Ideal gas law

A sample of

H_{2} (g)

is contained in a cylinder with a moveable piston at an initial pressure of

P_{1}

. The volume of the sample is increased from

3.0 L

6.0 L

while the temperature is held constant, as shown in the diagram below.

What is the final pressure in the cylinder?

The AP Chemistry exam includes a section of equations and constants that you can reference during the exam. A subset of this reference is shown below.

Gas equations:

\begin{aligned} P V & = n R T \\ P_{1} & = P_{total} \times χ_{1}, where χ_{1} = \frac{moles of gas 1}{total moles} \\ P_{total} & = P_{1} + P_{2} + P_{3} + . . . \\ K & = ° C + 273 \end{aligned}

Gas variables and constants:

\begin{aligned} P & = pressure \\ V & = volume \\ T & = temperature \\ n & = number of moles \\ R & = 8.314 J {mol}^{- 1} K^{- 1} \\ = 0.082 06 L atm {mol}^{- 1} K^{- 1} \\ = 62.36 L Torr {mol}^{- 1} K^{- 1} \end{aligned}

AP®︎/College Chemistry

Course: AP®︎/College Chemistry > Unit 3

Problem