Download the App!

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

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

A flask with a volume of 14.5 L contains 1.25 moles of helium gas. Estimate the average distance between He atoms in nanometers.

$$2.68 \mathrm{nm}$$

Chemistry 101

Chapter 5

Gases

Carleton College

Rice University

University of Kentucky

University of Toronto

Lectures

05:03

In physics, a gas is one of the three major states of matter (the others being liquid and solid). A gas is a fluid that does not support tensile stress, meaning that it is compressible. The word gas is a neologism first used by the early 17th-century Flemish chemist J.B. van Helmont, based on the Greek word ("chaos"), the simplest of all the elemental forms of matter.

04:46

In physics, thermodynamics is the science of energy and its transformations. The three laws of thermodynamics state that energy can be exchanged between physical systems as heat and work; that the total energy of a system can be calculated by adding up all forms of energy in the system; that energy spontaneously flows from being localized to becoming dispersed, spread out, or uniform; and that the entropy of an isolated system not in equilibrium will tend to increase over time, approaching a maximum value at equilibrium.

03:08

What is the temperature of…

01:26

A 0.48-mole sample of heli…

04:26

Consider a balloon filled …

03:49

(a) How many atoms of heli…

01:41

01:31

A spherical balloon of vol…

04:01

Here we have, we have plus ithavolume a volume of 14.5 later containing containing 1.25 moles of helium gas. We need to find you to find the average the average distance distance between the helium atoms between helium atoms calculations. In reality, the reality helium atoms will move will move randomly saw the distance between distance between each other. Each other varies howeverhowever to find the average to find the average distance distance. We can assume that the helium atoms are atoms, are fixed and uniformly fixed aim uniformly. Formly distribute distributed distributed throughout through out the entire volume, more or moral weight will assume assume that each atom is confined in small cubes occupied by 1 helium atom using abogado number using avogadros snow burn v divided by atom is equal to 14.5 liter into 1 cubic Meter divided by 1000 liter into we have 1.25 mole into 6.02 to multiply 10 raised to the power 23 atoms divided by 1. Mole is equal to. We have 1.93 multiplied 10 raised to the power. Minus 626 meter cube atom. Now we can find the length find the length of the small cube partition partitions, assuming assuming that they that the atoms are at center of each cube. Then the distance distance between distance between each atom is just equal. Equal to the length of the side of each cube b is equal to q. S is equal to v. 1 by 3 is equal to 1.93 multiplied. 10 raised to the power minus 26 meter cube. Whole 1 by 3 is equal to 22.68 multiplied 10 raised to the power 9 minus 9 meter. So s is equal to 2.68 nanometer.

View More Answers From This Book

Find Another Textbook

00:59

Match each of the elements on the right with its description on the left:

03:45

The species $\mathrm{H}_{3}^{+}$ is the simplest polyatomic ion. The geometr…

02:41

The molar solubility of $\mathrm{MnCO}_{3}$ is $4.2 \times 10^{-6} \mathrm{M…

02:37

Consider the second-order reaction$$\mathrm{NO}(g)+\mathrm{Cl}_{2}(g) \l…

01:06

When magnesium metal is burned in air, it forms two products $A$ and $B$. A …

04:59

In a titration experiment, $20.4 \mathrm{mL}$ of $0.883 \mathrm{M}$ HCOOH ne…

01:49

Explain how you would prepare potassium iodide (KI) by means of (a) an acid-…

07:52

Calculate the percent ionization of benzoic acid having the following concen…

05:43

Determine the final state and its temperature when $150.0 \mathrm{kJ}$ of he…

05:10

How many grams of $\mathrm{CaCO}_{3}$ will dissolve in $3.0 \times 10^{2} \m…