345 Cal to Kilowatt – Answer with Formula

345 calories equals approximately 0.000399 kilowatts. This conversion shows how energy measured in calories can be expressed in power units like kilowatts, reflecting the rate of energy transfer.

To convert calories (cal) to kilowatts (kW), first convert calories to joules, then divide by seconds to get watts, and finally divide by 1000 to get kilowatts. This process connects energy amount to power output over time.

Conversion Tool

Conversion Formula

The conversion from calories to kilowatts involves two main steps. First, calories must convert to joules, because calorie is a unit of energy, and joule is the SI unit of energy. 1 calorie equals 4.184 joules.

Then, since kilowatt is a unit of power (energy per time), the joules are divided by the number of seconds over which the energy is used to get watts, and also divided by 1000 to convert watts to kilowatts.

Formula:
kilowatts = (calories × 4.184) ÷ (3600 seconds × 1000)

For example, converting 345 cal:
Step 1: 345 cal × 4.184 = 1443.48 joules
Step 2: 1443.48 ÷ 3600 = 0.401 joules/second (watts)
Step 3: 0.401 ÷ 1000 = 0.000401 kilowatts

Conversion Example

• Convert 400 cal to kilowatts:
  • Multiply 400 by 4.184 → 400 × 4.184 = 1673.6 joules
  • Divide by 3600 seconds → 1673.6 ÷ 3600 = 0.465 watts
  • Convert to kilowatts → 0.465 ÷ 1000 = 0.000465 kW
• Convert 500 cal to kilowatts:
  • 500 × 4.184 = 2092 joules
  • 2092 ÷ 3600 = 0.581 watts
  • 0.581 ÷ 1000 = 0.000581 kW
• Convert 360 cal to kilowatts:
  • 360 × 4.184 = 1506.24 joules
  • 1506.24 ÷ 3600 = 0.418 watts
  • 0.418 ÷ 1000 = 0.000418 kW

Conversion Chart

This chart shows calorie values from 320 to 370, with each converted to kilowatts. To use it, find the calorie value closest to your number and see corresponding kilowatt output. This helps quick estimation without calculation.

Related Conversion Questions

• How many kilowatts equal 345 calories burned during exercise?
• What is the power output in kilowatts for 345 cal consumed in an hour?
• Can 345 cal be converted directly to kilowatts without time factor?
• How to calculate kilowatt equivalent of 345 calories in 30 minutes?
• Is 345 cal close to 0.0004 kilowatts or more?
• What formula converts 345 cal to kilowatt correctly?
• How does calorie to kilowatt conversion change with time intervals?

Conversion Definitions

cal (calorie): A calorie is a unit of energy, specifically the amount of heat needed to raise the temperature of 1 gram of water by 1 degree Celsius at standard pressure. It is widely used in food energy measurement but not an SI unit.

kilowatt (kW): Kilowatt is a unit of power equal to one thousand watts. Power measures the rate of energy transfer or conversion. A kilowatt is commonly used to express the output of engines and the power consumption of electrical devices.

Conversion FAQs

Why do we divide by 3600 when converting calories to kilowatts?

Because kilowatt is a power unit (energy per second), the total energy in joules must be divided by the number of seconds to find power. 1 hour has 3600 seconds, so dividing by 3600 converts energy over an hour into watts (joules per second).

Can calories be converted to kilowatts without knowing the time interval?

No, calories measure energy, but kilowatts measure power which depends on the rate of energy use over time. Without specifying the time, an energy value alone cannot be converted to power units.

Is the conversion factor 4.184 exact for all types of calories?

The factor 4.184 joules per calorie refers to the “thermochemical calorie,” which is a precise definition used in science. Other calorie definitions exist, like the “food calorie” (kilocalorie), which is 1000 times larger, so distinctions matter in conversion.

Why is the kilowatt value so small when converting from calories?

Because a calorie is a relatively small energy unit and kilowatt is a large power unit related to energy per second, the converted value becomes very small, especially when considering an hour as time interval.

How do I convert food calories (kcal) to kilowatts?

Food calories equal kilocalories (kcal), which are 1000 times a calorie. To convert kcal to kilowatts, first multiply by 1000 to get calories, then use the same conversion formula. This makes the kilowatt value larger accordingly.

Last Updated : 06 July, 2025

Sandeep Bhandari

Sandeep Bhandari holds a Bachelor of Engineering in Computers from Thapar University (2006). He has 20 years of experience in the technology field. He has a keen interest in various technical fields, including database systems, computer networks, and programming. You can read more about him on his bio page.