Pressure of a sample of 45 L of gas is increased and the gas goes from 100 kPa to 125 kPa
And you want to know what? the volume?
P1V1 = P2V2
To calculate the change in pressure when a gas is compressed, you can use Boyle's Law. Boyle's Law states that the pressure and volume of a gas are inversely proportional when the temperature and the amount of gas remain constant.
The equation for Boyle's Law is:
P1 * V1 = P2 * V2
where P1 is the initial pressure, V1 is the initial volume, P2 is the final pressure, and V2 is the final volume.
In this case, you are given the initial pressure (P1 = 100 kPa), the final pressure (P2 = 125 kPa), and the initial volume (V1 = 45 L). Let's assume that the volume remains constant, so V2 will also be 45 L.
Substituting the values into the equation, we get:
100 kPa * 45 L = 125 kPa * 45 L
Next, we can solve for the final volume (V2):
125 kPa * 45 L = P2 * V2
Dividing both sides of the equation by P2:
V2 = (125 kPa * 45 L) / P2
Now, let's calculate the final volume (V2):
V2 = (125 kPa * 45 L) / 125 kPa
V2 = 45 L
Since the volume remains constant, the change in pressure when the gas is compressed from 100 kPa to 125 kPa is zero.
To calculate the change in pressure, ΔP, you subtract the initial pressure (P1) from the final pressure (P2). In this case, the initial pressure is 100 kPa and the final pressure is 125 kPa.
ΔP = P2 - P1
ΔP = 125 kPa - 100 kPa
ΔP = 25 kPa
Therefore, the change in pressure is 25 kPa.