The pressure of a fixed mass of gas is given as 850cm Hg when its volume is 20cm3. Calculate volume of the gas when its pressure is 600cmHg.
To solve this problem, we can use Boyle's law, which states that the pressure and volume of a gas are inversely proportional at constant temperature. Mathematically, Boyle's law can be expressed as P₁V₁ = P₂V₂, where P₁ and V₁ are the initial pressure and volume, respectively, and P₂ and V₂ are the final pressure and volume, respectively.
Given:
P₁ = 850 cm Hg
V₁ = 20 cm³
P₂ = 600 cm Hg
V₂ = ?
Using Boyle's law, we can set up the equation:
P₁V₁ = P₂V₂
Solving for V₂:
V₂ = (P₁V₁) / P₂
Substituting the given values:
V₂ = (850 cm Hg * 20 cm³) / 600 cm Hg
V₂ = (17000 cm³) / 600 cm Hg
V₂ ≈ 28.333 cm³
Therefore, the volume of the gas when its pressure is 600 cm Hg is approximately 28.333 cm³.