**Temperature conversion formulas** refer to changing the value of temperature from one unit to another. They are many temperature conversion methods. Among them Kelvin, Celsius and Fahrenheit are the most commonly used methods. According to the Kelvin scale, the freezing point of water is 273.15K and the boiling point is 373.15K. According to the Fahrenheit scale, the freezing point of water is 32°F and the boiling point is 212°F. According to the Celsius scale, the freezing point of water is 0°C and the boiling point is 100°C.

## What are Temperature Conversion Formulas?

There can be three main conversions of temperature which are:

- Conversion Between Celsius and Kelvin
- Conversion Between Fahrenheit and Kelvin
- Conversion Between Celsius and Fahrenheit

### Conversion of Temperature Between Celsius and Kelvin

**The temperature conversion formula from Celsius to Kelvin is:**

K = C + 273.15 |

**The temperature conversion formula from Kelvin to Celcius is:**

C = K − 273.15 |

### Conversion of Temperature Between Fahrenheit and Celsius

Fahrenheit to Celsius and Celsius to Fahrenheit formulas are listed below. These formulas will help to convert the temperature into required units.

**The temperature conversion formula from Fahrenheit to Celsius is:**

C = (F − 32) × 5⁄9 |

**The Temperature Conversion Formula from Celsius to Fahrenheit is:**

F = C(9⁄5) + 32 |

### Conversion of Temperature Between Fahrenheit and Kelvin

**The Temperature Conversion Formula from Fahrenheit to Kelvin is:**

K = (F − 32) × 5⁄9 + 273.15 |

**The Temperature Conversion Formula from Kelvin to Fahrenheit is:**

F = (K – 273.15) × 9⁄5 + 32 |

## Temperature Conversion Formula Table

Unit | To Celsius | To Fahrenheit | To Kelvin |
---|---|---|---|

Celsius (C) | C (°) | C(9⁄5) + 32 | C + 273.15 |

Fahrenheit | (F − 32) × 5⁄9 | F | (F − 32) × 5⁄9 + 273.15 |

Kelvin | K – 273.15 | (K – 273.15) * 9/5 + 32 | K |

## Solved Examples

**Question: What is 30°C in Kelvin?**

**Solution:**

The temperature conversion formula from Celsius to Kelvin is, K = C + 273.15

K = 30 + 273.15 K = 303.15

**Question 2: Convert 50°C to °F.**

Solution:

Celsius to Fahrenheit conversion formula is given by:

°F = °C(9⁄5) + 32

= 50 (9/5) + 32

= 90 + 32

= 122

Therefore, 50°C = 122°F

**Question 3: Convert 113°F to Kelvin.**

Solution:

Fahrenheit to Kelvin conversion formula is given by:

K = (F − 32) × 5⁄9 + 273.15

= (113 – 32) × (5/9) + 273.15

= 81 × (5/9) + 273.15

= 45 + 273.15

= 318.15

Therefore, 113°F = 318.15 K

**Question 4: Convert 225 K to Celsius.**

Solution:

Kelvin to Celsius conversion formula is given by:

C = K – 273.15

= 225 – 273.15

= -48.15

Therefore, 225 K = -48.15°C

## Temperature Conversion

**Temperature conversion** is the process of changing the value of temperature from one unit to another. Learn about the temperature conversion formulas as you scroll down. We measure temperature on scales like Kelvin, Celsius, and Fahrenheit, etc. According to the Kelvin scale, the freezing point and the boiling point of water are 273.15K and 373.15K respectively. According to the Fahrenheit scale, the freezing point and the boiling point of water are 32°F and 212°F respectively. According to the Celsius scale, the freezing point and the boiling point of water are 0°C and 100°C respectively. There can be three main conversions of temperature which are possible:

- Between Celsius and Kelvin.
- Between Fahrenheit and Kelvin.
- Between Celsius and Fahrenheit.

Let us learn more about the temperature conversion and the formulas along with examples.

