NapkinCalc

Physics 4 — Thermo & Fluids

Heat & specific heat

continues from lesson 1 — values defined earlier in the course stay live here

Heat is energy in transit: Q = m·c·ΔT. Water's c is enormous (4186 J/kg·K) — which is why oceans tame climates and why boiling a liter takes real time:

mw:=1kgm_{w} := 1 kg = 1 kg one liter of water
cw:=4186J/(kgK)c_{w} := 4186 J/(kg*K) = 4186 J / (kg K) specific heat of water
dT:=80KdT := 80 K = 80 K from 20 °C to boiling
Qboil=mwcwdTQ_{boil} = m_{w} \cdot c_{w} \cdot dT = 334880 J ~335 kJ
tkettle:=Qboil/(2000W)t_{kettle} := Q_{boil} / (2000 W) = 167.44 s a 2 kW kettle needs ~167 s — check yours!