Consider a small hot metal object of mass m and specific heat c that is initially at a tem...

Consider a small hot metal object of mass m and specific heat c that is initially at a temperature of Ti. Now the object is allowed to cool in an environment at T∞ by convection with a heat transfer coefficient of h. The temperature of the metal object is observed to vary uniformly with time during cooling. Writing an energy balance on the entire metal object, derive the differential equation that describes the Variation of temperature of the ball with time, T(t) . Assume constant thermal conductivity and no heat generation in the object. Do not solve.