According to Boyles law if the initial pressure and volume of a gas were five atm for the pressure and 10 mL for the volume and pressure is doubled what is the new volume

The initial volume has been halved to 5 mL

Explanation:

Step 1: Data given

Initial pressure = 5.0 atm

Initial volume = 10 mL = 0.010 L

The pressure is doubled to 10.0 atm

Step 2: Calculate the new volume

P1*V1 = P2*V2

⇒with P1 = the initial pressure of the gas = 5.0 atm

⇒with V1 = the initial volume of the gas = 10 mL = 0.010 L

⇒with P2 = the new pressure = 10.0 atm

⇒with V2 = the new volume = TO BE DETERMINED

5.0 atm * 0.010 L = 10.0 atm * V2

V2 = 0.005 L = 5 mL

Initial volume / final volume = 10 mL / 5 mL  = 2

The initial volume has been halved to 5 mL