Convert the following Kelvin temperatures to Celsius and...

Convert the following Kelvin temperatures to Celsius and Fahrenheit degrees. a. the temperature that registers the same value on both the Fahrenheit and Celsius scales, $233 \mathrm{~K}$ b. the boiling point of helium, $4 \mathrm{~K}$ c. the temperature at which many chemical quantities are determined, $298 \mathrm{~K}$ d. the melting point of tungsten, $3680 \mathrm{~K}$

Convert the following Kelvin temperatures to Celsius and Fahrenheit degrees.
a. the temperature that registers the same value on both the Fahrenheit and Celsius scales, $233 \mathrm{~K}$
b. the boiling point of helium, $4 \mathrm{~K}$
c. the temperature at which many chemical quantities are determined, $298 \mathrm{~K}$
d. the melting point of tungsten, $3680 \mathrm{~K}$

Key Concepts

Conversion Formulas

Conversion formulas are the mathematical relationships that allow one to convert a temperature value from one scale to another. For example, converting Kelvin to Celsius involves subtracting 273.15 from the Kelvin value. To convert Celsius to Fahrenheit, the formula is to multiply the Celsius value by 9/5 and then add 32. These formulas are essential for ensuring accurate transitions across temperature scales.

Unit Conversion in Scientific Context

Unit conversion in a scientific context is a fundamental skill that ensures consistency and comparability in measurements. It allows scientists and engineers to work with standardized values regardless of the original measurement system. This process is particularly important in disciplines such as chemistry and physics, where precise temperature values can impact experimental results and theoretical predictions.

Temperature Scales

This concept deals with different systems used to measure temperature, such as Kelvin, Celsius, and Fahrenheit. Understanding these systems is crucial because each scale has a different zero point and increment value. The Kelvin scale is based on absolute zero and is commonly used in scientific contexts, while Celsius and Fahrenheit scales are more common in everyday and regional applications.

Transcript

00:01 So this problem is trying to help you be comfortable converting between kelvin, celsius, and fahrenheit.

00:08 And it's difficult to go from kelvin straight to fahrenheit without going through celsius first.

00:12 So they pretty much this problem is just going to give us four examples.

00:15 We're going to have to go from kelvin to celsius first, and then we're going to have to go from celsius to fahrenheit, just like we did in similar problems previously.

00:25 So we'll start with part a, which is 233 kelvin.

00:29 So what you would do here is you would first subtract 273 .15.

00:39 This problem, you might not necessarily need to include the one five, only because if you're taking into account significant figures, we're probably going to just have three for this answer, because 233 is only three significant figures.

00:55 So that's going to give us minus 40 .1 .1.

00:59 As our answer and then we're going to take that number and we're going to convert it to fahrenheit so the way that we do that right is we multiply it by nine -fifths so what degrees fahrenheit here multiply my nine -fits we're going to plug in minus 40 .15 we're going to add 32 to that and then rounding to three significant figures we're going to cut that off at 40 .3 degrees fahrenheit.

01:34 Same thing for part b, right? so we have four kelvin.

01:37 So the first thing we're going to do is we're going to subtract 273 .15 from that.

01:44 And you're going to get negative 269 .15 degrees celsius.

01:57 We're going to take that number, multiply it by 95.

02:02 Add 32 and then we'll round to i guess you could technically round to one significant figure because 4 kelvin only has one significant figure but when you do the math your answer is minus 452 degrees fahrenheit so you could express that really as five times 10 to the second degrees fahrenheit if you want to include significant figures for this problem.

02:39 Part c, this is pretty much room temperature.

02:43 So 298 kelvin, so we're going to subtract 273 .15 from this, and we're going to get 24 .85 degrees celsius...

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