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9.63×10²⁴ particles of H₂O

Explanation:

We'll begin by writing the balanced equation for the reaction. This is given below:

CH₄ + 2O₂ —> CO₂ + 2H₂O

From the balanced equation above,

1 mole of CH₄ reacted to produce 2 moles of H₂O.

Next, we shall determine the number of mole of H₂O produced by the reaction of 8 moles of CH₄. This can be obtained as follow:

From the balanced equation above,

1 mole of CH₄ reacted to produce 2 moles of H₂O.

Therefore, 8 moles of CH₄ will react to produce = 8 × 2 = 16 moles of H₂O.

Thus, 16 moles of H₂O were obtained from the reaction.

Finally, we shall determine the number of particles of H₂O produced. This can be obtained as follow:

Number of mole of H₂O produced = 16 moles

Number of particles produced =?

From Avogadro's hypothesis,

1 mole = 6.02×10²³ particles

Therefore,

16 mole = 16 mole × 6.02×10²³ particles / 1 mole

16 moles = 9.63×10²⁴ particles

Therefore, 9.63×10²⁴ particles of H₂O were produced.