Let's start by looking at the given balanced chemical equation:
[tex]\[ \text{PCl}_3 + \text{Cl}_2 \rightarrow \text{PCl}_5 \][/tex]
In this chemical equation, the coefficients in front of each compound indicate the number of moles of each substance involved in the reaction. Here are the coefficients in the balanced equation:
- 1 mole of [tex]\( \text{PCl}_3 \)[/tex]
- 1 mole of [tex]\( \text{Cl}_2 \)[/tex]
- 1 mole of [tex]\( \text{PCl}_5 \)[/tex]
Now, the question is asking for the mole ratio of [tex]\( \text{PCl}_3 \)[/tex] to [tex]\( \text{PCl}_5 \)[/tex].
To determine the mole ratio, we consider the coefficients of [tex]\( \text{PCl}_3 \)[/tex] and [tex]\( \text{PCl}_5 \)[/tex] from the balanced equation:
- The coefficient of [tex]\( \text{PCl}_3 \)[/tex] is 1.
- The coefficient of [tex]\( \text{PCl}_5 \)[/tex] is also 1.
The mole ratio is obtained by dividing the coefficient of [tex]\( \text{PCl}_3 \)[/tex] by the coefficient of [tex]\( \text{PCl}_5 \)[/tex]:
[tex]\[ \text{Mole ratio} = \frac{\text{Coefficient of } \text{PCl}_3}{\text{Coefficient of } \text{PCl}_5} = \frac{1}{1} = 1.0 \][/tex]
Therefore, the mole ratio of [tex]\( \text{PCl}_3 \)[/tex] to [tex]\( \text{PCl}_5 \)[/tex] is 1:1.
Among the options provided:
- 1:1
- 2:1
- 3:5
- 5:3
The correct answer is:
[tex]\[ \boxed{1:1} \][/tex]
