Final answer:
To determine the heating duration, one must calculate the energy needed to raise the temperature of water to its boiling point using the specific heat capacity, then divide this energy by the microwave's power output.
Step-by-step explanation:
The student is asking about the time required to heat 250 grams of water from 24.3 degrees Celsius to its boiling point using a microwave that supplies 1.000 kilojoules per second. Given that the specific heat of water is 4.184 J/g °C, we can calculate the energy required to heat the water. We also know the boiling point of water, which is 100°C, so we have a temperature change (ΔT) of 100°C - 24.3°C = 75.7°C. The energy needed (Q) is given by Q = mass × specific heat × temperature change, or Q = 250 g × 4.184 J/g°C × 75.7°C.
After calculating Q, we then determine the time (t) required by dividing the energy needed by the power of the microwave, t = Q / power. Since the microwave provides 1.000 kJ per second (which is 1000 J/s), and we are looking for the time in minutes, we should convert the final time from seconds to minutes by dividing by 60.