A Scuba Diver Needs A Diving Tank In Order To Provide Breathing Gas While He Is Unerwater. How Much Pressure Is Needed For 6.00 Liters Of Gas At 1.01

a scuba diver needs a diving tank in order to provide breathing gas while he is unerwater. how much pressure is needed for 6.00 liters of gas at 1.01 atmospheric pressure to be compressed in a 3.00 liter cylinder ?

 

Good Day.....

Problem: A scuba diver needs a diving tank in order to provide breathing gas while he is underwater. how much pressure is needed for 6.00 liters of gas at 1.01 atmospheric pressure to be compressed in a 3.00 liter cylinder ?

Given Data:

V1 (initial volume) = 6.00 L                       V2 (final volume) = 3.00 L

P1 (initial pressure) = 1.01 atm                    P2 (final pressure) = ? unknown

This problem can be solved using Boyles law which states that pressure is inversely proportional to its volume when temperature and amount of gas i constant.

Solution:

V1 × P1 = V2 × P2

P2 = V1 × P1 / V2

     = 6.00 L × 1.01 atm / 3.00 L    (cancel the unit liter)

     = 6.06 atm / 3.00  

     = 2.02 atm

Answer:

Pressure needed is 2.02 atm

Hope it helps....=)