Temperature Conversions - Fahrenheit to Celsius to Kelvin

Summary

This educational video script offers a clear guide on temperature conversions between Fahrenheit, Celsius, and Kelvin. It explains the formulas for converting Celsius to Fahrenheit (F = 1.8C + 32) and vice versa (C = (F - 32) / 1.8), as well as the direct addition and subtraction methods for converting between Celsius and Kelvin. The script also tackles challenge problems, such as converting 300°F to Kelvin and -40°F to Kelvin, providing step-by-step solutions to engage viewers in temperature unit conversions.

Takeaways

• 🔍 The script explains how to convert temperatures between Fahrenheit, Celsius, and Kelvin scales.
• ♨️ To convert Celsius to Fahrenheit, use the formula: F = 1.8 * C + 32.
• 🌡 Example given: 100°C is equivalent to 212°F, which is the boiling point of water.
• 📐 Another example: 40°C converts to 104°F using the Celsius to Fahrenheit formula.
• 🔄 To convert Fahrenheit to Celsius, use the formula: C = (F - 32) / 1.8.
• 🌡 Example provided: 98°F converts to approximately 36.7°C.
• 🏜 For extreme temperatures, like 130°F, the conversion results in 54.4°C.
• 🔅 Conversion from Celsius to Kelvin is straightforward: add 273 to the Celsius temperature.
• 🌡 The script mentions 25°C equals 298K, a common conversion in scientific fields.
• ❄️ To convert Kelvin to Celsius, subtract 273 from the Kelvin temperature.
• 🌡 An example of converting 500K to Celsius results in 220°C.
• 🤔 Challenge problem: converting 300°F to Kelvin involves first converting to Celsius, then to Kelvin, resulting in approximately 422.05K.
• ❄️ Negative temperatures, like -40°F, are the same in both Fahrenheit and Celsius scales when converted to Kelvin, which would be 233K.
• 🔙 Conversion from Kelvin to Fahrenheit requires first converting to Celsius, then applying the Celsius to Fahrenheit formula, as demonstrated with 400K equating to 260°F.

Q & A

What is the formula to convert Celsius to Fahrenheit?

The formula to convert Celsius to Fahrenheit is F = 1.8 * C + 32, where F is the Fahrenheit temperature and C is the Celsius temperature.

What is the boiling point of water in Fahrenheit?

The boiling point of water is 212 degrees Fahrenheit.

How can you convert 40 degrees Celsius to Fahrenheit?

Using the formula F = 1.8 * C + 32, 40 degrees Celsius is equal to 104 degrees Fahrenheit.

What is the formula to convert Fahrenheit to Celsius?

The formula to convert Fahrenheit to Celsius is C = (F - 32) / 1.8, where F is the Fahrenheit temperature and C is the Celsius temperature.

What is the temperature in Celsius that corresponds to 98 degrees Fahrenheit?

98 degrees Fahrenheit is approximately 36.7 degrees Celsius.

What is the Kelvin scale and how is it related to Celsius?

The Kelvin scale is an absolute temperature scale where 0 K is absolute zero. It is related to Celsius by the formula K = C + 273.15, where K is the Kelvin temperature and C is the Celsius temperature.

How do you convert 25 degrees Celsius to Kelvin?

25 degrees Celsius is equal to 298 Kelvin, calculated by adding 273 to the Celsius temperature.

What is the formula to convert Kelvin to Celsius?

The formula to convert Kelvin to Celsius is C = K - 273, where K is the Kelvin temperature and C is the Celsius temperature.

How can you convert 500 Kelvin to Celsius?

500 Kelvin is equal to 220 degrees Celsius, obtained by subtracting 273 from the Kelvin temperature.

What is the process to convert 300 degrees Fahrenheit to Kelvin?

To convert 300 degrees Fahrenheit to Kelvin, first convert it to Celsius using the formula C = (F - 32) / 1.8, then convert the Celsius result to Kelvin using K = C + 273.15.

How do you convert a negative temperature like -40 degrees Fahrenheit to Kelvin?

To convert -40 degrees Fahrenheit to Kelvin, first convert it to Celsius using the formula C = (F - 32) / 1.8, which in this case gives -40 degrees Celsius, then convert the Celsius result to Kelvin using K = C + 273.

