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Step 1Given data:Temperature of room is: T_(s)=30^(@)FStep 2According to Newton's law of cooling:{:[-(dT)/(dt)=k(T-T_(s))],[(dT)/(dt)+kT=T_(s)k],[e^(jt)(dT)/(dt)+kTe^(itt)=30 ke^(itt)],[(d(Te^(jt)))/(dt)=30 ke^(it)],[Te^(itt)=30e^(itt)+c],[T=Ce^(-kt)+30]:}Substitute values for temperatures after time 10 min i.e., T(10)=0.{:[0=ce^(-10 k)+3 ... See the full answer