345 calories is approximately 0.001418 kilowatts. This conversion is done by first converting calories to joules, then converting joules per second to kilowatts.
Calories measure energy, while kilowatts measure power (energy per time). Since 1 calorie equals 4.184 joules, and power involves energy over time, the conversion involves dividing the energy amount by a time unit, typically seconds, to get kilowatts.
Conversion Tool
Result in kilowatt:
Conversion Formula
The formula to convert calories (cal) to kilowatts (kW) involves two steps. First, convert calories to joules by multiplying the calorie value by 4.184, because 1 calorie equals 4.184 joules.
Next, since power in watts is energy per second, dividing joules by 1000 converts watts to kilowatts. The overall formula is:
kW = (cal × 4.184) / 1000
This formula works because a calorie is a unit of energy, and a watt (or kilowatt) is a unit of power, which measures energy flow per time. By assuming the energy is released or consumed in one second, joules per second equal watts.
Example calculation for 345 cal:
- Multiply 345 cal × 4.184 = 1443.48 joules
- Convert joules to kilowatts by dividing by 1000 = 1.44348 watts = 0.00144348 kilowatts
- Rounded result: 0.0014 kW
Conversion Example
Convert 400 calories to kilowatts step-by-step:
- Multiply 400 cal by 4.184 to get joules: 400 × 4.184 = 1673.6 J
- Convert joules to watts by assuming 1 second interval: 1673.6 W
- Divide by 1000 to get kilowatts: 1673.6 / 1000 = 1.6736 kW
- Final result: 0.001674 kW (rounded to six decimals)
Convert 360 calories:
- 360 × 4.184 = 1506.24 joules
- 1506.24 / 1000 = 1.50624 watts
- Result: 0.001506 kW
Convert 330 calories:
- 330 × 4.184 = 1381.72 joules
- 1381.72 / 1000 = 1.38172 watts
- Result: 0.001382 kW
Conversion Chart
| Calories (cal) | Kilowatts (kW) |
|---|---|
| 320.0 | 0.001339 |
| 325.0 | 0.001361 |
| 330.0 | 0.001382 |
| 335.0 | 0.001403 |
| 340.0 | 0.001424 |
| 345.0 | 0.001445 |
| 350.0 | 0.001466 |
| 355.0 | 0.001487 |
| 360.0 | 0.001507 |
| 365.0 | 0.001528 |
| 370.0 | 0.001549 |
This chart converts calories from 320 to 370 in increments of 5 cal, showing their corresponding kilowatt values. You can use this to quickly estimate the kilowatt power for any calorie value within this range without doing the math yourself.
Related Conversion Questions
- How many kilowatts equal 345 calories in energy per second?
- What is the formula to convert 345 cal to kilowatts correctly?
- Is 345 calories a large or small amount in kilowatts?
- Can I convert 345 cal to kilowatts without knowing the time factor?
- How does 345 calories compare to 1 kilowatt hour?
- What is the difference between calories and kilowatts when converting 345 cal?
- Why does converting 345 calories to kilowatts require dividing by 1000?
Conversion Definitions
cal (calorie): A calorie is a unit measuring energy, originally defined as the amount of heat needed to raise the temperature of 1 gram of water by 1 degree Celsius. It is used in nutrition and physics, equal to approximately 4.184 joules. There are different calorie types, such as small calorie and large Calorie.
kilowatt (kW): A kilowatt is a unit of power equal to 1000 watts, where a watt measures energy transfer rate of one joule per second. Kilowatts are used to express the rate at which energy is used or produced, commonly seen in electrical appliances and power plants to quantify power output or consumption.
Conversion FAQs
Can I convert calories directly to kilowatts without specifying time?
No, calories measure energy, while kilowatts measure power, which is energy over time. Without specifying or assuming the time interval (usually one second), the conversion from calories to kilowatts is incomplete or meaningless, because power depends on how fast energy is transferred or used.
Why do I divide by 1000 when converting calories to kilowatts?
After converting calories to joules, you get energy in joules. Since 1 watt equals 1 joule per second, dividing joules by time gives watts. Then dividing watts by 1000 converts watts to kilowatts, because 1 kilowatt equals 1000 watts. The division by 1000 scales the unit properly.
Is 345 calories a large power value in kilowatts?
345 calories converted to kilowatts is about 0.0014 kW, which is a very small power value compared to everyday electrical appliances that often use several kilowatts. Calories measure energy, so the actual power depends on how fast this energy is used, but for 345 cal per second, power is quite low.
What if the calorie energy is used in more or less than one second?
If the energy represented by calories is released over a different time interval, then power in kilowatts changes accordingly. For example, if 345 cal is released over 2 seconds, power is half as much as when released in 1 second. Power depends on both energy and time involved.
Are all calories equal when converting to kilowatts?
No, there are “small” calories (cal) and “large” Calories (Cal), where 1 Calorie = 1000 calories. The conversion assumes small calories; using large Calories without conversion would cause errors. Always verify which calorie unit is used before converting to kilowatts to avoid mistakes.
