Question

Imagine that you have a 7.00 L gas tank and a 3.00 L gas tank. You need to fill one tank with oxygen and the other with acetylene to use in conjunction with your welding torch. If you fill the larger tank with oxygen to a pressure of 135 atm , to what pressure should you fill the acetylene tank to ensure that you run out of each gas at the same time? Assume ideal behavior for all gases.

Answer 1

The acetylene must be fill at 315 atm.

Step-by-step explanation:

Given data:

Pressure of oxygen =P₁= 135 atm

Volume of oxygen = V₁=7.00 L

Volume of acetylene = V₂=3.00 L

Pressure of acetylene =P₂= ?

Solution:

According to Boyle's law

P₁V₁ = P₂V₂

P₂ = P₁V₁/V₂

P₂ = 135 atm × 7.0 L / 3.00 L

P₂ = 945 atm. L/ 3.00 L

P₂ = 315 atm

The acetylene must be fill at 315 atm.