For the reaction #2H_2 + O_2 -> 2H_2O#, how many moles of water can be produced from 6.0 mol of oxygen?
Your tools of choice for stoichiometry problems will always be the mole ratios that exist between the chemical species that take part in the reaction.
As you know, the stoichiometric coefficients attributed to each compound in the balanced chemical equation can be thought of as moles of reactants needed or moles of products formed in the reaction.
In your case, the balanced chemical equation for this synthesis reaction looks like this
#2"H"_text(2(g]) + "O"_text(2(g]) -> color(red)(2)"H"_2"O"_text((l]])#
Notice that the reaction requires
This tells you that the reaction produces twice as many moles of water as you have moles of oxygen gas that take part in the reaction.
You know that your reaction uses
#6.0 color(red)(cancel(color(black)("moles O"_2))) * (color(red)(2)" moles H"_2"O")/(1color(red)(cancel(color(black)("moles O"_2)))) = color(green)("12 moles H"_2"O")#
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According to the balanced chemical equation, 1 mole of oxygen (O₂) reacts with 2 moles of hydrogen (H₂) to produce 2 moles of water (H₂O). Therefore, if you have 6.0 moles of oxygen, you can produce:
(6.0 \text{ moles O}_2 \times \frac{2 \text{ moles H}_2\text{O}}{1 \text{ mole O}_2} = 12.0 \text{ moles H}_2\text{O})
So, 12.0 moles of water can be produced from 6.0 moles of oxygen.
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For the reaction (2H_2 + O_2 \rightarrow 2H_2O), the stoichiometric ratio between oxygen ((O_2)) and water ((H_2O)) is 1:2. Therefore, if 6.0 moles of oxygen are consumed, the same number of moles of water will be produced. Thus, 6.0 moles of oxygen will produce 12.0 moles of water.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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