Identifying a Diatomic Gas at STP

ChemistryGas Laws and StoichiometryMediumSTEM

Published:

4. Challenge! Which diatomic gas has a mass of $19.764 \text{ g}$ and a volume of $16.012 \text{ L}$ at S.T.P?

Animated Video Solution

The first half plays free, the full solution is in the app.

Step by Step Written Solution

1
Step 1

Let's work through these chemistry problems involving gas laws and stoichiometry at S T P conditions. We will solve questions four and five from the image.

Gas Laws at STP

2
Step 2

Question four asks us to identify a diatomic gas given its mass and volume at S T P. First, let's recall what S T P represents.

Question 4: Identify the Diatomic Gas

3
Step 3

Standard Temperature and Pressure, or S T P, means that one mole of any ideal gas occupies exactly twenty-two point four liters.

$$V_{m} = 22.4 \text{ L/mol}$$
4
Step 4

We are given a mass of nineteen point seven six four grams and a volume of sixteen point zero one two liters. To identify the gas, we need its molar mass.

$$m = 19.764 \text{ g}$$
$$V = 16.012 \text{ L}$$
5
Step 5

First, we find the number of moles by dividing the given volume by the molar volume at S T P.

$$n = \frac{V}{V_{m}}$$
6
Step 6

Substituting our values, n equals sixteen point zero one two liters divided by twenty-two point four liters per mole.

7
Step 7

This gives us approximately zero point seven one four eight moles.

8
Step 8

Now, we find the molar mass by dividing the total mass by the number of moles.

$$M = \frac{m}{n}$$

The rest of this solution is on Solvi

8 more steps are locked. Watch the full animated, narrated solution for free.

Snap a photo, solve any question like this.

Download on the App Store Get it on Google Play

Free to download · First solutions are on us

100K+Questions solved daily
50K+Students learning
4.8 ★App Store rating

About This Question

Subject
Chemistry
Topic
Gas Laws and Stoichiometry
Difficulty
Medium
Exam
STEM
Question Type
Open Ended

Solve any question in seconds

Snap a photo and AI explains it step by step with voice and animation.

Download on the App Store Get it on Google Play
Solvi
The full solution is in the appFree to download · First solutions are on us
Get