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Application of Gay-Lussac’s Law of Combining Volumes

Gay Lussac’s of combining volumes states that gases react in simple ratio with one another and to volumes of the products provided that temperature and pressure remain constant. In this article, you will understand how to apply this law in calculation by studying the following examples below: 1.     2H 2 + O 2 → H 2 O In the reaction above, what volume of hydrogen would be left over when 300cm 3 of oxygen and hydrogen are exploded in a sealed tube?   1cm 3 of oxygen = 2cm 3 of hydrogen 300cm 3 of oxygen = 2 x 300 = 600cm 3 Volume of left over = 1000 – 600 = 400cm 3 2.     Calculate the volume of carbon (II) oxide required to react with 40cm 3 of oxygen. 2CO + O 2 → 2CO 2 1cm 3 of oxygen = 2cm 3 of CO 40cm 3 of oxygen = 2 x 40 = 80cm 3 3.     Calculate the volume of residual gases that would be produced when 100cm 3 of sulphur (IV) oxide reacts with 20cm 3 of oxygen    2SO 2 + O 2 → 2SO 3 1cm 3 of O 2 = 2cm 3 20cm 3 of O 2 = 2 x 20 = 40cm 3

Quantitative Analysis

 

Quantitative analysis deals with the determination of the amount of each component in a sample of matter. It is divided into two which include:

a.   Gravimetric analysis

b.   Volumetric analysis

Gravimetric analysis: is interested in the measurement of mass of the substances.

Volumetric analysis: is interested in the measurement of the volume of solutions.

  Titration is the method used in volumetric analysis. This is done by careful addition of standard solution from a graduated container until the reaction is complete. A complete reaction is indicated by a colour change in the resulting solution.

Some apparatus used for volumetric analysis

These are burette, pipette, conical flask, beaker, funnel, wash bottle and volumetric flask.

Standard solution is a solution of a known concentration.

Basic Principles of Volumetric Analysis  

Test substance or analyte, is normally a base in acid-base titration, is pipetted into the conical flask. The burette contains a standard solution of the acid in acid-base titration, which is usually called titrant. The requirements of a titration are as follows:

1.    There must be a well-defined reaction between the analyte and titrant. For example reaction of hydrochloric acid and sodium hydroxide . NaOH + HCl …….. NaCl + H2O

2.    The reaction must be fast

3.    The reaction must not have side reaction

4.    The reaction must be specific

5.    There must be specific change in some properties of the solution at the end of the reaction

6.    The end-point is the point at which the reaction is considered to be complete and it is detected by colour change or change in the property of the solution.

Example Question

A is a solution of hydrochloric acid. B is a solution containing 6.0g of sodium hydroxide in 1dm3 of solution.

a.   Put A in the burette and titrate with 20cm3 or 25cm3 portions of B using methyl orange as indicator. Record the volume of your pipette. Tabulate your readings and calculate the average volume of a used.

b.   From your results and information provided, calculate the

i)                   Concentration of B in mol/dm3

ii)                 Concentration of A in mol/dm3

iii)               Amount of A which reacted with 25cm3 of B

Equation for the reaction

NaOH(aq) + HCl(aq) ………. NaCl(aq)+ H2O(l)

Answer

Volume of pipette used = 25cm3

Indicator used = methyl orange

Burette redings

Rough

First

Second

Third

Final reading (cm3)

24.50

22.10

22.10

22.20

Initial reading (cm3)

0.00

0.00

0.00

0.00

Volume of A used

24.50

22.10

22.10

22.20

 

Average volume of A used = 22.10 + 22.10+ 22.20/3

= 22.13 cm3

i)                   Concentration of B in mol/dm3

40g of NaOH   = 1mol/dm3

6.0g of NaOH = 1/40 x 6 = 0.15 mol/dm3

ii) Concentration of A in mol/dm3

CAVA/CBVB = a/b

CA =?

VA = 22.13 cm3

a= 1

CB = 0.15 cm3

VB = 25 cm3

b=1

CA x 22.13\ 0.15 x 25 = 1\1

CA = 0.15 x 25 x 1\22.13 x 1  = 0.17 mol/dm3

iii)  Amount of A which reacted with 25 cm3 of B

1000 cm3 of A contains = 0.17 moles

22.13 cm3 will be = 0.17\1000 x 22.13

                        =      3.7621\1000

                        =      0.00376 moles

 

 

 

 

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Application of Gay-Lussac’s Law of Combining Volumes

Gay Lussac’s of combining volumes states that gases react in simple ratio with one another and to volumes of the products provided that temperature and pressure remain constant. In this article, you will understand how to apply this law in calculation by studying the following examples below: 1.     2H 2 + O 2 → H 2 O In the reaction above, what volume of hydrogen would be left over when 300cm 3 of oxygen and hydrogen are exploded in a sealed tube?   1cm 3 of oxygen = 2cm 3 of hydrogen 300cm 3 of oxygen = 2 x 300 = 600cm 3 Volume of left over = 1000 – 600 = 400cm 3 2.     Calculate the volume of carbon (II) oxide required to react with 40cm 3 of oxygen. 2CO + O 2 → 2CO 2 1cm 3 of oxygen = 2cm 3 of CO 40cm 3 of oxygen = 2 x 40 = 80cm 3 3.     Calculate the volume of residual gases that would be produced when 100cm 3 of sulphur (IV) oxide reacts with 20cm 3 of oxygen    2SO 2 + O 2 → 2SO 3 1cm 3 of O 2 = 2cm 3 20cm 3 of O 2 = 2 x 20 = 40cm 3

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