What is the temperature in Fahrenheit that corresponds to 400 Kelvin?

400 Kelvin is equal to 260 degrees Fahrenheit, after converting it first to Celsius using the formula C = K - 273, and then using the formula F = 1.8 * C + 32.

Outlines

00:00

🌡️ Introduction to Temperature Conversion

This paragraph introduces the concept of temperature conversion between Fahrenheit, Celsius, and Kelvin. It begins by explaining how to convert a temperature from Celsius to Fahrenheit using a specific formula. An example is provided with a step-by-step calculation, demonstrating how 100°C equals 212°F, the boiling point of water. The paragraph also includes another example converting 40°C to 104°F, showing the process using the same formula.

05:02

🌡️ Converting Between Celsius, Fahrenheit, and Kelvin

The focus shifts to converting Fahrenheit to Celsius, beginning with the example of 98°F, which is converted to 36.7°C using a different formula. Another example is provided, converting 130°F to 54.4°C. The paragraph then introduces Kelvin, a temperature unit often used in science, and explains how to convert between Celsius and Kelvin by adding or subtracting 273. The conversion of 25°C to 298K and 500K to 227°C is demonstrated.

10:03

🌡️ Advanced Temperature Conversions and Challenge Problems

This paragraph presents more complex conversions, including a challenge problem that converts 300°F to Kelvin by first converting to Celsius and then to Kelvin. It also includes an example of converting a negative Fahrenheit temperature (-40°F) to Kelvin, showing that -40°F equals -40°C. The paragraph concludes with a conversion from Kelvin to Fahrenheit, emphasizing the step-by-step process and the use of mental math and calculators to arrive at the correct values.

Keywords

💡Temperature Conversions

Temperature conversions refer to the process of changing a temperature value from one scale to another. In the video's context, this involves converting between Fahrenheit, Celsius, and Kelvin. The video explains the formulas and methods for these conversions, which is central to the educational theme of the video.

💡Fahrenheit

Fahrenheit is a temperature scale where the freezing point of water is at 32 degrees and the boiling point is at 212 degrees. The script uses this scale in conversion examples, such as converting 100 degrees Celsius to 212 degrees Fahrenheit, which is the boiling point of water in this scale.

💡Celsius

Celsius is a metric temperature scale with 0 degrees representing the freezing point of water and 100 degrees the boiling point. The video script explains how to convert temperatures from Celsius to Fahrenheit and vice versa, using it as a base for further conversions to Kelvin.

💡Kelvin

Kelvin is the primary unit of temperature in the physical sciences and is one of the seven base units in the International System of Units (SI). The script introduces Kelvin as an additional temperature scale and explains its conversion to and from Celsius, emphasizing its importance in scientific contexts.

💡Formula

In the context of the video, a formula is a mathematical equation used to convert temperatures between different scales. The script provides specific formulas for converting Celsius to Fahrenheit, Fahrenheit to Celsius, Celsius to Kelvin, and Kelvin to Celsius, which are essential tools for understanding temperature conversions.

💡Boiling Point

The boiling point is the temperature at which a liquid turns into vapor. The script mentions the boiling point of water as 100 degrees Celsius and 212 degrees Fahrenheit, highlighting the difference in temperature representation across scales.

💡Calculator

A calculator is a device or software used to perform mathematical operations. The script suggests using a calculator to perform the arithmetic involved in temperature conversions, such as multiplying 1.8 by the Celsius temperature and then adding 32 to convert to Fahrenheit.

💡Subtraction

Subtraction is a basic arithmetic operation used in the conversion formulas presented in the script. For example, to convert Fahrenheit to Celsius, one must subtract 32 from the Fahrenheit temperature, as illustrated in the script when converting 98 degrees Fahrenheit to Celsius.

💡Division

Division is another arithmetic operation necessary for temperature conversions. The script demonstrates division in the process of converting Fahrenheit to Celsius, where the result of the subtraction is divided by 1.8 to get the Celsius temperature.

💡Rounding

Rounding is the process of adjusting a number to the nearest whole or decimal place. The script mentions rounding the result of a division to a more manageable figure, such as rounding 36.666... to 36.7 degrees Celsius.

