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# Experiment #5 PowerPoint PPT Presentation

Experiment #5. Avagadro’s Number 6.02 x 10 23 And The Standard Deviation x  S. Introduction. Purpose : Relate a gram formula weight to Avogadro’s number by using the dimensional analysis approach and determine the correct number of significant figures in your applications.

Experiment #5

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### Experiment #5

And The Standard Deviation

x  S

### Introduction

• Purpose:

• Relate a gram formula weight to Avogadro’s number by using the dimensional analysis approach and determine the correct number of significant figures in your applications.

• Compute the standard deviation for the volume of water delivered by a 10 mL Graduate Cylinder.

### Key Ideas

• Amu Vs. Gram –

• Atom Vs. Ion –

• Atom Vs. Mole –

• Formula Weight –

• GFW,GAW,GMW –

• Dimensional Analysis –

• Standard Deviation –

Amu – We use if we are talking about the mass of an atom. Ex. the mass of an iron atom is 55.8 amus.

Gram – We use if we are talking about the mass of a mole

or fraction of a mole. Ex. The mass of one mole of iron is

55.8 grams.

### Amu Vs. Gram

Ion

Atoms

Not on the Periodic Table

On Periodic Table

Have a charge; can be

positive or negative.

Do not have a charge

Do not React

React

Only one atom

Canbe more then one atom

Equal number of

Protons & Electrons

Unequal number of

Protons and Electrons

### AtomVs. Ion

Mole

Atom

6.02X10 23 Atoms

1Atom

Larger mass measured in grams

Very small mass

measured in Amus

Larger in size

Can be seen

Very Small in size

Can’t be seen

### Formula Weight

Formula weight – the mass of the collection of atoms represented by a chemical formula. For Ex. water contains two hydrogen atoms and one oxygen atom.

1 x 16.00 (mass of O) = 16.00

2 x 1.01 (mass of H) = + 2.02

Formula Weight  18.02

The formula weight tells us the mass of one mole of our substance.

GFW – Gram Formula Weight

This refers to the mass of an ion or

ionic compound

Ex. Mass of a Cl-

GAW – Gram Atomic Weight

This refers to the mass of a atom

Ex. Mass of a Cl atom

GMW Gram Molecular Weight

This refers to the mass of a molecule or molecular compound

Ex. Mass of one molecule of H2O

### How do Avagadro’s number, Mole and GAW Apply to each other?

• One mole of Tin has a mass of 118.69g.

• One atom of Tin has a mass of 118.69 Amu.

• One mole of Tin contains 6.02X1023 atoms.

### Dimensional Analysis

Convert 10 m to mm

Remember 1 m = 1000mm

They both mean the same thing it all depends on what you need.

What you are given

always over 1

The 1 is a filler.

# 1

The unit you want to eliminate is placed in the lower right so it will cancel out with your original unit.

# 2

# 3

Mult. left to right

divide top to bottom

### Dimensional Analysis

X going and / going

### Keep in mind

Find the # of moles in

the sample of Tin. Given

the sample has a mass

of 29.04g

### Ex#1 pg 51

To determine the g formula wt.

determine the mass of all atoms present.

To determine #g / moleculethink about the units

Think how can we compare grams and molecules? We need to use moles.

So # grams per mole / number of parts in 1 mole

To determine the number of atoms per mole

add up the number of atoms in the formula

X = Avg

### Standard Deviation

• This is how much your value is off from the actual answer. Can be used as a correction factor.

• Ex. A 1mL pipette delivers 1mL + or - .007mL

• So the pipette delivers .9993mL or 1.007 mL.

Mass of Beaker

110.51g

110.51g

110.51g

110.51g

110.51g

Mass of Beaker & water

109.50g

111.53g

109.50g

109.50g

111.53g

M H2O

1.01g

1.02g

1.01g

1.01g

1.02g

Density of H20 = 0.9982 g/mL

Vol. of

pipet

1.01mL

1.02mL

1.01mL

1.02mL

1.02mL

Use V= M/D to determine volume delivered

### Standard Deviation Ex. 1 mL Pipette

#1

X avg.= 1.02 mL

(Xi-Xavg.)2

(a).01 =1.0X10-4

(b) 0 = 0

(c).01 =1.0X10-4

(d) 0 = 0

(e) 0 = 0

#3

Xi-Xavg.

(a)1.01-1.02=.01

(b)1.02-1.02= 0

(c)1.01-1.02=.01

(d)1.02-1.02= 0

(e)1.02-1.02= 0

#2

#5

∑(Xi-X avg.)2/N-1

#4

∑(Xi-X avg.)2

Take Square Root of Step #5

#6

N= number of trials

### Due Next Week

• Pages 51 & 53 we are determining the number of atoms / ions or moles that are asked for.

• YOU MUST SHOW ALL WORK FOR CREDIT!!

• Page 55 complete the table and show all work.

• Pages 61 determine the St. Dev. for 1 mL pipette ( I do as a example)

• Page 63 determine the St. Dev. for a 10mL. graduated cylinder.