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Deriving formu...

posted Jan 29, 2015, 11:36 PM by Ranmini Perera   [ updated Dec 3, 2015, 8:52 PM by Upali Salpadoru ]
fruits.jpg

Deriving Chemical Formulae.

Mass of a strawberry is 10g . 
Mass of one grape is 2g. 

We have bought 500g of strawberries and the 
same mass of grapes. 
Can you find the number fruits in each category?

Na

C

O

 H

 Cu

 Ca

 Pb

 Hg

 

 

23

12

16

 1

 64

 40

 207

 200

 

 


Fig.1 Grapes and strawberries.  

Calculating the number of fruits.

Mass of straw berries   …………….= 500g
Mass of one berry………………….=  10g
 Number of berries                            =   500g ÷ 10 g  =  50 fruits.

Mass of one grape …………………= 2g
  Number of grapes ………………..= 500g ÷   2    =  250 fruits

The number ratio of fruits strawberries : grapes =  50 : 250    =   1: 5
If you are to packet lot according to availability  It should be in this ratio.
Each packet will have   =  strawberry 1 grapes5
                              This is similar to a chemical formula.

 

A chemical consisting of three elements  had the  following percentages by mass.

Na = 43.40 %                  C = 11.30 %   O  =  45.3 %

Find the formula of the compound.

 

Mass ratios of the elements………………= 43.4 :  11.3  :   45.3

 Number ratio……………………………......=43.4/ 23  :  11.3/ 12  :  45.3/ 16

 23,12 and 16 are the atomic masses of Na, C and O.

 Converting fractions to decimals…………= 1.89 : 0.942: 2.83

Divide these numbers by the smallest value, which is 0.942.       

 The we get ……………………………….= 2: 1 : 3

Formula of the chemical is                         =  Na2 C1 O3

                                           (We don’t have to write the 1 for C.  )                                                      

This is the formula of Sodium carbonate.

It will be interesting to find the formulae of these; 


Question

Mass ratio

Number ratio

Formula

1.0

Mass of  Mercury oxide  54 g

Mercury formed after heating = 50 g

 

 

Hg : O

50 : 4

 

…./200 … :  …../  16

 

2.0

340 g of a compound containing only Hydrogen and Oxygen was decomposed.

Mass of Oxygen obtained = 320 g

Mass of Hydrogen = …………g

 

 

 

H : O

….: ……

 

 

…..÷ …..: …..÷ ……..

 

3.0

When 1.6g of Copper was heated in air mass increased to 1.8g. Assumig that Oxygen combined with copper, find the formula of copper oxide.

Cu : O

 

…………

 

…./64  : ……/  16

 

4.0

A compound has 54.05% of Calcium, and 43.24% Oxygen. Assuming the rest is Hydrogen Find the formula of the compound.

Ca: O: H

 

………….

…../.: …./ …. : …/ ….

 

 

5.0

By the reduction of 2.39g of Lead oxide, 2.07g of Lead was recovered.

Find the probable formula of lead oxide.

Pb : O

 

 

Answers:1. HgO,    2. H1O1, (There is no compound like this. This compound really is H2O2,)    3. Cu2O,   4.  Ca O2H2  (This really is Ca(OH)2 ,    5.  PbO

 

 

 

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