## What are Temperature Conversion Formulas?

**Temperature conversion formulas** are defined as the conversion formulas for changing the value of temperature from one unit to another. They are various distinct temperature conversion methods. Kelvin, Celsius, and Fahrenheit are the most commonly used scales for temperature measurement. Here are the temperature conversion formulas:

- Celsius to Kelvin: K = C + 273.15
- Kelvin to Celcius: C = K – 273.15
- Fahrenheit to Celcius: C = (F-32) (5/9)
- Celsius to Fahrenheit: F = C(9/5) + 32
- Fahrenheit to Kelvin: K = (F-32) (5/9) + 273.15
- Kelvin to Fahrenheit: F = (K-273.15) (9/5) + 32

Before learning the temperature conversion formulas, let us recall the units of temperature in detail.

## Units of Temperature

Different units can be used to record the temperature. The three different units used for measuring temperature are Celsius (°C) Fahrenheit (°F), and Kelvin (K). Kelvin is the SI unit of measuring temperature, whereas Fahrenheit and Celsius are commonly used scales.

### Celsius

Celsius scale was Invented in 1742 by Swedish astronomer Anders Celsius and hence named after him. Celsius, also called centigrade, is based on the freezing point of water which is 0°, and the boiling point of water which is 100° The temperature in celsius is represented with °C. Normal human body temperature is 37°C.

### Fahrenheit

The Fahrenheit scale is a temperature scale developed by Daniel Gabriel Fahrenheit and hence named after him. This scale has the boiling point of water at 212° F and the freezing point at 32° F. The temperature in Fahrenheit is represented with °F. The normal human body temperature is 98.6°F.

### Kelvin

Kelvin is the SI unit of temperature. The unit symbol is K. It is named after the physicist William Thomson, 1^{st} Baron Kelvin (1824–1907). Here the degree symbol ° is not used to represent the temperature, unlike in Celsius or Fahrenheit.

## Temperature Conversion Formulas Between Celsius and Kelvin

Conversion of temperature between Celsius and Kelvin is done using the following formulas:

- The temperature conversion formula from Celsius to Kelvin is:

K = C + 273.15 - The temperature conversion formula from Kelvin to Celcius is:

C = K − 273.15

**Example: **Convert 16°C into Kelvin.

**Solution: **

C = 16°C (Given). Using the Celsius to Kelvin conversion formula,

K = C + 273.15

= 16 + 273.15

= 289.15 K

Therefore, 16°C is equivalent to 289.15 K.

## Temperature Conversion Formulas Between Fahrenheit and Celsius

Conversion of temperature between Fahrenheit and Celsius is done using the following formulas:

- The temperature conversion formula from Fahrenheit to Celsius is:

C = (F − 32) × 5/9 - The temperature conversion formula from Celsius to Fahrenheit is:

F = C(9/5) + 32

**Example:** What is 115°F on the Celsius scale?

**Solution:**

F = 115°F.

Using Fahrenheit to Celsius conversion formula,

C = (F − 32) × 5/9

= (115 − 32) × (5/9)

= 46.11°F

Therefore, 115°F is 46.11°C on the centigrade scale.

## Temperature Conversion Formulas Between Fahrenheit and Kelvin

Conversion of temperature between Fahrenheit and Kelvin is done using the following formulas:

- The temperature conversion formula from Fahrenheit to Kelvin is:

K = (F − 32) × 5/9 + 273.15 - The temperature conversion formula from Kelvin to Fahrenheit is:

F = (K – 273.15) × 9/5 + 32

**Example:** Convert 100 degrees Fahrenheit to Kelvin.

**Solution:**

Temperature in Fahrenheit, F = 100 F(Given). Using Fahrenheit to Kelvin Formula,

K = (F − 32) × 5/9 + 273.15

=(100 − 32) × 5/9 + 273.15

= 310.93 K

Therefore, 100 degree Fahrenheit = 310.93 K

## Temperature Conversion Table

Here is a temperature conversion table for your easy reference! The table includes the freezing point of water, the normal body temperature in humans, and the boiling point of water in all units of temperatures.

