A hot body placed in a container with surrounding temperature θ0=∛T and θ=√T behaves according to Newton’s law of cooling dT/dt=−k (θ − θ0). The temperature at t=0, T1=θ . Calculate the time it takes for the body to lose 80% of its maximum heat.

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A hot body placed in a container with surrounding temperature θ0=∛T and θ=√T behaves according to Newton’s law of cooling dT/dt=−k (θ − θ0). The temperature at t=0, T1=θ . Calculate the time it takes for the body to lose 80% of its maximum heat.

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