Sure, let's go through each part of the question step by step.
### Part 1.1: Moles of H₂O Produced from 6 Moles of O₂
Question:
How many moles of H₂O will be produced from 6 moles of O₂?
Solution:
The balanced chemical equation for the reaction between hydrogen and oxygen to form water is:
[tex]\[ 2H_2 + O_2 \rightarrow 2H_2O \][/tex]
According to this equation, 1 mole of O₂ produces 2 moles of H₂O. Therefore, if we have 6 moles of O₂, the number of moles of H₂O produced can be calculated as follows:
[tex]\[ \text{Moles of } H_2O = 6 \text{ moles of } O_2 \times 2 = 12 \text{ moles of } H_2O \][/tex]
So, 12 moles of H₂O will be produced from 6 moles of O₂.
### Part 1.2: Moles of H₂ Required to React with 40 g of O₂
Question:
How many moles of H₂ will react with 40 g of O₂?
Solution:
First, we need to find out how many moles of O₂ are present in 40 g. The molar mass of O₂ is 32 g/mol.
[tex]\[ \text{Moles of } O_2 = \frac{\text{Mass of } O_2}{\text{Molar mass of } O_2} = \frac{40 \text{ g}}{32 \text{ g/mol}} = 1.25 \text{ moles} \][/tex]
According to the balanced chemical equation, 1 mole of O₂ reacts with 2 moles of H₂. Therefore, we can calculate the moles of H₂ required as follows:
[tex]\[ \text{Moles of } H_2 = 1.25 \text{ moles of } O_2 \times 2 = 2.5 \text{ moles of } H_2 \][/tex]
So, 2.5 moles of H₂ will react with 40 g of O₂.
### Part 1.3: Grams of H₂O Produced by 18 g of H₂
Question:
How many grams of H₂O will be produced by 18 g of H₂?
Solution:
First, we need to determine the number of moles of H₂ in 18 g. The molar mass of H₂ is 2 g/mol.
[tex]\[ \text{Moles of } H_2 = \frac{\text{Mass of } H_2}{\text{Molar mass of } H_2} = \frac{18 \text{ g}}{2 \text{ g/mol}} = 9 \text{ moles} \][/tex]
From the balanced chemical equation, 2 moles of H₂ produce 2 moles of H₂O. Therefore, 9 moles of H₂ will produce 9 moles of H₂O.
Next, we need to convert the moles of H₂O to grams. The molar mass of H₂O is 18 g/mol.
[tex]\[ \text{Mass of } H_2O = \text{Moles of } H_2O \times \text{Molar mass of } H_2O = 9 \text{ moles} \times 18 \text{ g/mol} = 162 \text{ g} \][/tex]
So, 162 grams of H₂O will be produced by 18 grams of H₂.
