Part of THERM-01 — Thermodynamics & Kinetic Theory of Gases

Misconceptions: 10 Entries

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#MisconceptionTruth
1"Adiabatic means constant temperature."Adiabatic means Q = 0 (no heat exchange), not ΔT\Delta T = 0. Temperature changes significantly — expansion cools, compression heats.
2"In adiabatic expansion, ΔU\Delta U = 0."ΔU\Delta U = −W in adiabatic process. Expansion (W > 0) means ΔU\Delta U < 0, so internal energy and temperature decrease.
3"Carnot efficiency can be calculated in Celsius."Carnot formula η = 1 − T2T_{2}/T1T_{1} requires absolute (kelvin) temperatures. Using Celsius gives completely wrong answers.
4"A 100% efficient heat engine violates the First Law."A 100% efficient engine would violate the Second Law (Kelvin-Planck), not the First. Energy is still conserved if W = Q1Q_{1} and Q2Q_{2} = 0.
5"v_mp is the maximum possible molecular speed."v_mp is the most probable speed (peak of Maxwell distribution), not the maximum. Molecules can have any speed up to infinity (theoretically).
6"v_rms = v_avg because both are averages."v_rms ≠ v_avg. v_rms = √(3RT/M), v_avg = √(8RT/πM). v_rms > v_avg > v_mp always.
7"COP of a refrigerator is always less than 1."COP of a refrigerator = T2T_{2}/(T1T_{1}T2T_{2}) and can be much greater than 1. A fridge cooling from 300 K to 270 K has COP = 270/30 = 9.
8"The work done in a thermodynamic cycle is always zero."Work per cycle = area enclosed by the cycle on the PV diagram. For a clockwise cycle (engine), W > 0. Zero work would mean a cycle with zero area (degenerate).
9"Entropy decreases in a refrigerator because it makes things colder."The total entropy of the system + surroundings always increases. The refrigerator decreases entropy of the cold reservoir by increasing it more in the hot reservoir.
10"Internal energy of a gas depends on pressure and volume."For an ideal gas, U = (f/2)nRT depends only on temperature. At the same temperature, two states with different P and V have the same U.

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