A thermodynamic question

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a cylindrical tank of height 2m with a cross sectional area of 0.5m^2 contains hot water at 80oC , 125kPa.it is in a room with temperature To=20oC , so it slowly loses energy to the room air proportional to the temperature difference as Qloss=CA(T-To) with the tank surface area,A, C is a constant.for different values of the constant C,estimate the time it takes to bring the water to 50oC.make enough simlifying assumptions so that you can solve the problem mathematically, that is find a formula for T(t).
T-To=delta T=derivative of T(t) .should i integrate after doing this?but i don t know Qloss.at t=0 Qloss=60CA .
 

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