Final answer:
To calculate the time it takes for the pot to completely boil dry, we need to consider the amount of energy required to heat the water and the power of the hot plate. The specific heat capacity of water is used to calculate the energy required to increase the temperature of the water. By rearranging the formula for energy and substituting the values into the formula for time, we can calculate the time it takes for the pot to completely boil dry.
Step-by-step explanation:
The power rating of an electrical device is given in watts (W), which represents the amount of energy it consumes per unit of time. In this case, the hot plate consumes 1500 W of electrical power during use.
To calculate the time it takes for the pot to completely boil dry, we need to consider the amount of energy required to heat the water and the power of the hot plate. The formula to calculate energy is E = P * t, where E is the energy in joules (J), P is the power in watts (W), and t is the time in seconds (s).
To find the time, we can rearrange the formula to t = E / P. Since all the electrical energy goes into heating the water, we can use the specific heat capacity of water to calculate the energy required to increase the temperature of the water.
The specific heat capacity of water is 4.184 J/g°C. We can convert the volume of water from liters to grams by using the density of water, which is 1 g/mL.
Using the formula E = mcΔT, where m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature, we can calculate the energy required.
Since we know the volume of water is 1.5 L and the density of water is 1 g/mL, the mass of the water is 1.5 kg. The initial temperature of the water is 21.5°C, and we want to bring it to a boiling temperature of 100°C, so ΔT is 100 - 21.5 = 78.5°C.
Using the formula E = mcΔT, we have E = (1.5 kg) * (4.184 J/g°C) * (78.5°C).
Now, we can substitute the values into the formula t = E / P, where E is the energy calculated above and P is 1500 W.
Finally, we can calculate the time it takes for the pot to completely boil dry.