Answer:
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.