetic waves without requiring matter. Heat calculations use Q = mcΔT for temperature changes and Q = mL for phase transitions.

Interactive Activity 3: Heat Transfer Mechanisms and Thermal Properties

Instructions: Click each card to reveal detailed information about heat transfer mechanisms, specific heat, latent heat, and thermal processes. These concepts explain how energy moves through matter.

Conduction

Molecular Contact

Direct Molecular Heat Transfer

  • • Heat through direct contact
  • • No bulk movement of matter
  • • Molecules vibrate and collide
  • • Common in solids (metals excellent)
  • • Examples: Hot spoon, touching ice
  • • Rate depends on thermal conductivity

Convection

Fluid Motion

Heat Transfer by Moving Fluids

  • • Requires liquid or gas
  • • Hot fluid rises, cold sinks
  • • Creates circulation currents
  • • Natural: weather, ocean currents
  • • Forced: fans, pumps, stirring
  • • Examples: boiling water, heating systems

Radiation

Electromagnetic Waves

Energy Transfer by EM Waves

  • • No medium required (works in vacuum)
  • • All objects emit thermal radiation
  • • Intensity depends on temperature⁴
  • • Mostly infrared wavelengths
  • • Examples: Sun warming Earth, campfire
  • • Stefan-Boltzmann law governs emission

Specific Heat

Q = mcΔT

Heat Capacity of Materials

  • • Energy needed per unit mass per degree
  • • Water: c = 4.18 J/(g·°C) - very high
  • • Metals: typically 0.1-1.0 J/(g·°C)
  • • Higher c = more energy for same ΔT
  • • Water's high c moderates climate
  • • Used in Q = mcΔT calculations

Latent Heat

Q = mL

Heat for Phase Changes

  • • Energy to change state (no ΔT)
  • • Fusion: solid ↔ liquid
  • • Vaporization: liquid ↔ gas
  • • Water fusion: 334 J/g
  • • Water vaporization: 2260 J/g
  • • Why sweating cools body effectively

First Law

Energy Conservation

Thermodynamics First Law

  • • Energy cannot be created or destroyed
  • • ΔU = Q - W (internal energy change)
  • • Heat in minus work out
  • • Heat and work are both energy transfer
  • • Basis for energy conservation
  • • Foundation of thermal analysis

Heat vs Work

Energy Transfer Types

Two Ways to Transfer Energy

  • Heat: random molecular motion
  • Work: organized motion/force
  • • Both measured in Joules
  • • Heat flows from hot to cold only
  • • Work can be done in either direction
  • • Both change internal energy

Thermal Equilibrium

No Heat Flow

Equal Temperature Condition

  • • No net heat transfer between objects
  • • Objects at same temperature
  • • Zeroth Law of Thermodynamics
  • • Defines temperature concept
  • • Thermometer measurement principle
  • • Final state of isolated systems

Heat Transfer Mechanisms

Conduction

Mechanism: Direct molecular contact
Medium: Solids (best in metals)
Direction: Through material
Speed: Depends on thermal conductivity

Heat transfers through direct contact as faster-moving molecules collide with slower ones. Metals are excellent conductors due to free electrons that carry energy efficiently.

Examples: Hot spoon in soup, touching ice cube, heat through building walls

Convection

Mechanism: Bulk fluid movement
Medium: Liquids and gases only
Direction: Hot rises, cold sinks
Speed: Depends on fluid properties

Heat transfers through the movement of fluids. Heated fluid becomes less dense and rises, while cooler fluid sinks, creating circulation patterns.

Examples: Boiling water, weather patterns, heating systems, ocean currents

Radiation

Mechanism: Electromagnetic waves
Medium: None required (works in vacuum)
Direction: All directions from source
Speed: Speed of light

All objects emit electromagnetic radiation proportional to their temperature. This energy travels at light speed and can transfer heat across empty space.

Examples: Sunlight, campfire warmth, thermal imaging, Earth cooling to space

Heat Transfer Calculations

Sensible Heat: Q = mcΔT

For temperature changes without phase change:

  • Q: Heat energy transferred (J, cal, kcal)
  • m: Mass of substance (kg, g)
  • c: Specific heat capacity (J/g°C)
  • ΔT: Temperature change (°C or K)

Common specific heats: Water = 4.18 J/g°C, Aluminum = 0.90 J/g°C, Iron = 0.45 J/g°C

Latent Heat: Q = mL

For phase changes at constant temperature:

  • Q: Heat energy for phase change (J, cal)
  • m: Mass of substance changing phase
  • L: Latent heat of fusion or vaporization

Water latent heats: Fusion = 334 J/g, Vaporization = 2260 J/g

Problem-Solving Strategy

Multi-stage heating problems:

  1. Identify each stage (heating/cooling/phase change)
  2. Use Q = mcΔT for temperature changes
  3. Use Q = mL for phase transitions
  4. Add all Q values for total energy

Example: Ice (-10°C) → Steam (110°C) requires 5 separate calculations!

Energy Conservation

First Law of Thermodynamics:

ΔU = Q - W

  • ΔU: Change in internal energy
  • Q: Heat added to system
  • W: Work done by system

Energy is conserved - it can change forms (kinetic energy → heat) but total energy remains constant.

Video Lectures

Heat Transfer (and Global Warming)

Duration: 10:51 | Topics: Heat, heat capacity, latent heat, and First Law of Thermodynamics

ASL Version available

Heat Transfer Problem Examples

Example 1: A 1000 kg car is moving at 90.0 km/h. How many kilocalories are generated when the car brakes to stop?

Learning Objective: LO7.1.7 - Heat transfer, specific heat, and latent heat problems

Click to reveal solution

Answer: 74.7 kilocalories

Solution Process:

  1. Convert speed: 90.0 km/h = 25.0 m/s
  2. Find kinetic energy: KE = ½mv² = ½(1000)(25.0)² = 312,500 J
  3. Convert to kcal: 312,500 J ÷ 4184 J/kcal = 74.7 kcal

Video explanation: 8:00 duration with ASL version available

Example 2: How much heat will be supplied to a 500 g pan to raise temperature from 20.0°C to 100.0°C if the pan is made of iron and aluminum?

Learning Objective: LO7.1.7 - Specific heat calculations

Click to reveal solution

Solution Process:

Given: m = 500 g = 0.5 kg, ΔT = 100.0°C - 20.0°C = 80.0°C

Iron pan: c = 0.45 J/g°C

Q = mcΔT = (500 g)(0.45 J/g°C)(80.0°C) = 18,000 J = 18.0 kJ

Aluminum pan: c = 0.90 J/g°C

Q = mcΔT = (500 g)(0.90 J/g°C)(80.0°C) = 36,000 J = 36.0 kJ

Video explanation: 12:53 duration with ASL version available

Example 3: What is the specific heat of a 2 kg metal sample if 1.2 kcal is needed to increase the temperature from 20.0°C to 40.0°C?

Learning Objective: LO7.1.7 - Determining material properties

Click to reveal solution

Answer: 0.03 kcal/(kg·°C)

Solution Process:

Given: m = 2 kg, Q = 1.2 kcal, ΔT = 40.0°C - 20.0°C = 20.0°C

Use Q = mcΔT, solve for c:

c = Q/(mΔT) = (1.2 kcal)/[(2 kg)(20.0°C)] = 0.03 kcal/(kg·°C)

Video explanation: 5:34 duration with ASL version available

PHYS-1315 Physical Science I | Module 7, Lesson 3

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