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Percent error is often expressed as the absolute value of the difference between the true value and the experimental value, divided by the true value: percent error $=\frac{| \text { true value }-\text { experimental value } |}{| \text { true value } |} \times 100 \%$ The vertical lines indicate absolute value. Calculate the percent error for the following measurements:(a) The density of alcohol (ethanol) is found to be $0.802 \mathrm{g} / \mathrm{mL} . \text { (True value: } 0.798 \mathrm{g} / \mathrm{mL} .)$ (b) The mass of gold in an earring is analyzed to be 0.837 g. (True value: 0.864 g.)

a. $$0.5 \%$$b. $$=3.1 \%$$

Chemistry 101

Chapter 1

Chemistry: The Study of Change

Intro to Chemistry

Rice University

University of Kentucky

Lectures

02:29

Chemistry is the science of matter, especially its chemical reactions, but also its composition, structure and properties. Chemistry deals with atoms and their interactions with other atoms, and particularly with the properties of chemical bonds. Chemistry also involves understanding the properties and interactions of individual atoms and molecules for use in larger-scale applications.

04:42

In chemistry and physics, matter is any substance that has mass and takes up space by having volume. All everyday objects that can be touched are ultimately composed of atoms, which are made up of interacting subatomic particles, and in everyday as well as scientific usage, "matter" generally includes atoms and anything made up of them, and any particles and objects that act as if they have both rest mass and volume. However it does not include massless particles such as photons, or other energy phenomena or waves such as light or sound. Matter exists in various states (known as phases) that are defined by various physical properties, such as state of matter, phase, shape, and density. The Standard Model of particle physics and the general theory of relativity describe fundamental particles and the fundamental forces acting between them that control the structure and dynamics of matter.

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02:03

Hi. So this question deals with percent error and the equation for percent, A really given to write their true value minus experiments value over the true value, all absolute value and then times 100%. Okay, As you can see from this, basically 1% areas is kind of the percentage off of the true value that your experimental value is. So how off you are from the true value? Okay, so for on this question, just want to calculate percent air for two parts here. Thats first probably have the density of alcohol or ethanol is found to be 0.802 grounds. Premier leader. But the true value is 0.798 grands per mil leader. So are true. Value is 0.798 grams per milliliter. So 0.798 true value minus what minus our experimental right are found value. So which is zero point 80 to all over the true value time. 100%. Okay, So it plugs into our calculator here and and the and you should get you should get, um, 0.5 01 percent air. Okay. It's a pretty simple. Plug and chug. Let's do the next one. The massive ah, gold engineering. And then you get zero point 837 for your experimental, and their true value is 0.864 So you can just write this in your 0.86 fours are true. Value minus are experimental, which is 0.837 and notice when you do percent air. You don't really get units because the units cancel out, of course. So just make sure everything is in the same unit. So okay, times 100% click. Listen. And then let's see you forget. She got three point one three percent there and I rounded to three sig figs because I have 36 pigs as my my equation. Okay, so pretty simple. But percent air is very important and just chemistry and stuff. So I hope this is helpful. And thank you for listening

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