NEB Class 12 • Physics • Focused Revision

First Law of Thermodynamics Study Guide: NEB 12 Physics

Build a reliable energy ledger before speed: define the system, control signs, read P–V paths and compare processes with delayed error retests.

  • Ten-minute sign and concept diagnostic
  • Seven-session process plan
  • P–V graphs, ledger drills and timed transfer
Thermodynamic energy ledger and heat engineA piston cylinder links heat, work and internal energy while a heat engine exchanges energy with hot and cold reservoirs.ΔU = Q − Wenginehot Thcold Tc
Define the system and sign convention before balancing heat, work, internal energy and entropy.

Study map

Organise every question around the energy ledger

The CDC page and curriculum control scope. Use three layers: state variables describe equilibrium; Q and W describe transfers during a path; the first law connects them. The concept guide provides detailed reference after retrieval.

DecisionEvidence
Systemboundary and surroundings named
Signsarrows for Q and W
Processconstant variable or Q=0
PathP–V sketch and area
State changeΔU consistent with initial/final states

Seven-session plan

Separate meaning, graph and calculation

  1. System, state, equilibrium, temperature, heat, work and internal energy.
  2. Sign convention and simple energy-ledger word problems.
  3. P–V graphs, dW=P dV, path dependence and cycle area.
  4. Isochoric and isobaric processes with worked comparisons.
  5. Isothermal ideal-gas and adiabatic processes with conditions.
  6. Heat capacities/ideal-gas internal energy at the taught depth.
  7. Mixed timed numericals, explanations, derivations and practical graph questions.

Begin with closed-book definitions and finish with a contrast problem. Space review after 1, 3, 7 and 21 days. A correct sign obtained by luck is not mastery; explain the energy arrow.

Sign workshop

Draw arrows before equations

Draw Q arrow into the system for positive heat. Draw W arrow out for positive work by system. Expansion tends to W>0; compression W<0. Then use ΔU=Q−W. If a source uses work-on-system, translate once and do not mix conventions.

Practise four cases: heating while expanding; cooling while compressed; adiabatic expansion; compression with heat rejection. For each, predict ΔU sign before numbers. Check with the OpenStax first-law sign table.

Ledger drill

Q=+700 J and W=+250 J gives ΔU=+450 J. Q=−100 J and W=−300 J gives ΔU=+200 J because compression input exceeds heat loss.

P–V graph workshop

Use area and endpoints for different jobs

Endpoints determine state-function change when enough state information is known. The path determines work. A vertical line gives W=0. A horizontal line gives rectangular PΔV. A curved path needs integration or graph area. In a closed cycle, ΔU=0 and enclosed signed area equals net work.

Compare two paths between A and B: the path with larger pressure during expansion has larger work, therefore it needs larger heat input for the same ΔU. This is a reasoning answer before calculation. Use the thermodynamic-process chapter for examples.

Graph units

Pa×m³=N m=J, confirming P–V area is energy.

Error repair

Record the first wrong thermodynamic decision

  • Heat as state variable: rewrite heat as transfer.
  • Mixed work convention: state W_by or W_on.
  • Isothermal=adiabatic: distinguish ΔT=0 from Q=0.
  • PΔV on curved path: use integral/area.
  • Cycle ΔU nonzero: final state equals initial.

Redo closed-book and retest with fresh signs two days later. Keep this unit in the Class 12 roadmap.

Timed checkpoint

Use a forty-five-minute mixed review

  1. Definitions and sign arrows.
  2. Constant-pressure work and ledger.
  3. Two-path P–V comparison.
  4. Process table and one derivation.
  5. Cycle interpretation and error audit.

For tuition call 9846662070. Use the MKS panel after Grade 12 for SAT/IELTS/PTE/DET and study-abroad pre-counselling.

Frequently asked questions

Questions while studying the First Law

What sign convention does this guide use?

Q is positive into the system and W is positive when done by the system, so ΔU=Q−W.

Is heat stored inside a gas?

Heat is energy transfer due to temperature difference; internal energy is a state property.

Why is work path dependent?

Boundary work depends on the pressure–volume path, represented by area under the P–V curve.

What happens in an isochoric process?

Volume does not change, so boundary work is zero and ΔU=Q under this convention.

What happens over a complete cycle?

The system returns to its initial state, so ΔU=0 and net Q equals net W.

Where can I get Thermodynamics tuition?

Call 9846662070 for current KTM Tuition online or physical schedules.

Checked sources

References and related learning

Apply the plan in the Practice Set. Sources were checked on 2 August 2026; follow current CDC, NEB and school notices if requirements change.

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