Kelvin | Celsius | Fahrenheit |
---|---|---|

273.15 K | 0° C (freezing point of water) | 32 °F |

274.15 K | 1° C | 33.8 °F |

275.15 K | 2 °C | 35.6 °F |

276.15 K | 3°C | 37.4 °F |

277.15 K | 4°C | 39.2 °F |

278.15 K | 5°C | 41.0 °F |

283.15 K | 10°C | 50.0 °F |

288.15 K | 15°C | 59.0 °F |

293.15 K | 20°C | 68.0 °F |

298.15 K | 25°C | 77.0 °F |

303.15 K | 30°C | 86.0 °F |

308.15 K | 35°C | 95.0 °F |

310.15 K | 37°C (Normal body temperature) | 98.6 °F |

313.15 K | 40°C | 104.0 °F |

323.15 K | 50°C | 122.0 °F |

333.15 K | 60°C | 140.0 °F |

343.15 K | 70°C | 158.0 °F |

353.15 K | 80°C | 176.0 °F |

363.15 K | 90°C | 194.0 °F |

373.15 K | 100°C (boiling point of water) | 212.0 °F |

473.15 K | 200 °C | 392.0 °F |

**Tips and Tricks on Temperature Conversion Formulas:**

- A simple trick to remember the temperature conversion formula without fractions is 5(°F)= 9(°C) +160.
- Another trick to convert Celsius to Fahrenheit is to multiply 1.8 to the Celsius degree and add 32.
- To find the approximate temperature in degrees Fahrenheit, subtract 30 from the Celsius and then divide by 2.

## Examples on Temperature Conversion Formulas

**Example 1:** We know that one degree Celsius is equal to 273.15 Kelvin. Calculate 30°C in Kelvin.

**Solution:**

To find: Convert 30°C in Kelvin.

Given,

One-degree Celsius is equal to 273.15 Kelvin.

Using temperature conversion formulas,

Kelvin (K) = Celsius(C) + 273.15

Putting the value:

K = 30 + 273.15 K = 303.15 K

= 303.15 K

**Answer:** 30°C in Kelvin is 303.15 K

**Example 2:** The body temperature is generally 98.6ºF. Find the body temperature in Celsius using temperature conversion formulas.

**Solution:**

To find: The body temperature in Celsius.

Given,

The body temperature on the Celcius scale is 98.6ºF.

The formula to convert Fahrenheit to Celsius is,

C = (F − 32) × 5/9

On putting the value, we get

C = (98.6 − 32) × 5/9

= 37°C

**Answer:** The body temperature in Celsius is 37°C.

**Example 3:** Convert 220 K to Celsius as well as Fahrenheit.

**Solution:**

We apply temperature conversion formulas.

Using Kelvin to Celsius conversion formula

C = K – 273.15

= 220 – 273.15

= -53.15°C

Using Kelvin to Fahrenheit conversion formula

F = (K – 273.15) × 9/5 + 32

= (220 – 273.15) × 9/5 + 32

= -53.15 × 9/5 + 32 = -95.67 + 32 = -63.67°F

**Answer:** 220K in Celsius is -53.15°C and Fahrenheit is -63.67°F.

## FAQs on Temperature Conversion Formulas

### What is Temperature Conversion Formula?

**Temperature conversion formulas** help in calculating the conversion change in the value of temperature from one unit to another. The most commonly used scales for temperature measurement include Kelvin, Celsius, and Fahrenheit.

- Celsius to Fahrenheit Conversion: °F = (9/5) × (°C) + 32
- Fahrenheit to Celsius Conversion: °C = (5/9) × (°F − 32)
- Celsius to Kelvin Conversion: K = °C + 273.15
- Fahrenheit to Kelvin Conversion: K = °F + 457.87

### How do you Convert Celsius to Fahrenheit Fast?

To convert Celsius to Fahrenheit quickly, multiply 1.8 to the Celsius degree and 32 to get the Fahrenheit equivalent. You could also double the Celsius degree and reduce it by 10% (which is basically 1.8 times) and add 32 to it.

### What is Celsius to Kelvin Temperature Formula?

The Celsius to Kelvin formula is the temperature conversion formula to convert temperature value from Celsius to Kelvin using the formula, K = C + 273.15

### How are the Variables In the Temperature Conversion Formula Related?

The variables in the temperature formulas are related with some constant values or conversion facts as given below.

