Answer:
6 moles of chlorine, Cl2, will react with 4.5 moles of carbon, C
Explanation:
The law of conservation of matter states that since no atom can be created or destroyed in a chemical reaction, the number of atoms that are present in the reagents has to be equal to the number of atoms present in the products.
So, first of all you should keep in mind that the reaction is balanced. For that, you must first look at the subscripts next to each atom to find the number of atoms in the equation. If the same atom appears in more than one molecule, you must add its amounts .
The coefficients located in front of each molecule indicate the amount of each molecule for the reaction. By multiplying the coefficient mentioned by the subscript, you get the amount of each element present in the reaction.
In this case:
Left side: 2 titanium (Ti), 4 (2*2) oxygen (O), 8 (4*2) chlorine (Cl) and 3 carbon (C)
Right side: 2 titanium (Ti), 4 (2+2) oxygen (O), 8 (2*4) chlorine (Cl) and 2 (1+2) carbon (C)
Since you have the same amount of each element on each side of the equation, the reaction is balanced.
The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three. Remember that proportionality is a constant relationship or ratio between different magnitudes.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:
a ⇒ b
c ⇒ x
Then
[tex]x=\frac{c*b}{a}[/tex]
The rule of three will be used to determine the amount of chlorine moles, Cl₂, which will react with 4.5 moles of carbon, C. For this, the stoichiometry of the reaction must be taken into account (that is, the relationship between the amount of reagents and products in a chemical reaction). Then, the rule of three is applied as follows: if by stoichiometry 3 moles of carbon C react with 4 moles of chlorine Cl₂, 4.5 moles of carbon C with how many moles of chlorine Cl₂ will they react?
So [tex]moles of chlorine=\frac{4.5 molesofC*4molesofCl2}{3molesofC}[/tex]
moles of chlorine= 6
Finally, 6 moles of chlorine, Cl2, will react with 4.5 moles of carbon, C
