Answer:
The new pressure will be (P/3) units.
Step-by-step explanation:
The law that describes the relationship between the pressure and volume of a gas is Boyle’s law. It states that the pressure and volume of a gas have an inverse relationship when the temperature is held constant. Therefore, when the volume of a gas decreases, the pressure increases and vice versa .
Using Boyle’s law, we can calculate the new pressure of the gas. If the initial volume of the gas is 5L and it changes to 3L, then we can say that the volume has decreased by 5/3 times. Therefore, using Boyle’s law, we can say that the pressure has increased by 3/5 times.
The formula for Boyle’s law is P1V1 = P2V2 where P1 and V1 are the initial pressure and volume respectively and P2 and V2 are the final pressure and volume respectively. We can rearrange this formula to find P2 which is what we are looking for.
P2 = (P1V1)/V2
Substituting P1 = initial pressure = P (say), V1 = initial volume = 5L, V2 = final volume = 3L
P2 = (PV)/3
Therefore, the new pressure will be (P/3) units.