- Temperature Conversion: Celsius and Kelvin

K = C + 273.15 and C = K − 273.15

- Temperature Conversion: Fahrenheit and Celsius

C = (F − 32) × 5/9 and F = C(9/5) + 32

- Temperature Conversion: Fahrenheit and Kelvin

K = (F − 32) × 5/9 + 273.15 and F = (K – 273.15) × 9/5 + 32

### What are the 4 Units of Temperature?

There are three temperature scales used commonly in our day-to-day lives: kelvin (K), centigrade or Celsius (C), and Fahrenheit (F). A fourth scale, known as the Rankine (R) temperature scale, is quite less often used, comparatively. The Kelvin is the S.I. unit of temperature measurement.

### How to Use Temperature Conversion Formulas?

To use temperature conversion formulas

- Step 1: Check for the unit of the given temperature values.
- Step 2: Identify the unit to convert the given temperature to.
- Step 3: Apply the appropriate formula: K = C + 273.15 and C = K − 273.15, C = (F − 32) × 5/9 and F = C(9/5) + 32, K = (F − 32) × 5/9 + 273.15 and F = (K – 273.15) × 9/5 + 32

### Which is Better Celsius or Fahrenheit?

The celsius scale is good for measuring the temperature of the water. But Fahrenheit is more precise and for convenience, people measure the air temperature using the Fahrenheit scale.

### The Temperature Conversion Formula

The conversion formulas we use are the standard ones that are used in most textbooks.

**To convert temperatures in degrees Fahrenheit to Celsius**, subtract 32 and multiply by .5556 (or 5/9).

- Example: (50°F – 32) x .5556 = 10°C

**To convert temperatures in degrees Celsius to Fahrenheit**, multiply by 1.8 (or 9/5) and add 32.

- Example: (30°C x 1.8) + 32 = 86°F’

Here are two handy charts that convert from F to C and also from C to F.

Fahrenheit | Celsius |
---|---|

-40°F | -40°C |

-30°F | -34°C |

-20°F | -29°C |

-10°F | -23°C |

0°F | -18°C |

10°F | -12°C |

20°F | -7°C |

32°F | 0°C |

40°F | 4°C |

50°F | 10°C |

60°F | 16°C |

70°F | 21°C |

80°F | 27°C |

90°F | 32°C |

100°F | 38°C |

Celsius | Fahrenheit |
---|---|

-40°C | -40°F |

-30°C | -22°F |

-20°C | -4°F |

-10°C | 14°F |

0°C | 32°F |

10°C | 50°F |

20°C | 68°F |

30°C | 86°F |

40°C | 104°F |

50°C | 122°F |

60°C | 140°F |

70°C | 158°F |

80°C | 176°F |

90°C | 194°F |

100°C | 212°F |

## How to Convert Temperatures

First, you need the formula for converting Fahrenheit (F) to Celsius (C):

- C = 5/9 x (F-32)

The notation C represents the temperature in Celsius, and F is the temperature in Fahrenheit. After you know the formula, it is easy to convert Fahrenheit to Celsius with these three steps.

- Subtract 32 from the Fahrenheit temperature.
- Multiply this number by five.
- Divide the result by nine.

For example, suppose the temperature is 80 degrees Fahrenheit and you want to know what the figure would be in Celsius. Use the above three steps:

- 80 F – 32 = 48
- 5 x 48 = 240
- 240 / 9 = 26.7

So the temperature in Celsius is 26.7 °C.

## Fahrenheit to Celsius Example

If you want to convert a normal human body temperature (98.6 °F) to Celsius, plug the Fahrenheit temperature into the formula:

- C = 5/9 x (F – 32)

As noted, your starting temperature is 98.6 F. So you would have:

- C = 5/9 x (F – 32)
- C = 5/9 x (98.6 – 32)
- C = 5/9 x (66.6)
- C = 37 C

Check your answer to ensure it makes sense. At ordinary temperatures, a Celsius value is always lower than the corresponding Fahrenheit value. Also, it’s helpful to keep in mind that the Celsius scale is based on the freezing and boiling points of water, where 0 °C is the freezing point and 100 °C is the boiling point. On the Fahrenheit scale, water freezes at 32 °F and boils at 212 °F.

## Conversion Shortcut

You often don’t need an exact conversion. If you’re traveling to Europe, for example, and you know the temperature is 74 °F, you might want to know the approximate temperature in Celsius. Here is a quick tip for making an approximate conversion:

**Fahrenheit to Celsius:** Subtract 30 from the Fahrenheit temperature and then divide by two. So, using the approximation formula:

- 74 F – 30 = 44
- 44 / 2 = 22 °C

(If you go through the previous formula’s calculations for the exact temperature, you arrive at 23.3.)

