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A balloon contains 0.158 mol of gas and has a volume of 2.46 l. if an additional 0.113 mol of gas is added to the balloon (at the same temperature and pressure), what is its final volume?

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Dejanras

Answer is: final volume is 4.21 liters.

Use Avogadro's Law (the Volume Amount Law): If the amount of gas in a container is increased, the volume increases.

The volume-amount fraction will always be the same value if the pressure and temperature remain constant.

V₁ / n₁ = V₂ / n₂.

2.46 l / 0.158 mol =  V₂ / 0.271 mol.

V₂ = 4.21 l.

Lanuel

By applying Avogadro's Law, the final volume of the gas is equal to 1.76 Liters.

Given the following data:

  • Initial volume = 2.46 L
  • Initial number of moles = 0.158 mol
  • Final number of moles = 0.113 mol

To find the final volume of the gas, we would apply Avogadro's Law:

Mathematically, Avogadro's Law is given by the formula:

[tex]\frac{V}{n} =k\\\\\frac{V_1}{n_1} = \frac{V_2}{n_2}[/tex]

Where:

  • V is the volume of a gas.
  • n is the number of moles of a gas.

Substituting the given parameters into the formula, we have;

[tex]\frac{2.46}{0.158} =\frac{V_2}{0.113} \\\\2.46 \times 0.113 = 0.158V_2\\\\0.27798 = 0.158V_2\\\\V_2 =\frac{0.27798}{0.158}[/tex]

Final volume = 1.76 Liters.

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