Under pressure of 862kPa, a gas has a volume of 752ml. The pressure is increased, without changing the temperature, until the volume is 624ml. What is the new pressure
To find the new pressure, we can use Boyle's law, which states that the pressure and volume of a gas are inversely proportional at constant temperature. Boyle's law can be mathematically expressed as:
P1 * V1 = P2 * V2
where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.
Given:
Initial pressure, P1 = 862 kPa
Initial volume, V1 = 752 ml
Final volume, V2 = 624 ml
Now, we can plug in the known values into the equation and solve for P2:
P1 * V1 = P2 * V2
862 kPa * 752 ml = P2 * 624 ml
Simplifying the equation:
P2 = (862 kPa * 752 ml) / 624 ml
P2 = 1032672 kPa · ml / 624 ml
P2 = 1653 kPa
Therefore, the new pressure is 1653 kPa.
p₁V₁=p₂V₂
p₂=p₁V₁/V₂