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Question: a pot of beef stew is being heated on a...

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A pot of beef stew is being heated on a stove. Assume that the stove conveys a constant heat flow Q into the pot. In the meantime, the pot dissipates heat into the ambient environment through convection in the form of h(T- To), where h is the heat transfer coefficient and To is 5. dt Here 0 is the difference between the current temp of the pot and that ambient temperature, (T - To), C is the heat capacitance of the pot depending on the specific heat and volume of the pot, etc. Assume that C, h, and Q are constants, answer the following questions. (You can assume the pot starts at ambient temperature at t = 0) a) What is the time constant of the pot? b) What is the steady-state relative temperature 0o of the pot? c) Solve the differential equation to find θ(t) d) Determine the time it takes to increase the relative temperature from 0 to 2

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