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# Logarithm Project

Our project is introducing logarithms into pH in Chemistry and Physiology. Enjoy!

by

Tweet## Haley Beeson

on 15 April 2010#### Transcript of Logarithm Project

pH in Chemistry and Physiology Problems Pictures

Example 1: Calculate the pH of a solution containing 0.5 M HCl:

Because this is a strong acid, [strong acid] = [H3O+]:

[HCl] = 0.5 M = [H3O+]

pH = -log[H3O+] = -log[0.5] = 0.3

Example 2: Calculate the pH of a solution containing 0.01 M strong base:

There are two ways to solve this problem, the first being the fastest:

1. The first approach is to figure out the pOH, then use the rule pH + pOH = 14.

[strong base] = 0.01 M = [OH-]

pOH = -log[OH-] = -log[0.01] = 2

pH = 14 - pOH = 12

2. The other approach is to use the rule you learned: [H3O+][OH-] = Kw

[H3O+] = 10-14/[0.01] = 10-12

pH = -log[H3O+] = -log[10-12] = 12

Links http://www.purchon.com/chemistry/ph.htm Physiology is the science of the functioning of living systems. pH is equal to to the negative logarithmic value of the Hydrogen ion (H+) concentration, or

pH = -log [H+]

pH can alternatively defined as the negative logarithmic value of the Hydroxonium ion (H3O+) concentration. Using the Bronsted-Lowry approach

pH = -log [H3O+]

The science of matter; the branch of the natural sciences dealing with the composition of substances and their properties and reactions

Logarithm A logarithm is the exponent of a base number which makes the exponential form equal to another natural number.

For example [10^2 = 100], if the base number 10 has an exponent of 2, the expression is equal to 100.The exponent 2 is the logarithm of 100.

The logarithm of 1000 would be 3 [10^3 = 1000]. The pH of a solution can be used to describe the acidic or basic qualities of soil samples, cosmetics, food, beverages, etc. The log scale can be thought of as the reverse of exponential scale. It is denoted as following: loga^b=x, means a^x=b. Thus log10^100=2. In this notation, 'a' is called the 'base', and the equation is pronounced as logarithm of 'b' to the base 'a' is 'x'. Normally, in logarithms, bases used are 10 and 'e'. Find the pH if {H+} = 2.3 x 10 -5 https://hex1.lfschools.net/owa/?ae=Item&a=Open&t=IPM.Note&id=RgAAAADOLhXI%2fUpVRKIznAiIHw8JBwCzjcGv%2bRheQbpveSj7%2bTbtAAFL4HsVAACzjcGv%2bRheQbpveSj7%2bTbtAE1bnFedAAAJ THE END!Thank you for

listening, hope you

enjoyed! By: Haley Beeson, Caitlin & Courtney Carani and Veronica Lilja!

Full transcriptExample 1: Calculate the pH of a solution containing 0.5 M HCl:

Because this is a strong acid, [strong acid] = [H3O+]:

[HCl] = 0.5 M = [H3O+]

pH = -log[H3O+] = -log[0.5] = 0.3

Example 2: Calculate the pH of a solution containing 0.01 M strong base:

There are two ways to solve this problem, the first being the fastest:

1. The first approach is to figure out the pOH, then use the rule pH + pOH = 14.

[strong base] = 0.01 M = [OH-]

pOH = -log[OH-] = -log[0.01] = 2

pH = 14 - pOH = 12

2. The other approach is to use the rule you learned: [H3O+][OH-] = Kw

[H3O+] = 10-14/[0.01] = 10-12

pH = -log[H3O+] = -log[10-12] = 12

Links http://www.purchon.com/chemistry/ph.htm Physiology is the science of the functioning of living systems. pH is equal to to the negative logarithmic value of the Hydrogen ion (H+) concentration, or

pH = -log [H+]

pH can alternatively defined as the negative logarithmic value of the Hydroxonium ion (H3O+) concentration. Using the Bronsted-Lowry approach

pH = -log [H3O+]

The science of matter; the branch of the natural sciences dealing with the composition of substances and their properties and reactions

Logarithm A logarithm is the exponent of a base number which makes the exponential form equal to another natural number.

For example [10^2 = 100], if the base number 10 has an exponent of 2, the expression is equal to 100.The exponent 2 is the logarithm of 100.

The logarithm of 1000 would be 3 [10^3 = 1000]. The pH of a solution can be used to describe the acidic or basic qualities of soil samples, cosmetics, food, beverages, etc. The log scale can be thought of as the reverse of exponential scale. It is denoted as following: loga^b=x, means a^x=b. Thus log10^100=2. In this notation, 'a' is called the 'base', and the equation is pronounced as logarithm of 'b' to the base 'a' is 'x'. Normally, in logarithms, bases used are 10 and 'e'. Find the pH if {H+} = 2.3 x 10 -5 https://hex1.lfschools.net/owa/?ae=Item&a=Open&t=IPM.Note&id=RgAAAADOLhXI%2fUpVRKIznAiIHw8JBwCzjcGv%2bRheQbpveSj7%2bTbtAAFL4HsVAACzjcGv%2bRheQbpveSj7%2bTbtAE1bnFedAAAJ THE END!Thank you for

listening, hope you

enjoyed! By: Haley Beeson, Caitlin & Courtney Carani and Veronica Lilja!