In an experiment to verify Newton’s law of cooling, a graph is plotted between, the temperature difference (ΔT) of the water and surroundings and time as shown in mentioned in the graph will be ______

Engineering

Physics

Thermodynamics

Question

In an experiment to verify Newton’s law of cooling, a graph is plotted between, the temperature difference (ΔT) of the water and surroundings and time as shown in mentioned in the graph will be _______.

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ΔT = T_water – T_sourrounding = T – T_s

At t = 0 ΔT = 60 and T = 80°C

80 – Ts = 60 ∴ T_s = 20°C

Newton law of cooling

$- \frac{(T_{f} - T_{i})}{Δt} = k (\frac{T_{1} + T_{fi}}{2} - T_{s})$

Between 0 to 6 minute

$\frac{20}{6 \min} = k [(\frac{40 + 20}{2} + 20) - 20]$

Between 6 to t2 minute

$\frac{20}{t_{2} - 6} = k [(\frac{40 + 20}{2} + 20) - 20]$

After divided by t₂ = 16 min.

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