Final answer:
The quantity 2,250 J per gram of water refers to the heat of vaporization, which is the energy needed to evaporate water. This is different from the specific heat capacity of water, which is 4.184 J/g °C. Calculating the evaporation time involves knowing both the initial mass of the water and the rate of energy input.
Step-by-step explanation:
The information about the amount of energy required to evaporate water relates to the heat of vaporization of water. This is a thermodynamic property that indicates the amount of heat needed to turn 1 gram of a liquid into a gas at constant temperature and pressure.
In this case, the heat of vaporization of water is about 2,250 J per gram. This is distinct from the specific heat capacity, which is the energy required to raise the temperature of 1 gram of water by 1 °C. For water, this is 4.184 J/g °C.
Given it takes 2,250 J to evaporate 1 gram of water, if you're injecting energy at a constant rate throughout the process, calculating the time to completely evaporate the water would require knowing the mass of the water initially present and the rate at which energy is being added.
The process involves first heating the water to boiling, then supplying additional energy to change the state from liquid to vapor without changing the temperature, represented by the heat of vaporization. The entire amount of energy needed would be the sum of energy to heat the water to boiling plus the energy represented by the heat of vaporization.