A quantity of gas under a pressure of 302 kPa has a volume of 600. cm3. The pressure is increased to 545 kPa, while the temperature is kept constant. What is the new volume?

P1V1 = P2V2

To find the new volume of the gas, we can use the relationship known as Boyle's law. Boyle's law states that the pressure and volume of a gas are inversely proportional when the temperature is kept constant. Mathematically, this law can be expressed as:

P₁ * V₁ = P₂ * V₂

Where:
P₁ = initial pressure (302 kPa)
V₁ = initial volume (600 cm³)
P₂ = new pressure (545 kPa)
V₂ = new volume (unknown)

We can rearrange the equation to solve for V₂:

V₂ = (P₁ * V₁) / P₂

Substituting the given values, we have:

V₂ = (302 kPa * 600 cm³) / 545 kPa

Now, we can calculate the new volume:

V₂ = (181,200 kPa·cm³) / 545 kPa
V₂ ≈ 332.8 cm³

Therefore, the new volume of the gas is approximately 332.8 cm³ when the pressure is increased to 545 kPa, while the temperature is kept constant.