(a) A child has a fever of 101^∘ F. What is the temperature in ^∘ C ? (b) In a desert, the temp

(a) A child has a fever of 101^∘ F. What is the temperature...

(a) A child has a fever of $101^{\circ} \mathrm{F}$. What is the temperature in ${ }^{\circ} \mathrm{C} ?$ (b) In a desert, the temperature can be as high as $45^{\circ} \mathrm{C},$ what is the temperature in ${ }^{\circ} \mathrm{F} ?$ (c) During winter, the temperature of the Arctic region can drop below $-50^{\circ} \mathrm{C}$, what is the temperature in degree Fahrenheit and in Kelvin? (d) The sublimation temperature of dry ice is $-78.5^{\circ} \mathrm{C}$. Convert this temperature to degree Fahrenheit and Kelvin. (e) Ethanol boils at $351 \mathrm{~K}$. Convert this temperature to degree Fahrenheit and degree Celsius.

(a) A child has a fever of $101^{\circ} \mathrm{F}$. What is the temperature in ${ }^{\circ} \mathrm{C} ?$
(b) In a desert, the temperature can be as high as $45^{\circ} \mathrm{C},$ what is the temperature in ${ }^{\circ} \mathrm{F} ?$ (c) During winter, the temperature of the Arctic region can drop below $-50^{\circ} \mathrm{C}$, what is the temperature in degree Fahrenheit and in Kelvin? (d) The sublimation temperature of dry ice is $-78.5^{\circ} \mathrm{C}$. Convert this temperature to degree Fahrenheit and Kelvin. (e) Ethanol boils at $351 \mathrm{~K}$. Convert this temperature to degree Fahrenheit and degree Celsius.

Key Concepts

Temperature Conversion

This concept involves converting temperatures from one scale to another using specific mathematical formulas. These conversions typically utilize linear equations or offsets and scaling factors that relate temperature units like Celsius, Fahrenheit, and Kelvin, allowing comparisons and computations across different measurement systems.

Fahrenheit Temperature Scale

The Fahrenheit scale is a temperature measurement system used primarily in the United States. It sets the freezing point of water at 32°F and the boiling point at 212°F under standard conditions. Converting to and from other scales involves formulas that account for both a scaling factor and an offset.

Celsius Temperature Scale

The Celsius scale is a metric temperature scale widely used around the world, where water freezes at 0°C and boils at 100°C under standard atmospheric conditions. It is directly related to the Kelvin scale and serves as a practical scale for most everyday temperature measurements.

Kelvin Temperature Scale

The Kelvin scale is the SI base unit for temperature and is used primarily in scientific contexts. It starts at absolute zero, the lowest possible temperature, making it an absolute scale. The Kelvin and Celsius scales are offset by 273.15, which is essential for converting temperatures between these units.

Transcript

00:01 Have temperature conversions and we have a couple examples that we want to work on and converting between fahrenheit and celsius and kelvin in order for us to do these temperature conversions we do need to know the formulas that we have here so we have formulas that allows us to convert between kelvin and fahrenheit and fahrenheit to kelvin fahrenheit celsius to fahrenheit and convert between celsius and kelvin both from celsius to kelvin and kelvin to celsius.

00:28 And so we're going to use these formulas in order to convert some of our problems here.

00:32 And the first one we have is 101 degrees fahrenheit.

00:35 You want to convert what is 101 degrees fahrenheit in celsius.

00:40 And so if we want to go ahead and use this particular formula here, which is going to be this third one right here, fahrenheit to celsius, we're going to go ahead and subtract 32 from 101, which gives us 69.

00:54 And then 69, we're going to multiply 69 times 5 over 9, and that is going to get us 38 .333, so it's a repeating decimal.

01:04 So if we want to round to the number of significant digits, that means that we were going to end up with 38.

01:12 Let's actually go ahead and write this in a text form.

01:15 We will go ahead.

01:17 It's going to be 38 .3 degrees celsius for that one.

01:25 And then for our next problem, we want to convert 45 degrees celsius into fahrenheit.

01:30 So instead of using the other formula, we're going to be using this one, the one below it, celsius to fahrenheit.

01:39 So we are going to take our 45 degrees celsius, and we're going to multiply it by 9 over 5.

01:46 And that's going to give us 81, and we're just going to add 32 to it, and that's going to give us 113 degrees fahrenheit.

01:58 This goes right here.

02:00 And next up we do have something different.

02:03 We have negative 50 degrees celsius.

02:07 And we want to convert it to both fahrenheit and kelvin.

02:10 So if we want to go ahead and start the one with fahrenheit first, we're going to from celsius to fahrenheit.

02:15 We're going to be using the same one we used in the previous one.

02:18 So we're going to take our negative degrees 50, negative 50 degrees celsius, and multiply that by 9 over 5.

02:26 That is going to give us negative 90.

02:28 And if we want to add 32, that will give us negative 58.

02:33 So negative 50 degrees celsius gives us negative 58 degrees fahrenheit...

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