1. The problem statement, all variables and given/known data You have a position working with a group investigating biological mechanisms that determine a predisposition to obesity. Your assignment is to measure the rate that energy is output by certain types of cells when a nutrient is introduced. To begin this study, you have decided to use a calorimetric technique. A culture of cells with the appropriate nutrient is placed inside a closed container. That container is submerged in a water bath and you measure the rate that the temperature of the bath changes. To calibrate the apparatus, you decide to use a resistor connected across a known voltage as a power source. You know that the power output by the resistor is just the current through the resistor times the voltage across the resistor. You then will compare that power to the rate that the internal energy of the water bath changes by measuring its temperature as a function of time. To accomplish this calibration, you calculate the rate of temperature change as a function of the voltage across the resistor, the current through the resistor, the specific heat of the water, and the mass of the water. You know that even with good insulation, your apparatus will transfer some energy to the outside and your measurements will allow you to correct for this. So I am honestly not sure what I am trying to solve for. I know that we are measuring energy output and that a resistor is used as a power source and I believe it is water we are measuring in terms of a transfer in energy from the system into the surronding environment. However, I'm confused as to what I'm specifically trying to solve for? What is it that I need to compare and look for in this problem? Any input is appreciated.