Final answer:
To calculate the mass of water that an athlete would need to perspire in order to avoid storage of energy in the body, we need to determine the energy released by the combustion of glucose and the heat required to evaporate water.
Step-by-step explanation:
To calculate the mass of water that an athlete would need to perspire in order to avoid storage of energy in the body, we need to determine the energy released by the combustion of glucose and the heat required to evaporate water.
The energy released by the combustion of glucose can be calculated using the enthalpy of combustion of glucose (-2800 kJ/mol) and the amount of glucose given (180g). The energy released is equal to the enthalpy of combustion multiplied by the number of moles of glucose, which can be obtained by dividing the mass of glucose by its molar mass.
The heat required to evaporate water can be calculated using the enthalpy of evaporation of water (44 kJ/mol) and the amount of water needed to be perspired. Assuming sweat is mostly water, we can estimate the amount of water perspired.