what is the pressure of the gas?

Question

A student is studying a sample of neon in a container with a moveable piston (this means the container can change in size). If the sample in the container is initially at a pressure of 765.6 torr when the container has a volume of 56.9 mL, what is the pressure of the gas when the piston is moved so that the volume of the container becomes 112.6 mL? Round your answer to the nearest 0.01 and include units!

Answer 1

This question requires that you use the law which relates pressure and volume which is known as Boyle's Law. It is formulated P1V1=P2V2. Those variables are as follows:

P1=initial pressure which is given in the question as 765.6 torr

V1=initial volume which is given in the question as 56.9 mL

P2= final pressure which is what the question asks you to find

V2=final volume which is given in the question as 112.6 mL

Plugging those variables into the equation gives (765.6)(56.9)=P2(112.6). Solving for the unknown variable algebraically gives P2=(765.6)(56.9)/(112.6)=386.88 torr