pH and related information

Facts on mole gram mole and pH

Mole: 6.02×10^23 parts
Gram mole: mole in grams
eg one mole of water=6.02×10^23 H2Os and 1 gram mole of water=18g water.

What do we understand by [H]+=1×10^-7 Mole/L or gram mole/L

1 mole of H+ =6.02×10^23 H+s
10^-7 moles  = x
  x= 10^-7×6.02×10^23=6.02×10^16 H+s
This means that 1 L of water contains 6.02×10^16 H+s
Or
1 gram mole of H+= 1gram
10-7 gram mole =  x grams
   x= 1×10^-7=10^-7 grams
This means that one L of water contains 10^-7 grams of H+s.

Similarly for water [OH]-=10^-7 mole/L or gram mole/L. This means that water contains 10^-7 mole/L or 10^-7 gram mole/L or 6.02×10^16 parts of OH- or 1.7×10^-6 grams of OH-.
Because:
1 mole of OH- =6.02×10^23 OH-s
10^-7 moles of OH- = x
  x=6.02×10^23x10^-7= 6.02×10^16 OH-s
1 gram mole of OH- =17 gram
10^-7 gram mole = x
x =10^-7×17=1.7^10-6 gram
          (About 1 out of 1 crore)

By value mole and gram mole are same like 1 dollar is equal to 100 rupees but by quantity they are different like 1 and 100. Mole is a number and gram mole is weight. eg for H2O 1 mole (6.02×10^23 parts) =1 gram mole (18 gram). If I ask you to give me 1 mole of water, you can't because counting me 6.02×10^23 parts H2Os can take you 100 crore years. So why not you give me one gram mole of wate by simply weighing me 18 grams of water. A 15 second job. Similarly you can give me 1 dollar quicker than 100 rupees.