💡Challenge Problem

A challenge problem in the script is a more complex example used to test understanding of the concepts taught. The script presents a problem of converting 300 degrees Fahrenheit to Kelvin, which requires converting to Celsius first, then to Kelvin, demonstrating the application of learned formulas in a step-by-step process.

Highlights

The video discusses temperature conversions between Fahrenheit, Celsius, and Kelvin.

Conversion formula from Celsius to Fahrenheit is F = 1.8 * C + 32.

100 degrees Celsius is equivalent to 212 degrees Fahrenheit, which is the boiling point of water.

Example given to convert 40 degrees Celsius to Fahrenheit, resulting in 104 degrees Fahrenheit.

Conversion from Fahrenheit to Celsius is C = (F - 32) / 1.8.

98 degrees Fahrenheit converts to approximately 36.7 degrees Celsius.

130 degrees Fahrenheit is equivalent to 54.4 degrees Celsius.

Kelvin is another temperature unit commonly used in chemistry and physics.

Conversion from Celsius to Kelvin is K = C + 273.

25 degrees Celsius is equal to 298 Kelvin.

Conversion from Kelvin to Celsius is C = K - 273.

500 Kelvin converts to 220 degrees Celsius.

To convert Fahrenheit to Kelvin, first convert to Celsius and then to Kelvin.

300 degrees Fahrenheit is approximately 148.9 degrees Celsius and 422.05 Kelvin.

Negative 40 degrees Fahrenheit is the same as negative 40 degrees Celsius, which is 233 Kelvin.

Conversion from Kelvin to Fahrenheit involves converting to Celsius first and then applying the Fahrenheit formula.

400 Kelvin is equivalent to 127 degrees Celsius and 260 degrees Fahrenheit.

Transcripts

in this video we're going to talk about

temperature conversions

how to convert from units such as

fahrenheit to celsius and to kelvin and

vice versa

so let's start with the basics

let's say we have a temperature of 100

degrees celsius

how can we convert

that temperature into fahrenheit

if you want to convert celsius to

fahrenheit here's the formula that you

could use

the fahrenheit temperature

let's just call that f

so the fahrenheit temperature is 1.8

times the celsius temperature plus 32.

so all you need to do is plug in the

celsius temperature into the equation

and you'll get the answer

so it's going to be 1.8

times 100

plus 32

1.8 times 100

is 180

and 180 plus 32

18 plus 3 is 21

0 plus 2 is 2.

so 180 plus 32 is

212.

so 100 degrees celsius is equal to a

temperature of 212 degrees

on the fahrenheit scale

this is the boiling point of water the

water boils at 100 degrees celsius but

in fahrenheit it's 212.

so let's try another example

of converting a temperature in celsius

to fahrenheit so let's say that we want

to convert 40 degrees celsius

to fahrenheit

go ahead and try it

so we're going to use the same

formula

f is equal to 1.8 c plus 32.

so we're going to replace c with 40.

so 1.8 times 40. let's use the

calculator for that

so that's going to be 72.

for some reason i put 3.2 instead of 32.

so let's make that correction

72 plus 32 is 104.

so a temperature of 104 degrees

fahrenheit is equal to a celsius

temperature of 40 degrees

so now you know how to convert

celsius to fahrenheit but let's talk

about how we can convert fahrenheit to

celsius

so let's say we have a temperature of 98

degrees fahrenheit

how can we convert that into a celsius

temperature

so the formula that we're going to use

is going to be as follows

the celsius temperature is equal to the

fahrenheit temperature minus 32 divided

by 1.8

so in this case it's going to be 98

minus 32 divided by 1.8

98 minus 32

we're going to subtract first that's

equal to 66

next we're going to divide 66 by 1.8

and that'll give us a temperature of

36.6 repeating

which you can round that to

36.7

so the celsius temperature is 36.7

degrees

here's another example let's say we have

a temperature

of

130 degrees fahrenheit so that's the

temperature in a desert on a hot day

what is that in celsius

feel free to take a minute and try that

example

so using the same formula it's the

fahrenheit temperature -32 divided by

1.8

so let's replace f

with 130

next let's subtract 130 by 32

so that'll give us 98 and then let's

divide 98

by 1.8

so the celsius temperature is 54.4

repeating

so 130 degrees fahrenheit is equal to

54.4 on the celsius scale

now let's talk about another unit of

temperature that is the kelvin unit if

you're taking chemistry or physics

typically

you'll be seeing this unit you'll be

using this unit a lot actually

let's say we want to convert 25 degrees

celsius into kelvin this is a common

temperature conversion how can we do

that

the kelvin temperature is equal to the

celsius temperature plus 273.15

now typically we tend to ignore the

point 15 so we're going to use 273.

