Question

A sample of nitrogen gas has a volume of 15mL at a pressure of 0.50 atm. What is the pressure if the volume is changed to 30.0mL?

Answer 1

That sample of gas has a new pressure of `0.25 atm`

Explanation:

The answer can be determined by using Boyle's Law:

Let's identify our known and unknown variables.

`color(brown)("Knowns:"`
`P_1`= 0.50 atm
`V_1`= 15 mL
`V_2`= 30.0 mL

`color(blue)("Unknowns:"`
`P_2`

Rearrange the equation to solve for the final pressure by dividing both sides by `V_2` to get `P_2` by itself like this:

`P_2=(P_1xxV_1)/V_2`

Plug in your given values to obtain the final pressure:

`P_2=(0.50\atm xx 15\ cancel"mL")/(30.0\cancel"mL")` = `0.25 atm`