Final answer:
The energy released by the heater is 180,000 Joules, while the energy required by the water is 2,834,800 Joules. The difference between the two values is due to heat loss to the surroundings.
Step-by-step explanation:
To find the energy released by the heater, we use the formula:
Energy = Power x Time
Given that the power of the heater is 500 W and the time is 6 minutes (or 360 seconds), we can plug in these values to get:
Energy = 500 W x 360 s = 180,000 J
Therefore, the energy released by the heater is 180,000 Joules.
To find the energy required by the water, we use the formula:
Energy = Mass x Specific Heat Capacity x Temperature Change
Given that the mass of the water is 2 kg, the specific heat capacity of water is 4190 J/kg°C, and the temperature change is 600°C - 30°C = 270°C, we can plug in these values to get:
Energy = 2 kg x 4190 J/kg°C x 270°C = 2,834,800 J
Therefore, the energy required by the water is 2,834,800 Joules.
The difference between the energy released by the heater and the energy required by the water is due to heat loss to the surroundings. Some of the energy released by the heater is lost as heat to the environment, which reduces the amount of energy available to heat the water. This is why there is a difference between the two values.
Learn more about energy transfer