Newton's CoolingHardQuestion 30878
Question
Using Newton's law of cooling, if average temperature of cooling is T_avg and surroundings is T₀, cooling rate dT/dt is approximately:
- A−k(T_avg + T₀)
- B−k(T_avg − T₀)Correct
- C−kT_avg
- D−kT₀
Correct answer
−k(T_avg − T₀)
Explanation
Approximate Newton's law: ΔT/Δt ≈ −k(T_avg − T₀) where T_avg = (T₁+T₂)/2.