**Celsius to Fahrenheit: **To reverse the approximation and convert from 22 °C to Fahrenheit, multiply by two and add 30. So:

- 22 C x 2 = 44
- 44 + 30 = 74 °C

## Typical Temperatures

(only **bold** are exactly the same)

## Some Tricks:

Daily Temperatures: these three conversions “flip the digits” (accurate within 1°):

*°C °F
28 ⇄ 82
16 ⇄ 61
04 ⇄ 40 *

Oven Temperatures: in the range 150 to 200 °C we can **double °C to get °F** (accurate within 8°F):

°C | °F Estimate | °FActual |

200 | 400 | 392 |

180 | 360 | 356 |

160 | 320 | 320 |

150 | 300 | 302 |

Going the other way: for the range 300 to 400 °F we can **halve °F to get °C** (accurate within 4°C).

## Explanation

There are two main temperature scales:

**°C**, the**Celsius Scale**(part of the Metric System, used in most countries)**°F**, the**Fahrenheit Scale**(used in the US)

They both measure the same thing (temperature!), but use different numbers:

- Boiling water (at normal pressure) measures
**100° in Celsius, but 212° in Fahrenheit** - And as water freezes it measures
**0° in Celsius, but 32° in Fahrenheit**

Like this:

Looking at the diagram, notice:

- The scales start at a different number (0 vs 32), so we will need to add or subtract 32
- The scales rise at a different rate (100 vs 180), so we will also need to multiply

And so, to convert:

**°C to °F:** Divide by 5, then multiply by 9, then add 32

**°F to °C:** Subtract 32, then multiply by 5, then divide by 9

### Example: Convert 25° Celsius *(a nice warm day)* to Fahrenheit

*First:* 25° / 5 = 5

*Then:* 5 × 9 = 45

*Then:* 45 + 32 = **77° F**

### Example: Convert 98.6° Fahrenheit *(normal body temperature)* to Celsius

*First:* 98.6° − 32 = 66.6

*Then:* 66.6 × 5 = 333

*Then:* 333 / 9 = ** 37° C**

We can swap the order of divide and multiply if we want, but don’t change the add or subtract. So this is also OK:

### Example: Convert 98.6° Fahrenheit to Celsius (again)

*First:* 98.6° − 32 = 66.6

*Then:* 66.6 / 9 = 7.4

*Then:* 7.4 × 5 = ** 37° C**

(Same answer as before, was it easier or harder this way?)

We can write them as formulas:

## Other Methods That Work

**Use 1.8 instead of 9/5**

9/5 is equal to 1.8, so we can also use this method:

Fahrenheit to Celsius: (°F − 32) / 1.8 = °C

To make “×1.8” easier we can **multiply by 2 and subtract 10%**, but it only works for °C to °F:

**Example: Convert 20° Celsius (A nice day) to Fahrenheit**

**20**x2 = 40- less 10% is 40−4 = 36
- 36+32 =
**68° F**

### Add 40, Multiply, Subtract 40

Since both scales cross at **−40°** (−40° C equals −40° F) we can:

- add 40,
- multiply by 5/9 (for °F to °C), or 9/5 (for °C to °F)
- subtract 40

Like this:

Fahrenheit to Celsius: Add 40, multiply by 5/9, then subtract 40

Example: Convert 10° Celsius *(A cool day)* to Fahrenheit

**10**+40 = 50- 50×9/5 = 90
- 90−40 =
**50° F**

### Quick, but **Not Accurate**

Fahrenheit to Celsius: Subtract 30, then halve

Examples °C → °F:

**0° C**→ 0+30 →**30° F**(low by 2°)**10° C**→ 20+30 →**50° F**(exact!)**30° C**→ 60+30 →**90° F**(high by 4°)**180° C**→ 360+30 →**390° F**(high by 34°, not good)

Examples °F → °C:

**40° F**→ 10/2 →**5° C**(almost right)**80° F**→ 50/2 →**25° C**(low by about 2°)**120° F**→ 90/2 →**45° C**(low by about 4°)**450° F**→ 420/2 →**210° C**(low by about 22°, not good)

