Select the correct answer. Balance the following equation and determine the mole ratio of [tex]$Cl _2$[/tex] to [tex]$CCl _4$[/tex]. [tex]$CS _2+ Cl _2 \rightarrow CCl _4+ S _2 Cl _2$[/tex] A. 1.1 B. [tex]$2: 4$[/tex] C. [tex]$1: 2$[/tex] D. 3:1 E. [tex]$1: 3$[/tex]
Answer (2)
Balance the chemical equation: C S 2 + 3 C l 2 → CC l 4 + S 2 C l 2 .
Observe the coefficients of C l 2 and CC l 4 in the balanced equation.
Determine the mole ratio of C l 2 to CC l 4 based on their coefficients.
State the final mole ratio: 3 : 1 .
Explanation
Analyzing the Problem The problem requires us to balance a chemical equation and then determine the mole ratio between two of the compounds in the balanced equation. The unbalanced equation is:
C S 2 + C l 2 → CC l 4 + S 2 C l 2
We need to find the correct coefficients for each compound so that the number of atoms of each element is the same on both sides of the equation.
Balancing the Equation Let's balance the equation step by step:
Carbon (C): There is 1 carbon atom on both sides, so carbon is already balanced.
Sulfur (S): There are 2 sulfur atoms on both sides, so sulfur is also balanced.
Chlorine (Cl): There are 2 chlorine atoms on the left side ( C l 2 ) and 6 chlorine atoms on the right side (4 in CC l 4 and 2 in S 2 C l 2 ). To balance chlorine, we need to adjust the coefficient of C l 2 on the left side.
To get 6 chlorine atoms on the left side, we need to multiply C l 2 by 3. So, the balanced equation becomes:
C S 2 + 3 C l 2 → CC l 4 + S 2 C l 2
Determining the Mole Ratio Now that we have the balanced equation:
C S 2 + 3 C l 2 → CC l 4 + S 2 C l 2
We can determine the mole ratio of C l 2 to CC l 4 . From the balanced equation, we see that 3 moles of C l 2 react to produce 1 mole of CC l 4 . Therefore, the mole ratio of C l 2 to CC l 4 is 3:1.
Final Answer The mole ratio of C l 2 to CC l 4 is 3:1. Therefore, the correct answer is D.
Examples
In chemical manufacturing, balancing equations and understanding mole ratios is crucial for determining the amount of reactants needed to produce a desired amount of product. For example, if a company wants to produce a certain amount of carbon tetrachloride ( CC l 4 ), knowing the mole ratio with chlorine ( C l 2 ) helps them calculate exactly how much chlorine gas they need to react with carbon disulfide ( C S 2 ). This ensures efficient use of resources and minimizes waste, leading to cost savings and environmental benefits. The balanced equation C S 2 + 3 C l 2 → CC l 4 + S 2 C l 2 provides the quantitative relationship needed for these calculations.
The balanced equation for the reaction is C S 2 + 3 C l 2 → CC l 4 + S 2 C l 2 . The mole ratio of chlorinated compounds is determined to be 3 : 1 , meaning 3 moles of C l 2 are needed for every mole of CC l 4 . Thus, the correct answer is D .
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