Convert the following temperatures to degrees Celsius or Fahrenheit: (a) , the temperature on a hot summer day; (b) , the temperature on a cold winter day;

Problem 23 Medium Difficulty

Convert the following temperatures to degrees Celsius or Fahrenheit: (a) 95F95∘F, the temperature on a hot summer day; (b) 12F12∘F, the temperature on a cold winter day; (c) a 102F102∘F fever; (d) a furnace operating at 1852F;1852∘F; (e) 273.15C−273.15∘C (theoretically the lowest attainable temperature).

Expert's Answer

Hi. So this question is asking you to convert the following temperatures two degrees Celsius or degrees Fahrenheit so they give it to you and degrees Fahrenheit. You're gonna convert to Celsius and that you give it to you in Celsius. You could occurred it to decrease Fahrenheit. So first that's right. Are, um, temperature equations, our conversion equations. So you're gonna what the 1st 1 is Degrees Celsius equals of 5/9 degrees Fahrenheit minus 32. And now our other equation, which is just this basically reorganized is degrees Fahrenheit equals 5 9/5 degree Celsius plus plus 32. So here are three equations and basically this equation this questions pretty easy is just plug and chug, but they give you fair. Now, you plug it into the first equation to give you Celsius, you plug it into the second equation. So is look at the first question here. They give you 95 F, so since they give you fair and if you want to convert it to Celsius, we're gonna use the first equation. So degrees Celsius equals 9/5 times 95 because that's the temperature to give you 95 minus 32. And the answer you should get here is 35 degrees Celsius. Now we go toe, um, part B, which is 12 F pretty cold. But we're going to use the same equation because they're giving you fair, and I, and you want to cover it to Celsius. So degrees Celsius equals 9/5 12 minus 32. As you can see this time, we're going to get a negative number because 12 is less than 32 you take 32 away from 12 will be negative. So we get negative 11.1 degrees Celsius here and now for our next question, the number is 102 F. So again the same equation, because you want to find degrees Celsius from Fahrenheit and it would be a positive number because one or two is greater than 32. And you'll should get 38.8 degrees Celsius if you just plug it into your calculator. Now let's go toe Part D party. We have a very large number. We have 18 50 to 1152 degrees Fahrenheit, but again will be using the same equation because we want to find degrees Celsius. So 18. 52 could be it's Plug that in there to your calculator again and you get 1000 a little one thousands. Are you, uh, 1000 11.1 degrees Celsius now for the last one. Now they give you negative to 73.15 degrees Celsius. Now, this is actually absolute zero, which if you were doing on the Kelvin scale, it would be zero. Because this is the supposed coldest temperature you can possibly get to. There is no movement of particles or anything. It's just complete stillness. Um, but as you can see, to give it to us in a Celsius measurement must Celsius units. So we're gonna have to use a second equation because we need to convert it to Fahrenheit. Right? So we're gonna do decrease Fahrenheit. He calls 9/5 times and negative to 73 point 15 plus 32. You should get negative for 59.67 degrees Fahrenheit. So yeah, this is pretty straightforward. Just a lot of plugging in and chugging, So just make sure you remember the equations, because this is a pretty important equation because the U. S does use Fahrenheit, but generally in the world they use a lot of our internationally. They use a lot of degrees Celsius, so it's useful to just know this equation. Uh oh, this is helpful and allowed you to, um, you know, have some more knowledge for the for your chemistry journey. Thanks.

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