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Lesson 1 · Reading the state
Four numbers, four meanings
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Four numbers, four meanings

Thermodynamics is bookkeeping on a substance's state: the handful of numbers that say what condition it is in right now. Before any equation earns its keep, you have to read those numbers correctly — and on a plant log sheet that is harder than it sounds, because two different quantities can wear the same unit.

Pressure is force per unit area, in pascals; plants work in kilopascals. It comes in two flavours that differ only in where they start counting. A gauge pressure reads zero when the tap is open to the room. An absolute pressure reads zero only in a perfect vacuum. They are linked by Pabs=Pgauge+PatmP_{abs} = P_{gauge} + P_{atm} — read aloud P-absolute equals P-gauge plus P-atmosphere — where PabsP_{abs} is the absolute pressure, PgaugeP_{gauge} is what the instrument shows, and PatmP_{atm} is the local barometric pressure, all three in the same unit. Write kPa(g) or kPa(a) every time; the bracket is not decoration.

Temperature has the same split. A temperature in °C is one point on a scale whose zero is a puddle freezing. A temperature in kelvin counts from absolute zero, where molecular motion stops. And a temperature difference is a third thing again: a span between two points, and because the two scales share a degree size, a span of 1 K and a span of 1 C° are identical. That is why ΔT\Delta T — delta T — may be quoted either way without harm, while an absolute temperature may not.

Finally, heat is energy in transit, in joules: Q=mcΔTQ = mc\Delta T, which the next lessons unpack. Note the word transit. A body does not contain heat; it contains internal energy, and heat is what crosses the boundary because of a temperature difference. Engineers say “the heat in the tank” and know better. You will too.

PabsPgaugePatm

Pabs=Pgauge+PatmP_{abs} = P_{gauge} + P_{atm}

  • PabsP_{abs}= Absolute pressure
  • PgaugeP_{gauge}= Gauge pressure
  • PatmP_{atm}= Atmospheric pressure

each variable a pressure

Gauge and Absolute Pressure solver →
mcpQΔT

Q=mcΔTQ = m c \Delta T

  • QQ= Heat energy (energy)
  • mm= Mass (mass)
  • cpc_p= Specific heat capacity (specific heat capacity)
  • ΔT\Delta T= Temperature change (temperature difference)
Sensible Heat (Q = mcΔT) solver →