# Gas is placed into a syringe until the pressure is 45.5 KPa. What is the new pressure if: A)the volume in the syringe is doubled?B)the volume in the syringe is tripled?c)the volume is one third its...

Gas is placed into a syringe until the pressure is 45.5 KPa. What is the new pressure if:

A)the volume in the syringe is doubled?

B)the volume in the syringe is tripled?

c)the volume is one third its original volume?

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### 1 Answer

Pressure and Volume are related by the formula:

P1V1 = P2V2

which means the first system of pressure and volume (P1V1) is equal to the second system of pressure and volume (P2V2). Since no volume measurement is given, we can make one up! Let's say P1 = 1 ml. So the first system (P1V1) would look like:

(45.5 Kpa)(1 ml)

if the volume of the first system (V1) is doubled, then V2 = 2 ml. So now we have:

(45.5 Kpa)(1ml) = V2 (2 ml)

Solving for V2 will be found to equal 22.75 Kpa.So if the volume doubles, the pressure is halved.

Use this Pressure - Volume formula to solve the other problems.