Question

5.00 L of a gas is known to contain 0.965 mol. If the amount of gas is increased to 1.80 mol, what new volume will result ( at an unchanged temperature and pressure) ?
SHOW YOUR SOLUTION.

Answer 1

At an unchanged temperature and pressure, if the amount of gas increased by the given value, the final or new volume of the gas is 9.33L

Avogadro's law

Avogadro's law states that equal volumes of different gases contain an equal number of molecules provided temperature and pressure remains in the same conditions. It is expressed;

V₁/n₁ = V₂/n₂

Given the data in the question;

• Initial volume; V₁ = 5.0L

• Initial amount of gas; n₁ = 0.965mol

• Final amount of gas; n₂ = 1.80mol

• Final volume; V₂ = ?

To determine the new volume, we substitute our given values into the expression above.

V₁/n₁ = V₂/n₂

V₁n₂ = V₂n₁

V₂ = V₁n₂/n₁

$V_2 = \frac{5.00L * 1.80mol}{0.965mol}\\\\V_2 = \frac{5.00L * 1.80}{0.965}\\\\V_2 = \frac{9L}{0.965} \\\\V_2 = 9.22L$

Therefore, at an unchanged temperature and pressure, if the amount of gas increased by the given value, the final or new volume of the gas is 9.33L

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