so all we need to do is replace c with

25

so it's 25 plus 273

so it's 298 kelvin

thus 25 degrees on a celsius scale

is equal to 298 on the kelvin

scale so that's how you can convert from

celsius to kelvin all you need to do is

just

add 273 to the celsius temperature

now let's say we have a temperature of

500 kelvin

and we wish to convert that to

the temperature in celsius

what do we need to do

well since the kelvin temperature is

equal to the celsius plus

273 the celsius temperature is the

kelvin temperature minus 273

so it's going to be 500 kelvin

minus 273

and so that's 220

degrees celsius

so that's how you can convert kelvin

into celsius simply subtract the kelvin

temperature by 273 to get the celsius

temperature

now let's

talk about a challenge problem

let's say we have the temperature in

fahrenheit

it's 300 degrees fahrenheit how can we

convert it to kelvin

feel free to pause the video and try

this example problem

in order to do this

it's best to convert from fahrenheit

to celsius and then from celsius to

kelvin

so we know the celsius temperature is

the fahrenheit temperature minus 32

divided by 1.8

so that's going to be 300

minus 32 over 1.8

300 minus 32 is 268 and 268 divided by

1.8

is

148.8 repeating

so let's round that to 0.9

thus 300 degrees fahrenheit is 148.9

degrees celsius

now that we have the celsius temperature

we can get the kelvin temperature

so that's going to be the celsius plus

273.

so it's 148.9 plus 273

and if you want to you could use the

273.15

since we have a decimal value here

and the answer is going to be

422.05 kelvin

so you may need to use discretion on

when to add the point 15.

if your celsius temperature is rounded

to the nearest tenth then it may be wise

to do that if it's rounded to nearest

whole number then you could just add 273

to it

for the sake of practice let's try

another example

so let's try a temperature value that's

negative

go ahead and convert negative 40 degrees

fahrenheit

to

kelvin

take a minute and work on that example

so the celsius temperature we're going

to follow the same process let's convert

fahrenheit to celsius first

the celsius temperature is going to be

the fahrenheit temperature minus 32 over

1.8

so f is negative 40

and negative 40 minus 32 that's negative

72

negative 72 divided by 1.8 is negative

40.

so this is the one temperature in which

the fahrenheit temperature is the same

as the celsius temperature i've actually

seen that in

test problems

so just keep that in mind

now that we have the celsius temperature

we can get the kelvin temperature using

this formula

so since this is rounded to the nearest

whole number we're going to use 273

instead of 273.15

so it's negative 40

plus 273 which is the same as 273 minus

40.

and thus the kelvin temperature is 233

degrees

so

that's how you can convert from

fahrenheit to kelvin

this by converting fahrenheit to celsius

first and then from celsius you can

convert that to kelvin now let's try a

similar problem

backwards instead of going from

fahrenheit to kelvin

let's convert from kelvin to fahrenheit

so if we have a temperature of 400

kelvin what is that in fahrenheit go

ahead and pause the video and try this

example

what we're going to do is go from kelvin

to celsius and then celsius to

fahrenheit

so the celsius temperature is the kelvin

temperature minus 273

so we have 400

minus 273

400 minus 200 is

200

and then 200 minus 73. let's do mental

math this is 200 minus 70 minus 3.

200 minus 70 is 130 and 130 minus 3 is

127.

so that is the temperature in

celsius

so 400 kelvin is equal to 127 degrees

celsius

now from celsius

let's go to fahrenheit

the fahrenheit temperature is 1.8 times

the celsius temperature plus 32.

so that's going to be 1.8

times 127

plus 32. so i'm going to use the

calculator for that

1.8 times 127. that is

i type that in wrong

1.8 times 127 is 228.6

and then if we add 32 to that

it's going to give us a fahrenheit

temperature of 260

degrees

so that's how we can convert from kelvin

to fahrenheit you want to convert from

kelvin to celsius first and then from

celsius to fahrenheit