← Science SchoolAdministration

E-TRADE TOGETHER GLOBAL ACADEMY

Thermodynamics Foundations

Level 5 · Physics & Physical Modeling · Prerequisite: Course 2.2 · Connects to Mechanical Design and Energy Engineering

ACADEMICALLY VERIFIED · MATHEMATICAL FOUNDATIONS FORMAT PARITY PASS · MOBILE QA ENVIRONMENT BLOCKED

6 canonical classes · 2 laboratories · 3 module assessments · project · final

Administrator review mode

No payment, enrollment or prerequisite restriction. Review content is available only to authorized administrators.

UI/UX authority: current Mathematical Foundations implementation. Rendered-content verification requires format parity.

MODULE 1

Thermodynamic Systems, State & Energy

Define boundaries, distinguish state from process, and account for temperature, heat, energy and work.

Dependencies: Course 2.2; algebra, calculus, graphs and SI units.

5.4.1 · v1 · 90 minutes

Temperature and heat

Why it matters

Temperature and heat-transfer models support thermal safety, comfort, electronics and energy engineering.

Prerequisites

Course 2.2 and preceding canonical classes where applicable.

Concept and explanation

Temperature is a state variable related to thermal equilibrium. Heat Q is energy transferred across a boundary because of temperature difference; it is not a substance stored in an object. Internal energy is microscopic stored energy of the system.

Key terms

system; surroundings; boundary; state; process; equilibrium; temperature; heat; internal energy; heat capacity

Notation and representation

T in K for absolute-temperature formulas; temperature differences may use K or °C. Q in J; specific heat c in J/(kg·K).

Physical system / model

Closed solid body exchanging energy with a thermal environment; uniform temperature approximation, known mass and constant specific heat over the stated range.

Mathematical development

For sensible heating without phase change, Q=mcΔT. Thermal equilibrium means no net heat transfer between systems in contact, not equal stored energy.

Learning objectives

  • Distinguish temperature, heat and internal energy.
  • Use thermal equilibrium, temperature scales and heat-capacity models with units.

Worked examples

Worked example 1

Physical situation; system/boundary; states; given; goal: A 2.0 kg block with c=500 J/(kg·K) warms from 20°C to 30°C. Find energy transferred in.

Assumptions; law; sign convention; development; calculation; units: System: block. Q=mcΔT=2.0·500·10=10,000 J, positive into the system.

Validation; physical interpretation; limitations: kg·J/(kg·K)·K=J. Constant-c and negligible-loss assumptions limit the result.

Worked example 2

Physical situation; system/boundary; states; given; goal: Convert 27°C to kelvin for an absolute-temperature model.

Assumptions; law; sign convention; development; calculation; units: T=27+273.15=300.15 K.

Validation; physical interpretation; limitations: Kelvin has the same interval size as Celsius but a different zero; ratios require K.

Common mistake and counterexample

Incorrect: a hot object contains heat. It contains internal energy; heat describes energy crossing its boundary during a process.

Guided practice

  1. Rebuild Worked Example 1 with the system, boundary, states, sign convention and units visible.
  2. Change one state or process input, predict the effect, calculate it and validate independently.

Knowledge Check and Summary

  1. Identify the system, surroundings and boundary.
  2. State variables, process and sign convention.
  3. Carry units and absolute temperature where required.
  4. Validate by energy balance, bounds or an independent case.

Mastery criterion: 4/4 correct with system, states, units, sign convention and independent validation. Correct each miss and complete a fresh equivalent check.

Related Laboratory

Next class: Energy and work