The volume of a fixed mass of a gas in a cylinder at constant temperature is 300cm,when the pressure is 900mmHg.calculate the new volume when the pressure is 600mmHg.
since PV is constant under these conditions,
(300)(900) = 600V
The volume of a fixed mass of gas is 300cm at 30c calculate temperature when the the volume is reduced to half its original at The same pressure. Solution
To calculate the new volume when the pressure changes, we can use Boyle's Law, which states that the volume of a fixed amount of gas at a constant temperature is inversely proportional to its pressure.
Boyle's Law equation can be written as:
P₁ * V₁ = P₂ * V₂
Where:
P₁ = Initial pressure
V₁ = Initial volume
P₂ = Final pressure
V₂ = Final volume
We are given:
P₁ = 900 mmHg
V₁ = 300 cm³
P₂ = 600 mmHg
Let's plug in the given values into the equation and solve for V₂:
900 mmHg * 300 cm³ = 600 mmHg * V₂
Next, we can rearrange the equation to solve for V₂:
V₂ = (900 mmHg * 300 cm³) / 600 mmHg
Now, let's perform the calculations:
V₂ = (900 * 300) / 600
V₂ = 270000 / 600
V₂ = 450 cm³
Therefore, the new volume when the pressure is 600 mmHg is 450 cm³.