Eleanor HayesDisclosure: This post contains affiliate links, which means we may earn a commission if you purchase through our links at no extra cost to you.
345 cal equals approximately 0.0004009 kilowatts. This means the energy content of 345 calories converted into kilowatts results in a very small number, since calories measure energy and kilowatts measure power output over time.
Calories (cal) measure energy, while kilowatts (kW) are a unit of power, which is energy per unit time. To convert from calories to kilowatts, we need to convert calories into joules first, then relate joules to watts (joules per second). Since 1 watt = 1 joule/second, the conversion must account for the time scale to get kilowatts.
Conversion Tool
Result in kilowatt:
Conversion Formula
The conversion from calories (cal) to kilowatts (kW) involves two steps: first converting calories to joules, then joules per second to kilowatts.
1 calorie equals 4.184 joules. Power in watts is joules per second. So to convert energy in calories to power in kilowatts, the formula is:
kilowatt (kW) = (calories × 4.184) ÷ 3,600,000
Why divide by 3,600,000? Because 1 kilowatt is 1000 joules per second, and there are 3600 seconds in an hour. Converting joules to kilowatt-hours involves dividing by 3,600,000 (1000 × 3600), so when expressing power in kW over an hour, we use this factor.
Example: Convert 345 cal to kilowatt:
- Multiply calories by 4.184: 345 × 4.184 = 1443.48 joules
- Divide by 3,600,000 to convert to kilowatts: 1443.48 ÷ 3,600,000 ≈ 0.0004009 kW
Conversion Example
- Convert 400 cal to kilowatt:
- 400 × 4.184 = 1673.6 joules
- 1673.6 ÷ 3,600,000 = 0.000465 kW
- Convert 500 cal to kilowatt:
- 500 × 4.184 = 2092 joules
- 2092 ÷ 3,600,000 = 0.000581 kW
- Convert 350 cal to kilowatt:
- 350 × 4.184 = 1464.4 joules
- 1464.4 ÷ 3,600,000 = 0.0004068 kW
- Convert 375 cal to kilowatt:
- 375 × 4.184 = 1569 joules
- 1569 ÷ 3,600,000 = 0.000436 kW
Conversion Chart
This table shows the conversion of calories between 320.0 and 370.0 into kilowatt. To use, find the calorie value in the left column and read across to see the kilowatt equivalent.
| Calories (cal) | Kilowatts (kW) |
|---|---|
| 320.0 | 0.000372 |
| 325.0 | 0.000378 |
| 330.0 | 0.000384 |
| 335.0 | 0.000389 |
| 340.0 | 0.000395 |
| 345.0 | 0.000400 |
| 350.0 | 0.000406 |
| 355.0 | 0.000412 |
| 360.0 | 0.000418 |
| 365.0 | 0.000424 |
| 370.0 | 0.000429 |
Related Conversion Questions
- How many kilowatts is 345 calories when converted?
- What formula do I use to convert 345 cal to kilowatt?
- Is 345 cal equal to more or less than 0.001 kW?
- Can I convert 345 calories directly to kilowatts without joules?
- What’s the power output in kilowatt for 345 cal energy?
- How long does 345 cal sustain 1 kW of power?
- How accurate is converting 345 cal to kilowatt using the standard formula?
Conversion Definitions
Calorie (cal): A calorie is a unit of energy measurement, originally defined as the amount of heat required to raise the temperature of 1 gram of water by 1 degree Celsius at standard pressure. It is commonly used to quantify food energy and thermal heat.
Kilowatt (kW): A kilowatt is a unit of power equal to 1000 watts. It measures the rate at which energy is used or produced, equivalent to one joule per second multiplied by 1000. Kilowatts are used for electric power and mechanical power ratings.
Conversion FAQs
Why do we divide by 3,600,000 when converting cal to kilowatts?
Dividing by 3,600,000 converts joules into kilowatt-hours by accounting for seconds in an hour and the 1000-watt factor in a kilowatt. Since power is energy per time, this step aligns energy units with a power unit expressed over time.
Can I use calories to directly measure power?
No, calories measure energy, which is a quantity of heat or work, while power measures how fast energy is used or transferred. To get power from calories, you must consider the rate energy is expended over time.
Is this conversion valid for dietary calories?
This conversion applies to small calories (cal) used in physics, not dietary Calories (kcal). Dietary Calories are 1000 times larger, so converting dietary calories requires adjusting the value accordingly.
How precise is the conversion factor of 4.184 joules per calorie?
The factor 4.184 joules per calorie is a standard scientific value. Some variations exist depending on the calorie definition, but 4.184 is widely accepted and accurate for most calculations.
What happens if I convert calories to kilowatts without time consideration?
Ignoring time results in mixing energy with power units, causing incorrect results. Power needs energy per second or hour, so time must be part of conversion to get watts or kilowatts.
