Luminarium Thermodynamics

Alexander Gromozonov Studio

PV = nRT

Initial State · State 1

Initial Pressure P₁ 100 kPa

Initial Volume V₁ 10.0 L

Initial Temperature T₁ 300 K

n = 0.401 mol · R = 8.314 J/(mol·K) · γ = 5/3

T = const · P·V = const

Final Volume V₂ 20.0 L

Isothermal: T = T₁ constant — drive the transition with volume.

P–V Diagram shaded area = work W = ∫P·dV

P–T Diagram isochors extrapolate through origin

V–T Diagram isobars extrapolate through origin

Work done by gas · W = ∫P dV 0 J area under the P–V path (expansion + / compression −)

Internal energy · ΔU = (3/2)·n·R·ΔT 0 J monoatomic ideal gas, c_V = (3/2)R

Heat exchanged · Q = ΔU + W 0 J first law of thermodynamics

V CONSTANT T CONSTANT ADIABATIC · Q = 0

P₂ = 50.0 kPa · V₂ = 20.0 L · T₂ = 300.0 K