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Based on this reaction, how many moles of H2 can be obtained starting with 3 mol CH4?

Sagot :

Answer:

9 moles of H₂ are produced

Explanation:

Note: The question is incomplete. the complete question and the given image is found below:

The diagram represents a high-temperature reaction between CH4 and H2O. Based on this reaction, how many moles of H2 can be obtained starting with 3 mol CH4?

From the attachment, the equation of the reaction can be written as:

2CH₄ + 2H₂O ----> 2CO + 6H₂

From the equation the reaction shown above, 2 moles of methane, CH₄ reacts with 2 moles of gaseous water or steam, H₂O (since the reaction occurs at a high temperature) to produce six moles of hydrogen gas, H₂.

Therefore, starting with 3 moles of CH₄ and assuming the number of H₂O are equal to or greater than three moles (since the mole ratio of CH₄ to H₂O is 1 : 1 according to the equation of the reaction), number of moles of H₂ that will be produced = 3 * 6/2 moles of H₂

number of moles of H₂ produced = 9 moles

Therefore, 9 moles of H₂ are produced

View image mickymike92

Considering the reaction stoichiometry, 9 moles of H₂ can be obtained starting with 3 moles of CH₄.

The balanced reaction is:

CH₄ + H₂O → CO + 3 H₂

Reaction stoichiometry

By reaction stoichiometry (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of moles of each compound participate in the reaction:

  • CH₄: 1 mole
  • H₂O: 1 mole
  • CO: 1 mole
  • H₂: 3 moles

Amount of moles of H₂ obtained

Then you can apply the following rule of three: if by stoichiometry 1 mole of CH₄ produce 3 mole of H₂, 3 moles of CH₄ will produce how many moles of H₂?

[tex]amount of moles of CH_{4} =\frac{3 moles of CH_{4}x3 moles of H_{2} }{1 mole of CH_{4}} [/tex]

amount of moles of H₂= 9 moles

Finally, 9 moles of H₂ can be obtained starting with 3 moles of CH₄.

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