Question

If `14/3 L` of a gas at room temperature exerts a pressure of `45 kPa` on its container, what pressure will the gas exert if the container's volume changes to `13/7 L`?

Answer 1

`1470/13 kPa`

Explanation:

Let's begin by identifying our known and unknown variables:

`color(red)("Knowns:")`
- Initial Volume
- Final Volume
- Initial Pressure

`color(gold)("Unknowns:")`
- Final Pressure

We can obtain the answer using Boyle's Law:

The letters i and f represent the initial and final conditions, respectively.

All we have to do is rearrange the equation to solve for the final pressure.

We do this by dividing both sides by `V_f` in order to get `P_f` by itself like this:
`P_f=(P_ixxV_i)/V_f`

Now all we do is plug in the values and we're done!

`P_f= (45\kPa xx 14/3\ cancel"L")/(13/7\cancel"L")` = `1470/13kPa`