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Fundamentals of chemistry: Basic Definitions (for Grade - 9 students),

Question: What is mole? Give examples.
Answer:
Mole: 
An amount of a substance that contains 6.022
 × 1023 particles of that substance is known as a mole of that substance. 
For example, a mole of carbon has 6.022 × 1023 atoms. A mole of sulphur has 6.022 × 1023 atoms. A mole of water has 6.022 × 1023 molecules. 
Question: What is Avogadro’s number?
Answer
Avogadro’s number: 
The number of particles present in one mole of a substance is called Avogadro's number. The experimentally determined number i.e. 6.022 × 1023 is known as Avogadro’s number. It is represented by NA.

Molar mass: The mass of one mole of substance is known as molar mass. or The mass of Avogadro’s number of particles of a substance is called molar mass. The molar mass of carbon is  12 g. The molar mass of S is 32 g. 

Question: Define following terms: a. Gram atomic mass  b. Gram molecular mass  c. Gram formula mass.
Answer:
a. Gram Atomic Mass :
 Atomic mass of an element expressed in grams is known as gram atomic mass. 
Examples 1 
                            Atomic mass of C = 12amu 
               ∴ Gram atomic mass of C = 12g 
Example 2
                          Atomic mass of Na = 23amu 
              ∴ Gram atomic mass of C = 23g 
Example 3
                          Atomic mass of Zn = 63.54amu 
             ∴Gram atomic mass of C = 63.54g 

b, Gram molecular mass: 
Molecular mass of a substance expressed in grams is known as gram molecular mass. 
Example 1.  
 Molecular mass of H2O = 2 × 1.008 + 16 
                                             = 18.016amu  
  So, gram molecular mass of H2O = 18.016g 
Example  2        
 Molecular mass of C6H12O6  = 6 × 12 + 12 × 1.008 + 16 × 6  = 180.096 amu 
  So,
 gram molecular mass of C6H12O6 = 180.096g 

c. Gram formula mass: Formula mass of a substance expressed in gram is known as gram formula mass. For an ionic compound, formula unit is representative particle that represents the simplest ratio between the ions of a compound. 
For example NaCl, KCl, CuSO4 etc. 
Example 1.
 Formula mass of NaCl = 23 + 35.5 = 58.5amu 
 Therefore,  
   gram formula mass of NaCl = 58.5g 
 Example 2.  
  Formula mass of KCl = 39 + 35.5 = 74.5amu 
   so, 
   gram formula mass of KCl = 74.5g 

Question: Difference between the terms gram atomic mass, gram molecular mass and gram formula mass 
Answer
(i) Gram atomic mass is used to express one mole of atoms of an element, gram molecular mass is used to express one mole of molecules of a compound or an element that exists in molecular state whereas gram formula mass is used to express one mole of ionic formula units of an ionic compound. 
(ii) Gram atomic mass has 6.022 × 1023 atoms, gram molecular mass has 6.022 × 1023  molecules whereas gram formula mass has 6.022  × 1023 formula units. 
(iii) All of these terms represent molar mass. Mass of one mole of a substance expressed in grams is called molar mass

Example: Calculating the number of moles in the given number of atoms  

Titanium is corrosion resistant metal that is used in rockets, aircrafts and jet engines.  Calculate the number of moles of this metal in a sample containing 3.011 x 1023 Ti-atoms. 

Tactics:                   

To calculate number of moles from a given number of particles (atoms), write an equation  by placing number of moles (unknown quantity ) on right hand side and  number of atoms (known quantity) on left hand side of  the equation and follow these steps.

Step 1:

First write a known relation between these particles (known quantity) and mole (unknown quantity) with mole on right hand side of the equation. 

6.022 × 1023 atoms = 1 mole. 

Step 2:

Next, find number of moles (unknown quantity) for '1' atom of known quantity (by dividing with i.e., 6.022 × 1023) . If already there is 1 on the left side of equation, then no need of step 2. 

Step 3

Then, multiply the equation with given quantity and value on right hand side of equation will be the required quantity.

Solution: 

Step 1:

6.022 × 1023 atoms of Ti = 1 mole of Ti 

Step 2:

1 Ti atom     = 1/6.022 × 1023 moles of Ti    

Step 3:

3.011 × 1023 Ti atoms  =  3.011 x 1023 × 1/6.022 x 1023  

                                     = 0.5 moles of Ti 

Example: Formaldehyde is used to preserve dead animals. Its molecular formula is CH2O.  Calculate the number of moles that would contain 3.011 × 1022 molecules of this compound. 

Solution: 

6.022 × 1023 molecules of formaldehyde  = 1 mole of formaldehyde  

1 molecule of formaldehyde 

= 1/6.022 × 1023 moles of formaldehyde 

= 3.011 × 1022 molecule of formaldehyde 

= 3.011 x 1022  × 1 /6.022 × 1023    

  = 0.05 moles of formaldehyde  

Self-Assessment
Aspirin is a compound that contains carbon, hydrogen and oxygen. It is used as a  painkiller. An aspirin tablet contains 1.25 × 1030 molecules. How many moles of this  compound are present in the tablet? 
Solution 

6.022 × 1023 molecules of aspirin   = 1 mole of aspirin

1 molecule of aspirin = 1/6.022 x 1023 moles of aspirin 

1.25 × 1030 molecule of formaldehyde = 1.25 × 1030  × 1 /6.022 × 1023   

 = 2.0 × 108 moles of aspirin


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