OlympIQ
Read before you solve · 3 min

Read Gas Cycles: Identify the Zero-Work Legs

This short read prepares one exact NSEP pattern: work in a mixed ideal-gas cycle. Identify the physical condition before calculating.

NSEP · Thermodynamics · 1 linked question · 100% coverage
Know this first

Work in a Mixed Ideal-Gas Cycle is the central idea in this question pattern. Identify the condition in the stem before applying the method below.

Study deeper: NCERT Physics · Thermodynamics

Start with the physical model

Read the configuration once, state the conserved quantity or governing law, and mark any changing geometry, sign convention or limiting condition.

Build the relation

For an ideal gas,
V=nRT/PV = nRT/P
PB = PC=2 atm and PA=PD=1 atm, the temperatures give VA=VB and VC=VD;

hence AB and CD are isochores and do no work. Only BC and DA contribute.

The volume change magnitude corresponds to ∆
V=nR(300−100)/PV = nR(300-100)/P
Thus net work
W=200nR=200×3×8.31≈4.99×103J=5.0kJW = 200 nR = 200\times 3\times 8.31 ≈ 4.99\times 103 J = 5.0 kJ

Check before selecting

Check units, sign and one limiting case. A valid result must still fit the original geometry and stated constraint.

OlympIQ exam lens

  • ✓Name the governing law before using a formula.
  • ✓Keep the stated geometry and direction information explicit.
  • ✓Use one unit or limiting-case check.
OlympIQ trap

A labelled cycle is not automatically a rectangle; obtain each volume from the ideal-gas law before deciding which legs do work.

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