Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

(I) $(a)$ What is the average translational kinetic energy of an oxygen molecule at STP? (b) What is the total translational kinetic energy of 1.0 mol of $\mathrm{O}_{2}$ molecules at $25^{\circ} \mathrm{C}$ ?

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

(a) $5.65 \times 10^{-21} J$(b) $3700 . J$

Physics 101 Mechanics

Chapter 18

Kinetic Theory of Gases

Temperature and Heat

University of Washington

Simon Fraser University

University of Winnipeg

McMaster University

Lectures

0:00

(I) $(a)$ What is the aver…

02:54

01:51

(I) ($a$) What is the aver…

02:41

01:06

What's the average ki…

01:35

What is the average kineti…

03:41

For an average molecule of…

00:33

01:37

(a) What is the average ki…

02:19

(a) What is the average k…

04:59

Determine the average valu…

03:27

Determine the average val…

01:19

The average translational …

At STP, what is the total …

09:30

01:49

If 2.0 mol of oxygen gas …

Okay, so we're in chapter 18. Problem one here. So this problem says, um, what is the average translational, kinetic energy of an oxygen molecule, STP, which is standard temperature in, As you know, I'm a spherical pressure. So to do this, we know that the equation for the average kinetic energy here is just given as three halfs Katie, with kay being the bolts been constant. So this is just ah, easy. We know that STP temperature is 217 killed him so we can just plug. Listen. So we have 3/2 times the boatman Constant, which is 1.38 times 10 to the negative. 23 Jules per kelvin, The times to 73 Calvin and we'll have to do is plug that in. Our calculator will see the Calvins cancel out. We're left with I 0.65 times 10 to the negative 21. Jules. Awesome. That was part of a in part B now says, what is the total train releases kinetic energy of one bowl of 02 at 25 degrees Celsius. Okay, so the total translational energy is the average Connecticut Energy times, the number of molecules so we know that's right. The total kinetic energy as k e g for total or a couple. And this equals in times K average. So this is just in molecules. Times three House Kei Viti. Cool. So how many molecules is one more? Well, one more equals one times avocado groves number molecules, which is 6.22 times 10 to the 23 Cool and then 25 degrees Celsius is the same as 2 98 degrees Kelvin. Awesome. So that should be everything we need now so we can start plugging in so r k e total. This equals 6.2 terms into the 23. That's how many molecules we have. Times. Three, huh? And then both been constant. 1.38 times, 10 to the negative. 23 end times 2 98 Awesome. We can plug that in, and we should see that the total commanding energy here is 300 or 3700 rules. Awesome

View More Answers From This Book

Find Another Textbook