How many moles of carbon dioxide are needed to react with the lithium hydroxide in the given reaction?
Understand the Problem
The question is asking for the number of moles of carbon dioxide required to react with lithium hydroxide in a specific chemical reaction. To solve this, we need to refer to the stoichiometry of the reaction between lithium hydroxide and carbon dioxide to determine the correct mole ratio.
Answer
For every 2 moles of lithium hydroxide, 1 mole of carbon dioxide is required. Thus, to find the moles of CO₂ needed, divide the moles of LiOH by 2.
Answer for screen readers
The number of moles of carbon dioxide required can be calculated using the ratio from the balanced chemical equation.
Steps to Solve
- Identify the Chemical Reaction
The balanced chemical equation for the reaction between lithium hydroxide (LiOH) and carbon dioxide (CO₂) is:
$$ 2 , \text{LiOH} + \text{CO}_2 \rightarrow \text{Li}_2\text{CO}_3 + \text{H}_2\text{O} $$
This equation shows that 2 moles of lithium hydroxide react with 1 mole of carbon dioxide.
- Determine the Mole Ratio
From the balanced equation, we can see that the mole ratio of LiOH to CO₂ is:
$$ \text{Ratio} = \frac{2 , \text{moles LiOH}}{1 , \text{mole CO}_2} $$
This means for every 2 moles of lithium hydroxide, we need 1 mole of carbon dioxide.
- Calculate Minimal Required Volume or Moles
If you have a specific number of moles or volume of lithium hydroxide, you divide that number by 2 to find out how many moles of carbon dioxide are required. For example, if you have 4 moles of LiOH:
$$ \text{Moles of CO}_2 = \frac{4 , \text{moles LiOH}}{2} = 2 , \text{moles CO}_2 $$
- Check your Result
Make sure your calculated moles of CO₂ are consistent with the ratio from the balanced equation.
The number of moles of carbon dioxide required can be calculated using the ratio from the balanced chemical equation.
More Information
In a typical stoichiometric calculation, understanding the mole ratio is crucial. This example is frequently used in chemistry to illustrate the principle of conservation of mass as it applies to reactants and products in chemical reactions.
Tips
- Ignoring Mole Ratios: A common mistake is to overlook the ratio from the balanced chemical equation, which could lead to incorrect calculations of required moles.
- Incorrectly Balancing the Reaction: Make sure the balanced equation accurately reflects the reaction; any imbalance will yield incorrect results.
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