## Temperature Conversion Formulas

To Convert To… | Multiply… | By… | |
---|---|---|---|

Atmospheres | (atm) | Bar — Inches Mercury (in Hg) Pounds/square inch (psi) Torr — | 0.9869 0.03342 0.06805 0.001316 |

Bar | Atmospheres (atm) Pounds/square inch (psi) | 1.0133 0.06895 | |

British Thermal Units | (Btu) | Joules (J) Kilowatt-hours (KWh) Watt-hours (Wh) | 0.000948 3412 3.412 |

British Thermal Units/hour | (Btu/h) | Kilocalories/hour (kcal/h) Watts (W) | 3.969 3.412 |

British Thermal Units/inches hour-square foot—°F British Thermal Units/pound British Thermal Units/pound—°F | (Btu—in) (h-ft2—°F) (Btu/lb) (Btu/lb—°F) | Watts/meter—°C (W/m—°C) Kilojoules/kilogram (kJ/kg) Kilojoules/kilogram—°C (kJ/kg—°C) | 6.933 0.4299 |

Calories | (cal) | Joules (J) | 0.2388 |

Centimeters | (cm) | Feet (ft) Inches (in) | 30.48 2.54 |

Centimeters/second | (cm/s) | Feet/minute (fpm) | 0.508 |

Cubic centimeters | (cm3or cc) | Cubic feet (ft3) Cubic inches (in3) Milli Liters (ml) | 28,320 16.39 1.0 |

Cubic feet | (ft3) | Cubic meters (m3) Gallons, U.S. (gal) Liters (l) | 35.32 0.1337 .03532 |

Cubic feet/minute | (cfm) | Cubic meters/hour (m3/h) Cubic meters/second (m3/s) Liters/second (l/s) | 0.5885 2119 2.119 |

Cubic inches | (in3) | Cubic centimeters (cm3or cc) | 0.061 |

Cubic meters | (m3) | Gallons, U.S. (gal) Liters (l) Cubic feet (ft3) | 0.003785 0.001 0.02832 |

Cubic meters/hour | (m3/h) | Cubic feet/minute (cfm) Gallons/minute (gpm) | 1.699 0.2271 |

Cubic meters/second | (m3/s) | Cubic feet/minute (cfm) | 0.000472 |

Feet | (ft) | Centimeters (cm) Meters (m) | 0.03281 3.281 |

Feet/minute | (fpm) | Centimeters/second (cm/s) Meters/second (m/s) | 1.969 196.9 |

Gallons, Imperial | — | Gallons, U.S. (gal) | 0.8327 |

Gallons, U.S. | (gal) | Cubic feet (ft3) Cubic meters (m3) Gallons, Imperial — Liters (l) | 7.481 264.2 1.201 0.2642 |

Gallons/minute | (gpm) | Cubic meters/hour Liters/second (m3/h) (l/s) | 4.403 15.85 |

Grams | (g) | Ounces (oz) Pounds (lb) | 28.35 453.6 |

Grams/cubic centimeter | (g/cm3) | Kilograms/cubic meter (kg/m3) Pounds/cubic foot (lb/ft3) Pounds/cubic inch (lb/in3) | 0.001 0.01602 27.68 |

Inches | (in) | Centimeters (cm) Millimeters (mm) | 0.3937 0.03937 |

Inches Mercury | (in Hg) | Atmospheres (atm) Torr – | 29.92 25.4 |

Joules | (J) | British Thermal Units (Btu) Calories (cal) Watt-hours (Wh) | 1055 4.187 3600 |

Joules/second | (J/s) | British Thermal Units/hour (Btu/h) Watts (W) | 0.2931 1 |

Kilocalories/hour | (kcal/h) | Btu/hour (Btu/h) | 0.252 |

Kilograms Kilograms/cubic meter Kilograms/cubic meter Kilograms/square centimeter | (kg) (kg/m3) (kg/m3) (kg/cm2) | Pounds (lb) Grams/cubic centimeter (g/cm3) Pounds/cubic foot (lb/ft3) Pounds/square inch (psi) | 0.4536 1000 16.02 0.07031 |

