solve the differential equations by laplace theorem
A sphere of 3cm in diameter will be cooled by a chain of air at a temperature of 100 ° C (T∞). The EDO that represents this heat transfer is:
mCp dT/dt= α(T-T∞)As=32
being α = 1000W /m^2Kthe air convection coefficient. Also being the initial temperature equal to 298K and the properties of the sphere are(m=0,045kg;cp=1600;As=0,11m^2) (Find the algebraic expression that represents Temperature as a function of time. Trace T x t
answer:T(t) = 298 e^ 0,0153x – (-343,40 + 343,40e^ 0,0153x)
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