Temperature Conversions - Fahrenheit to Celsius to Kelvin
Summary
TLDRThis 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
🌡️ 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.
🌡️ 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.
🌡️ 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.
Mindmap
Keywords
💡Temperature Conversions
💡Fahrenheit
💡Celsius
💡Kelvin
💡Formula
💡Boiling Point
💡Calculator
💡Subtraction
💡Division
💡Rounding
💡Challenge Problem
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
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