Heat:
Definition: The transfer of thermal energy from a hotter object to a cooler one.
Direction: Heat flows spontaneously from hot to cold.
Conditions: Cannot flow cold to hot without work done.
Measurement: Measured in joules (J).
Thermal Energy Transfer:
Occurs through contact and redistribution of energies via particle collisions.
Example: Heat transfers from warm skin to a cooler thermometer.
Heat Absorption:
Positive heat value (Q) when an object absorbs thermal energy.
Heat Loss:
Negative heat value (Q) when an object loses thermal energy.
Types of Heat Transfer:
Conduction:
Description: Transfer through direct contact in solids.
Example: Metal rod heated at one end; spoon in hot water.
Convection:
Description: Transfer in liquids/gases through fluid motion.
Example: Water heating in a pot; atmospheric convection (e.g., thunderstorms).
Radiation:
Description: Energy transfer through electromagnetic waves, requiring no medium.
Example: Sun warming Earth; heat felt from fire or light bulb.
Definition of Specific Heat:
The energy needed to raise the temperature of a unit mass of material by one degree.
Measurement: Joules per kilogram per degree Celsius (J/kg°C).
Key Points:
Different materials heat at different rates; low specific heat materials heat faster (e.g., metals) while high specific heat materials heat slower (e.g., water).
Example: Aluminum specific heat = 900 J/kg°C (900 J required to raise 1 kg by 1°C).
Specific Heat of Common Materials:
Metals: Low specific heat, good thermal conductors (used in cooking).
Water: High specific heat, heats slowly and retains heat longer.
Ice and Water Vapor: High specific heats.
Real-World Implications:
Water’s high specific heat stabilizes large bodies of water and helps regulate body temperature.
Heat Measurement:
Formula: Q = mC∆T
Variables:
Q = heat
m = mass
C = specific heat of the substance
∆T = change in temperature (final - initial)
Example Calculation:
Copper Water Pipe:
Mass = 2.3 kg, Initial Temperature = 20.0°C, Final Temperature = 80.0°C.
Q = (2.3 kg)(385 J/kg·K)(80.0°C - 20.0°C) = 5.3 × 10^6 J.
Electric Heater Calculation:
Cost of heating 75 kg from 15°C to 43°C:
Q = (75 kg)(4180 J/kg·K)(43°C - 15°C) = 8.8 × 10^6 J.
Cost = (8.8 × 10^6 J)/(3.6 × 10^6 J/kWh) * $0.15/kWh = $0.37.
Change in Temperature for Water:
Given 836.0 kJ added to 20.0 L water:
Q = mC∆T leads to ΔT = 10.0 K.
Using Methanol:
Density = 0.80 g/cm³, mass of methanol = 16 kg:
Q = mC∆T results in ΔT = 21 K.
Comparison of Coolants:
Water better than methanol for temperatures above 0°C due to less temperature change during thermal absorption.
Calorimeter:
Device to measure thermal energy changes.
Insulated to minimize external energy transfer.
Setup:
Hot substance and cold water reach equilibrium temperature.
Working Principle:
Energy conservation in a closed system: energy can be transferred between substances without leaving the system.
Energy Changes:
The energy change is equal to the heat transferred.
Equilibrium Temperature:
Final temperature reached by both substances relates to their temperature changes.
Specific Heat Calculation:
Positive energy change = rise in temperature; negative energy change = fall in temperature.
Aluminum Block in Water:
Aluminum (100g) at 100.0°C mixed with water (100g) at 10.0°C; final temperature = 26.0°C. Specific heat calculated using mC(Tf - Ti).
Metal Weights Calculation:
Fishing weights (100g at 100°C) placed in water (100g at 35°C); final temperature = 45°C. Specific heat determined.
Water Mixture Calculation:
Mixing 200g of water at 80°C with 200g of water at 10°C results in final temperature of 45°C.
Water Mixed at Different Temperatures:
400g water at 15°C mixed with 400g water at 85°C; the final equilibrium temperature calculated to be 50.0°C.
Adding Methanol:
Addition of 400g methanol at 15°C to the previous mixture; equilibrium calculated to be 42.1°C.
Collision Dynamics:
Objects absorb energy, exchange kinetic energy, or lose energy to the environment during collisions.
Particle Energy in Gases:
Gases possess both linear and rotational kinetic energy.
Potential Energy Causes:
Potential energy in materials results from internal bonds and particle interactions.
Energy Transfer Causes:
Caused by temperature gradients and collisions with container walls.
Uniform temperature distribution results from particle collisions.
Kinetic Theory: Explains the relationship between random particle motion and macroscopic properties.
Behavior of Helium Balloon:
Expands in sunlight due to increased speed and frequency of collisions of helium atoms.
Solids' Atomic Behavior:
Atoms in solids vibrate in place but do not move.
Absolute Zero:
Atoms become motionless when cooled to absolute zero, considered the lowest possible temperature.
Temperature Definition: Depends on the average kinetic energy of particles, independent of the total number of particles.
Thermal Energy: Depends on both temperature and number of particles; larger objects at the same temperature have more thermal energy.
Thermometer Function: Thermal energy transfer occurs when placed in contact with bodies, leading to temperature equilibrium.
Kinetic Energy Comparison: Particle kinetic energy varies between thermometer and body.
Thermal Conduction Defined: Transfer of thermal energy through particle collisions, especially in solids.
Skin and Thermometer Interaction: Thermal energy transfers from skin to thermometer upon contact.
Equilibrium: Occurs when the thermometer and body reach the same temperature; energy transfer stops.
Energy Distribution: Systems naturally move towards uniform energy distribution.
Upper Temperature Limit: No known maximum but absolute zero indicates the minimal kinetic energy scenario.
Significance of Absolute Zero: Atoms lose all thermal energy and kinetic energy, marking it as the lowest temperature.
Heat Definition: The transfer of thermal energy from hotter to cooler regions.
Heat Flow Direction: Naturally from hot to cold.
SI Unit: Joule (J).
Positive Heat Absorption: Indicates a gain in thermal energy.
Example of Conduction: A spoon heating in coffee.
Convection: Heat transfer through fluid movement.
Radiation: Heat transfer through electromagnetic waves.
Thermal Equilibrium: The state where heat transfer ceases between bodies.
Metal Thermal Conductivity: Metals feel colder due to their rapid heat conduction compared to wood.
Specific Heat Definition: Energy required to raise the temperature of a unit mass by 1°C.
Water's Heating Characteristics: Takes longer to heat due to higher specific heat than metals.
Heat Transfer Examples: The warmth from a bonfire is attributed to radiation.