Question

The volume of a gas is 250.0 mL when the pressure is 1.00 atm. At the same temperature, what is the pressure at which the volume of the gas is 80 mL?

Answer 1

The new Pressure would be `3.125 atm`

Explanation:

In order to solve this problem we will use Boyle's Law which is the relationship between Pressure and Volume at a fixed temperature.

The equation is `P_1V_1=P_2V_2`

`P_1 = 1atm`
`V_1 = 250 mL`
`P_2=?`
`V_2=80mL`

`(1atm)(250mL)=P_2(80mL)`

`((1atm)(250cancel(mL)))/(80cancel(mL))=(P_2(cancel(80mL)))/(cancel(80mL))`

`3.125 atm = P_2`