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Carry out the following conversions: (a) 1.42 lightyears to miles (a light-year is an astronomical measure of distance - the distance traveled by light in a year, or 365 days; the speed of light is $3.00 \times 10^{8} \mathrm{m} / \mathrm{s}$ ). (b) 32.4 yd to centimeters. (c) $3.0 \times 10^{10} \mathrm{cm} / \mathrm{s}$ to ft/s.

a. $1.42 y r \times \frac{365 d a y}{1 y r} \times \frac{3600 s}{1 h} \times \frac{24 h}{1 h} \times \frac{3.00 \times 10^{8} m}{1 s} \times \frac{1 m i}{1609 m}=$ $8.35 \times 10^{12} \mathrm{mi}$b. $32.4 y d \times \frac{36 i n}{1 y d} \times \frac{2.54 c m}{1 i n}=2.96 \times 10^{3} \mathrm{cm}$c. $\frac{3.0 \times 10^{10} \mathrm{cm}}{1 \mathrm{s}} \times \frac{1 \mathrm{in}}{2.54 \mathrm{cm}} \times \frac{1 \mathrm{ft}}{12 \mathrm{in}}=9.8 \times 10^{8} \mathrm{ft} / \mathrm{s}$

Chemistry 101

Chapter 1

Chemistry: The Study of Change

Intro to Chemistry

Rice University

Brown University

University of Toronto

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.

02:28

Carry out the following co…

04:18

0:00

A light-year is the dista…

01:39

The wrong unit conversion …

02:30

Perform each conversion.

01:28

(a) A light-year, the dist…

Hi. So this question is asking to carry out the following conversions. And yes, it was, just gets right into it. First, we have 1.42 light years or the amount of distance light would travel within a year and then when you to convert it to miles. So first, let's just convert. Um, we need to convert this into second so we can multiplied by the speed of light so we can convert that distance into miles. So let's just convert this time in two seconds. So 1.42 years, How many days? And here we have 365 days year in one year. And you wanna put year on the bottoms that you can cancel out your units here and then how many days? How many hours? Air in a day. 24 hours in one day. All right, so now you're days will cancel out. And then how many seconds in an hour? 3600 seconds in an hour. And then your hours will cancel out pregnancy, always left with seconds, and then we'll multiply this by the speed of light so we can get two meters, 3.0 times 10 to the age meters her second. Now we'll get it meters, and then we want to convert this two miles. Right? So how many meters on? One mile. If you just look this up, you should get 16. 09 or 1609 meters. And he's plugged us all in 1.42 times, 3 65 times. 24 times. 303,600 times. Three times 10 to the eighth, divided by 16. 09 We should get 8.35 times 10 2 12 miles. Okay, so a very large number. And as you can see, we have 366 here because in our answer, our in our initial question initial number was 36 You just keep that same out of secrets here, Okay? Now look at the next question. 32.4 yards to, uh see two centimeters. So this should be a little more. A little less steps than the last question. Basically, we're just going to convert yards and two inches and injustice. Centimeters. So how many inches are in a yard? Three feet, right? And 12 inches per foot. So we're gonna have 36 inches pretty yard in the yards will cancel up. And then how many centimeters? Fridge two point 54 See him per inch. And you could just pluck all of the sense of 32.4 times. 36 times, 2.54 And you should get oh, two point 96 times 10 to the three centimeters. And again, you have three sig figs because your initial value was 36 games. Now for this last one, they want you convert three times 10 to the 10 centimeters per 2nd 2 feet per second. So this is kind of the reverse of those last one. We're gonna be converting centimeters two inches and inches defeat. So we're gonna put senators in the bottom 2.54 centimeters orange. I only have to worry about the top because seconds is still going to stay seconds as we go to feet per second, right. Instead of usual, cancel out and then we're gonna multiply one foot for 12 inches. All right? And then now the angels will cancel out. I always end up with feet, feet per second rate three times 10 to the 10th divided by 2.54 divided by 12. And you should get nine eight times. Tend 28 feet for a second. Okay, Now it's too sick fix here because we have to say fix in the beginning. So you six figures again here. Okay. So, um yeah, that's basically this whole question, and I hope this is helpful not to understand unit convergence A lot better. Thanks for listening.

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