Question

Which law states that the volume of a gas is proportional to the moles of the gas when pressure and temperature are kept constant

Answer 1

Answer:

• The law that states that the volume of a gas is proportional to the moles of the gas when pressure and temperature are kept constant is Avogadro's law.

Explanation:

Pressure, temperature, volume, and amount of gases are related.

There are four basic gas laws: Boyle's law, Charles' law, Gay-Lussac's law and Avogadro's law.

The combination of the first three above mentioned laws gives rise to the combined law of gases. When Avogadro's law is incorporated, ideal gas equation is obtained.

These are the laws:

1) Boyle's law: at constant temperature, the pressure are volume of the a fiexed amount of gases are inversely related:

• PV = constant

• P₁V₁ = P₂V₂

2) Charle's law: at constant pressure, the volume and temperarure of a fixed amount of gases are directly (proportionaly) related:

• P/T = constant

• P₁ / T₁ = P₂ / T₂

3) Gay-Lussac's law: if the volume of a fixed amount of gas is kept constante, the pressure and temperature are directly related:

• P / T = constant

• P₁ / T₁ = P₂ / T₂

4) Combined law: shows the relation between pressure, volume, and temperature for a fixed amount of gas:

• PV / T = constant

• P₁V₁ / T₁ = P₂V₂ / T₂

In all previous law the numerical value of the temperature must be expressed in absolute scale: kelvin.

5) Avogadro's law: equal volume of gases at the same temperature and pressure contain the same number of particles (atoms or molecules).

Using n for the number of moles of gas particles:

• V/n = constant

• V₁ / n₁ = V₂ / T₂

• 1 mol of gas at T = 0°C (273.15 K) and P = 1 atm occupies aproximately 22.4 liter.

6) Ideal gas law:

• PV / nT = constant

• R = Universal constant of gases

• PV / nT = R

• PV = nRT

• T expressed in absolute scale (Kelvin)