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.
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.
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