   # Given that the density of argon is 1.78 g/L under standard conditions of temperature and pressure, how many argon atoms are present in a room with dimensions 4.0 m × 5.0 m × 2.4 m that is filled with pure argon under these conditions of temperature and pressure? ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 2.10, Problem 6Q
Textbook Problem
6 views

## Given that the density of argon is 1.78 g/L under standard conditions of temperature and pressure, how many argon atoms are present in a room with dimensions 4.0 m × 5.0 m × 2.4 m that is filled with pure argon under these conditions of temperature and pressure?

Interpretation Introduction

Interpretation:

The numbers of argon atoms present in room with given dimensions has to be calculated.

Concept introduction:

Moles: One mole is equivalent to the mass of the substance consists same number of units equal to the atoms present in 12g of12C.

From given mass of substance moles could be calculated by using the following formula,

Molesofsubstance GivenmassofsubstanceMolecularmass

Equation for number of atoms is,

Number of moles×6.022×1023atoms=number of atoms

Equation for density from volume and mass is,

Density=MassVolume

### Explanation of Solution

The dimensions of the room are given that4m×5m×2.4m.

Therefore, the volume of the room is,

4m×5m×2.4m=48m3=48m3×1L103=4.8×104L

The density of the argon is given as1.78g/L.

Equation for mass from volume and density is,

Density×Volume=Mass

Therefore, the mass of argon cube is,

1.78g/L×4.8×104L=8.54×104g

Conversion formula for mass of an atom and number moles,

Numberofmoles=MassingramsMo<

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
A daily regimen of supplements and vitamin D-enriched foods increases the risk of vitamin D toxicity. T F

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

What is the significance of an inversion?

Fundamentals of Physical Geography

What is the difference between hydrocarbons and other organic molecules?

Biology: The Dynamic Science (MindTap Course List)

A proton is projected in the positive x direction into a region of a uniform electric field E = (6.00 105)iN/C...

Physics for Scientists and Engineers, Technology Update (No access codes included) 