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 758.3 torr when the container has a volume of 50.7 mL, what is the pressure of the gas when the piston is moved so that the volume of the container becomes 131.3 mL? Round your answer to the nearest 0.01 and include units!

Answer 1

The final pressure of the sample is 292.81 torr.

Step-by-step explanation:

The given information from the exercise is:

- Initial pressure (P1): 758.3torr

- Initial volume (V1): 50.7mL

- Final volume (V2): 131.3mL

We can clculate the final pressure (V2) of the neon sample, using the Boyle's law formula:

`\begin{gathered} P_1*V_1=P_2*V_2 \\ 758.3torr*50.7mL=P_2*131.3mL \\ 38,445.81torr*mL=P_2*131.3mL \\ (38,445.81torr*mL)/(131.3mL)=P_2 \\ 292.81torr=P_2 \end{gathered}`

So, the final pressure of the sample is 292.81 torr.