The final volume of the gas is 3.8L.
What is volume?
Volume is the quantity of space occupied by a liquid, solid, or gas.
Using Avogadro's law.
Avogadro's Law:
- According to Avogadro's law an equal volumes of all gases, at the same temperature and pressure, have the same number of molecules.
- For a given mass of an ideal gas, the volume and amount (moles) of the gas are directly proportional if the temperature and pressure are constant.
V₁/n₁=V₂/n₂
Where V₁ = initial volume
V₂ = final volume
n₁ = initial amount of gas in moles
n₂ = final amount of gas in moles
Avogadro's Law explains when the temperature and pressure are kept constant, volume is directly proportional to gas amount in moles, which means when the volume increases, the amount of gas also increases.
V ∝ n
V₁/n₁ = V₂/n₂
V₁ = 2.5L, V₂ = ?, n₁ = 0.30 mol, n₂ = 0.45 mol
substituting the above values in the equation,
2.5L/0.30 mol = V₂/0.45 mol
V₂ = 1.125/0.30 mol
V₂ = 3.8L
Hence, 3.8L is the final volume of the gas.
To learn more about Avogadro's law here
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