What are the weight laws?

weight laws they are generalizations about the masses of all participants (reagents and products) in a chemical reaction. Generically, a chemical reaction can be represented as follows:

A + B C + D

Lavoisier's Law (Law of conservation of mass)

According to Lavoisier, when a chemical reaction is carried out in a closed environment, the sum of the masses of the reactants is always equal to the sum of the masses of the products.

Sum of reagent masses = Sum of product masses

Thus, according to Lavoisier, if a generic reaction (reagents A and B, products C and D) is carried out in a closed container, using 5 grams of A and 10 grams of B, we can say that the mass of product C is 15 grams.

A + B → C
 5g 10g x 

Since the sum of the masses of the reactants is equal to the sum of the masses of the products:

5 + 10 = x

15 grams = x

or

x = 15 g

Proust's Law (Law of defined proportions)

According to Proust, participants in a chemical reaction always establish a constant mass ratio. When we decompose water by electrolysis, for example, we get hydrogen gas and gas oxygen:

2h2O → 2H2 + O2

Whenever this is done, it is verified that the proportion between the masses of hydrogen and oxygen gases obtained is always 1 to 8, regardless of the mass of water used in the electrolysis. Thus:

  • Electrolysis of 4.5 grams of water

2h2O → 2H2 + O2
 4.5g 0.5g 4g

If we divide the masses of H2 it's the2 formed, we will have the ratio 1 to 8:

 0,5 = 1
4 8 

  • Electrolysis of 9 grams of water

2h2O → 2H2 + O2
9g 1g 8g

If we divide the masses of H2 it's the2 formed, we will have the ratio 1 to 8:

1
8

Another interesting fact observed by Proust is that if we divide the masses of H2O, H2 it's the2 of the two examples above, we will have the same proportion:

2h2O → 2H2 + O2
 4.5g 0.5g 4g
9g 1g 8g 

I.e:

1 = 1 = 1
2 2 2

Therefore, according to Proust's law, for a generic reaction, using different masses of substances involved in it, at different times, we can use the following expression in relation to the masses of participants:

A + B → C
1st experience bad = MB = mC
2nd experiment mA’ = mB’ = mC’

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→ Dalton's Law (Law of Multiple Proportions)

According to John Dalton, when a fixed mass of a substance A combines with different masses of a substance B, giving rise to different substances, the masses of B have a relationship expressed by whole numbers and small.

When we react carbon with oxygen, for example, we can form carbon dioxide or carbon monoxide, as in the following two cases:

Carbon + oxygen → carbon dioxide
12g 16g 28g

Carbon + oxygen → carbon dioxide
12g 32g 44g

In both reactions we have the same mass of reagent A. So, if we divide the masses of oxygen, which is substance B that appears in both reactions, we will see a relationship between whole and small numbers:

16 = 1
32 2

→ Application of weight laws:

1º)It is known that Hydrogen gas reacts with Oxygen gas in a 1:8 ratio, by mass, to form water. Knowing this fact, determine the values ​​of the masses X, Y and Z in the following table, respectively:

a) 36 g, 44 g and 51.8 g

b) 33.6 g, 2.4 g and 52 g

c) 32 g, 44 g and 51 g

d) 36 g, 48 g and 52 g

e) 37 g, 44.8 g and 51.8 g

To resolve the issue, just do the following:

1O Step: Mass X can be found by Lavoisier's Law, as it is the only known mass in the second experiment, thus:

Sum of reagent masses = Sum of product masses

5 + 32 = X

37 = X

X = 37 grams

2O Step: To find the value of mass Z, we can use Proust's law, because, in a reaction that is performed more than once, the masses follow a proportion according to the scheme below:

bad = MB  = mC
mA’ mB’ mC’

Thus, to find the Z mass, we can use participants A (Hydrogen) and B (Oxygen):

bad = MB
 mA’ mB’

5 = 32
7 Z

5.Z = 7.32

Z = 224
5

Z = 44.8 grams

3O Step: Mass y can be found by Lavoisier's Law, like this:

Sum of reagent masses = Sum of product masses

7 + 44.8 = Y

51.8 = Y

Y = 51.8 grams


By Me. Diogo Lopes Dias

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