Make the following conversions: (a) 83^∘ F to ^∘ C (b) 29^∘ C to ^∘ F (c) 294^∘ C to K (d) 832

Make the following conversions: (a) 83^∘ F to ^∘ C (b) 29^∘...

Key Concepts

Temperature Scales

This concept involves the understanding of different temperature scales such as Fahrenheit, Celsius, and Kelvin. Each scale has its own reference points and is used in different contexts: Fahrenheit is commonly used in certain countries for everyday measurements, Celsius is widely used in most parts of the world and scientific contexts, and Kelvin is employed in scientific research as it is an absolute scale starting from absolute zero.

Linear Temperature Conversion

Temperature conversion between Fahrenheit, Celsius, and Kelvin is based on linear relationships. This means that converting from one scale to another involves multiplying by a factor and then adding or subtracting a fixed constant. For example, converting Celsius to Fahrenheit includes both a scaling factor and an offset, illustrating the principle of linear transformation.

Absolute Temperature Scale versus Relative Temperature Scales

Kelvin is considered an absolute temperature scale because it is anchored at absolute zero, the point where molecular kinetic energy is minimized. In contrast, Celsius and Fahrenheit are relative scales that are based on the freezing and boiling points of water. Understanding these differences is crucial, as the conversion formulas adjust not only for scale differences but also for the offsets in where the scales begin.

Transcript

00:01 We have temperature conversions and we kind of have a variety of formulas here that we must kind of come familiar with if we want to go ahead and calculate temperature conversions, whether we're working with fahrenheit, celsius, kelvin.

00:14 And in fact, a lot of our general chemistry or introductory chemistry course is where we have to do a lot of math and temperature conversions in order to use perhaps like another formula.

00:24 And we're given a certain temperature, maybe we have to convert our celsius to kelvin in order for.

00:30 For that particular in order to use a certain formula.

00:33 And so these come in very handy.

00:35 And here are about, there's about six unit conversions or temperature conversions that we must know, ranging from kelvin to fahrenheit, fahrenheit to kelvin, fahrenheit celsius, celsius to fahrenheit, and then back and forth between kelvin and celsius.

00:49 And the last two over here, the celsius, converting between celsius and kelvin, that's actually one of the easier ones.

00:55 Either subtract or you add 273 .15.

01:00 To whatever you have via celsius or kelvin.

01:03 So here we have a couple examples here.

01:06 We have about six examples, and we're just going to be practicing, kind of just using our temperature conversion formulas here that need to get familiar with in order to convert to a specific type of temperature based on the examples here.

01:22 So here on the first one, we have 83 fahrenheit to celsius.

01:26 And so what the formula is, that we're going to be using is actually going to be ferenheit celsius, we're going to be using this one for our very first problem.

01:36 And so if we want to just go ahead and take a look at our formula here, we have fahrenheit.

01:42 The f here is going to stand for the temperature and fahrenheit that you are starting with.

01:47 So in this case, it's going to be 83 minus 32.

01:51 And 83 minus 32 is going to be 51.

01:54 And then 51 times 5 over 9.

01:58 We plug that in our calculator is going to give us 28 .3.

02:03 Now, 28 .3, we do have to also take in consideration significant figures.

02:08 There are two significant digits in the temperature that we are starting with.

02:12 So if we have 28 .3, we're going to have to round that off to 28 degrees celsius.

02:19 So this is going to be 28c once we convert it to celsius instead of fahrenheit.

02:27 Now let's go ahead and erase this.

02:29 For the next problem or for the next example, we're going to convert from celsius to fahrenheit.

02:35 So we're going to be using instead of that formula, we're going to be using the other one, which is this one, celsius to fahrenheit.

02:42 And it looks a little bit different.

02:44 Now, instead of starting out and subtracting 32, what we're going to be doing is actually taking our 29 celsius and multiplying it by our 9 over 5.

02:56 So when we do that, we get 52 .2, and then 52 .2 plus 32 .32, it's going to give us 84 .2 degrees fahrenheit...

Please give Ace some feedback