The lab instructor for EK307 is often seen with a bottle of soda. Previously unk

Question

The lab instructor for EK307 is often seen with a bottle of soda. Previously unknown to the students, there is a digital sensor in the bottle measuring the temperature of the soda at a rate of 2048 times per second. We may recall that soda has heat capacity. Heat capacity relates the flow of heat into a material to its temperature change. This can be modeled as a capacitor, where the capacitance is proportional to the amount of soda in the bottle. Voltage is analogous to temperature and the flow of heat is analogous to current. The soda bottle has heat flow properties that can be modeled as a resistance. For simplicity sake we will pretend that the heat transfer properties of the bottle do not change even if the soda quantity does. In reality we know they will because the soda-to-bottle surface area changes. Assume the room is at standard temperature and pressure (STP), and the instructor's body temperature is typical of a human. Now for the experiment: During the course of the lab session the instructor picks up the bottle with his warm hand, sips, and puts it down at a constant frequency. In the beginning of the lab session the temperature sensor does not detect much change in temperature. As the lab session progresses the temperature fluctuations increase. What is causing the increase in temperature fluctuation magnitude?

Explanation / Answer

As, capacitance is proportional to amount of soda in bottle , so as the instructor picks up the bottle and sips it down, amount of soda decreases . So, capacitance also decreases .

Therefore, due to change in capacitance , voltage also changes . So, this causes an increase in temperature fluctuation magnitude .

As, flow of heat is analogous to current so, this also causes change in current as , instructor touches the soda bottle with his warm hands .

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