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10. To prepare coffee, water has to be boiled starting from room temperature t_{1} = 15 deg * C Assuming that the electric kettle is 50% efficient, how much does it cost to boil 1 liter if electricity costs 10 ngwe per kWh?
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10. To prepare coffee, water has to be boiled starting from room tempe...
Introduction
To calculate the cost of boiling 1 liter of water from room temperature (15°C) to boiling point (100°C), we need to determine the energy required and then the cost based on electricity rates and kettle efficiency.
Energy Calculation
- Specific Heat Capacity of Water: Approximately 4.186 kJ/kg°C
- Temperature Change:
- Final Temperature: 100°C
- Initial Temperature: 15°C
- ΔT = 100 - 15 = 85°C
- Mass of Water: 1 liter of water = 1 kg
- Energy Required (Q):
- Q = mass * specific heat * ΔT
- Q = 1 kg * 4.186 kJ/kg°C * 85°C = 355.81 kJ
- Convert kJ to kWh:
- 1 kWh = 3,600 kJ
- Energy in kWh = 355.81 kJ / 3,600 kJ/kWh ≈ 0.098 kWh
Kettle Efficiency
- Efficiency of Kettle: 50%
- Actual Energy Consumed:
- Energy required = Energy in kWh / Efficiency
- Energy consumed = 0.098 kWh / 0.50 = 0.196 kWh
Cost Calculation
- Electricity Cost: 10 ngwe per kWh
- Total Cost:
- Cost = Energy consumed * Cost per kWh
- Cost = 0.196 kWh * 10 ngwe/kWh = 1.96 ngwe
Conclusion
- To boil 1 liter of water from room temperature to boiling point using a 50% efficient kettle costs approximately 1.96 ngwe.
To calculate the cost of boiling 1 liter of water from room temperature (15°C) to boiling point (100°C), we need to determine the energy required and then the cost based on electricity rates and kettle efficiency.
Energy Calculation
- Specific Heat Capacity of Water: Approximately 4.186 kJ/kg°C
- Temperature Change:
- Final Temperature: 100°C
- Initial Temperature: 15°C
- ΔT = 100 - 15 = 85°C
- Mass of Water: 1 liter of water = 1 kg
- Energy Required (Q):
- Q = mass * specific heat * ΔT
- Q = 1 kg * 4.186 kJ/kg°C * 85°C = 355.81 kJ
- Convert kJ to kWh:
- 1 kWh = 3,600 kJ
- Energy in kWh = 355.81 kJ / 3,600 kJ/kWh ≈ 0.098 kWh
Kettle Efficiency
- Efficiency of Kettle: 50%
- Actual Energy Consumed:
- Energy required = Energy in kWh / Efficiency
- Energy consumed = 0.098 kWh / 0.50 = 0.196 kWh
Cost Calculation
- Electricity Cost: 10 ngwe per kWh
- Total Cost:
- Cost = Energy consumed * Cost per kWh
- Cost = 0.196 kWh * 10 ngwe/kWh = 1.96 ngwe
Conclusion
- To boil 1 liter of water from room temperature to boiling point using a 50% efficient kettle costs approximately 1.96 ngwe.
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10. To prepare coffee, water has to be boiled starting from room temperature t_{1} = 15 deg * C Assuming that the electric kettle is 50% efficient, how much does it cost to boil 1 liter if electricity costs 10 ngwe per kWh?
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10. To prepare coffee, water has to be boiled starting from room temperature t_{1} = 15 deg * C Assuming that the electric kettle is 50% efficient, how much does it cost to boil 1 liter if electricity costs 10 ngwe per kWh? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 10. To prepare coffee, water has to be boiled starting from room temperature t_{1} = 15 deg * C Assuming that the electric kettle is 50% efficient, how much does it cost to boil 1 liter if electricity costs 10 ngwe per kWh? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 10. To prepare coffee, water has to be boiled starting from room temperature t_{1} = 15 deg * C Assuming that the electric kettle is 50% efficient, how much does it cost to boil 1 liter if electricity costs 10 ngwe per kWh?.
10. To prepare coffee, water has to be boiled starting from room temperature t_{1} = 15 deg * C Assuming that the electric kettle is 50% efficient, how much does it cost to boil 1 liter if electricity costs 10 ngwe per kWh? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 10. To prepare coffee, water has to be boiled starting from room temperature t_{1} = 15 deg * C Assuming that the electric kettle is 50% efficient, how much does it cost to boil 1 liter if electricity costs 10 ngwe per kWh? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 10. To prepare coffee, water has to be boiled starting from room temperature t_{1} = 15 deg * C Assuming that the electric kettle is 50% efficient, how much does it cost to boil 1 liter if electricity costs 10 ngwe per kWh?.
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