Question

If 22.5L of nitrogen at 748mmHg are compressed to 725mmHg at constant temperature. What is the new volume?

Answer 1

23.2 L

Step-by-step explanation:

Boyle's Law

Boyle's Law states that pressure and volume are inversely proportional when it comes to ideal gases.

`P_1V_1=P_2V_2`

• P1, V1 = initial pressure and volume
• P2, V2 = final pressure and volume

We're given:

• V1 = 22.5 L
• P1 = 748 mmHg
• V2 = ?
• P2 = 725 mmHg

`P_1V_1=P_2V_2`

`(748)(22.5)=(725)V_2\\\\V_2=((748)(22.5))/(725)\\\\V_2=23.2137931`

Round to 3 significant figures:

`V_2=23.2\hspace{4}L`