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A flexible container at an initial volume of 6.13 L contains 2.51 mol of gas. More gas is then added to the container until it reaches a final volume of 11.3 L. Assuming the pressure and temperature of the gas remain constant, calculate the number of moles of gas added to the container.

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Answer:

2.12 moles of gas were added.

Explanation:

We can solve this problem by using Avogadro's law, which states that at constant temperature and pressure:

  • V₁n₂=V₂n₁

Where in this case:

  • V₁ = 6.13 L
  • n₂ = ?
  • V₂ = 11.3 L
  • n₁ = 2.51 mol

We input the data:

  • 6.13 L * n₂ = 11.3 L * 2.51 mol
  • n₂ = 4.63

As 4.63 moles is the final number of moles, the number of moles added is:

  • 4.63 - 2.51 = 2.12 moles

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