document.write( "Question 258174: Hello,\r
\n" ); document.write( "\n" ); document.write( "Can someone please help me with this question?\r
\n" ); document.write( "\n" ); document.write( "What is the mathematical difference between a pH of 5.0 and a pH of roughly 4.0 - is it really that big of a difference?\r
\n" ); document.write( "\n" ); document.write( "Thank you for your help
\n" ); document.write( "

Algebra.Com's Answer #190043 by drk(1908)\"\" \"About 
You can put this solution on YOUR website!
The pH scale is logarithmic and as a result, each whole pH value below 7 is ten times more acidic than the next higher value. For example, pH 4 is ten times more acidic than pH 5 and 100 times (10 times 10) more acidic than pH 6.
\n" ); document.write( "--
\n" ); document.write( "The concentrations of hydrogen ions and indirectly hydroxide ions are given by a pH number. pH is defined as the negative logarithm of the hydrogen ion concentration. The equation is:\r
\n" ); document.write( "\n" ); document.write( "pH = - log [H+]
\n" ); document.write( "--
\n" ); document.write( "Example: If an acid has an H+ concentration of 0.0001 M, find the pH.
\n" ); document.write( "Solution:
\n" ); document.write( "First convert the number to exponential notation, find the log, then solve the pH equation.\r
\n" ); document.write( "\n" ); document.write( "H+ = 0.0001M = 10-4; log of 10-4 = -4;\r
\n" ); document.write( "\n" ); document.write( "pH = - log [ H+] = - log (10-4) = - (-4) = +4 = pH\r
\n" ); document.write( "\n" ); document.write( "The purpose of the negative sign in the log definition is to give a
\n" ); document.write( "positive pH value.
\n" ); document.write( "--
\n" ); document.write( "The PH of coffee = 5
\n" ); document.write( "The PH of orange juice = 4
\n" ); document.write( "
\n" );