Kilojoules Kilojoules/kilogram Kilojoules/kilogram—ºC | (kJ) (kJ/kg) (kJ/kg—ºC) | Watt-hours (Wh) British Thermal Units/pound(Btu/lb) British Thermal Units/pound—ºF (Btu/lb—ºF) | 3.6 2.326 4.187 |

Kilometers/hour | (km/h) | Miles/hour (mph) | 1.609 |

Kilopascals | (kPa) | Pounds/square inch (psi) | 6.895 |

Kilowatts | (KW) | British Thermal Units/hour (Btu/h) Watts (W) | 0.0002931 0.001 |

Kilowatt-hours | (KWh) | British Thermal Units Btu) Watt-hours (Wh) | 0.0002931 0.001 |

Liters | (l) | Cubic Feet (ft3) Cubic Meters (m3) Gallons, U.S. (gal) | 28.32 1000 3.785 |

Liters/second | (l/s) | Cubic feet/minute (cfm) Gallons/minute (gpm) | 0.4719 0.06309 |

Meters Meters/second | (m) (m/s) | Feet (ft) Feet/minute (fpm) | 0.3048 0.00508 |

Miles/hour | (mph) | Kilometers/hour (km/h) | 0.6215 |

Millimeters | (mm) | Inches (in) | 25.4 |

Newtons/square meter | (N/m2) | Pounds/square inch (psi) | 6,895 |

Ounces | (oz) | Grams (g) | 0.035274 |

Pounds | (lb) | Grams (g) Kilograms (kg) | 0.002205 2.205 |

Pounds/cubic foot | (lb/ft3) | Grams/cubic centimeter (g/cm3) Kilograms/cubic meter (kg/m3) | 62.43 0.06243 |

Pounds/cubic inch | (lb/in3) | Grams/cubic centimeter (g/cm3) | 0.03613 |

Pounds/square inch | (psi) | Bar – Kilograms/square centimeter (kg/cm2) Kilopascals (kPa) Newtons/square meter (N/m2) | 14.504 14.22 0.145 0.000145 |

Square centimeters | (cm2) | Square feet (ft2) Square inches (in2) | 929 6.452 |

Square feet | (ft2) | Square centimeters (cm2) Square meters (m2) | 0.001076 10.76 |

Square inches | (in2) | Square centimeters (cm2) | 0.155 |

Square meters | (m2) | Square feet (ft2) | 0.0929 |

Torr | Inches Mercury (in. Hg) Pounds/square inch (psi) | 0.03937 51.71 | |

Watts | (W) | British Thermal Units/hour (Btu/h) Joules/second (J/s) | 0.2931 1 |

Watt-hours | (Wh) | British Thermal Units (Btu) Joules (J) Kilojoules (kJ) | 0.2931 0.0002778 0.2778 |

Watts/meter—ºC Watts/square centimeter | (W/m—ºC) (W/cm2) | Watts/square inch (W/in2) Watts/square centimeter (W/cm2) | 0.1442 0.155 |

Temperature Scale | Convert to by… |
---|---|

Fahrenheit | °F = 1.8°C + 32° |

Celsius | °C =5/_{9}(°F-32°) |

Rankine | °R = 1.8K + 0.6° °R = °F + 460° |

Kelvin | K =5/_{9}(°R-0.6°)K = °C + 273° |

### Solved Example Question

Question 1: What is 30°C in Kelvin?

Solution:

The formula used to convert temperature from Celsius to Kelvin is, K = C + 273.15

K = 30 + 273.15 K = 303.15

Question 2: Convert 50°C to °F.

Solution:

Celsius to Fahrenheit conversion formula is given by:

°F = °C(9 / 5) + 32

= 50 (9 / 5) + 32

= 90 + 32

= 122

Therefore, 50°C = 122°F

Question 3: Convert 113°F to Kelvin.

Solution:

Fahrenheit to Kelvin conversion formula is given by:

K = (F − 32) × 5 / 9 + 273.15

= (113 – 32) × (5 / 9) + 273.15

= 81 × (5 / 9) + 273.15

= 45 + 273.15

= 318.15

Therefore, 113°F = 318.15 K

Question 4: Convert 225 K to Celsius.

Solution:

Kelvin to Celsius conversion formula is given by:

C = K – 273.15

= 225 – 273.15

= -48.15

Therefore, 225 K = -48.15°C

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