Answer :
Answer:
The energy transferred to the cooker is 3.2 kilowatt-hours.
The cost of heating the tank of water is 0.399 USD, or 39.9 cents.
Explanation:
a) To calculate the energy transferred to the cooker, you can use the formula:
Energy (kWh) = Power (kW) × Time (hours)
Given that the power of the cooker is 6.4 kW and the time is 30 minutes (which is 0.5 hours), you can calculate:
Energy = 6.4 kW × 0.5 hours = 3.2 kWh
So, the energy transferred to the cooker is 3.2 kilowatt-hours.
b) To calculate the cost of heating the water using the immersion heater, you need to find the total energy used and then multiply it by the cost of electricity.
First, calculate the energy used by the immersion heater:
Energy (kWh) = Power (kW) × Time (hours)
Given that the power of the immersion heater is 3000 W (which is 3 kW) and the time is 80 minutes (which is 80/60 = 1.33 hours), you can calculate:
Energy = 3 kW × 1.33 hours = 3.99 kWh
Now, to calculate the cost, you multiply the energy by the cost per kWh:
Cost = Energy (kWh) × Cost per kWh
Given that the cost of electricity is 10 cents per kWh (0.10 USD), you can calculate:
Cost = 3.99 kWh × 0.10 USD/kWh = 0.399 USD
So, the cost of heating the tank of water is 0.399 USD, or 39.9 cents.
