Question

a paintball gun's air-tank is able to handle 3500.0 psi (24131 kPa) until the seal breaks. If the air-task is filled with compressed air to a pressure of 3000.0 psi (20684.kPa) at a temperature of 24.444°C, defermine..

a. The pressure inside of the air-tank if the paintball gun is brought outside on a hot summer day and temperature of the gas inside the tank reaches 39.444°C

b. ..if the seal breaks or not under the conditions of part a.

  

Answer 1

a) At contant volume according to GAY-LUSSAC'S law the formula is followed as

P1   P2 ------ = ------ T1   T2 P1   = 3000.0 psi, we always use absolute temperatures with this equation, so we have to convert temperatures to kelvin T1  =24.444+273.15= 297.594 k, T2 = 39.444+273.15= 312.594 k, P2 = P1 T2 / T1 P2 = 3000 x 312.594/ 297.594 psi P2 = 3151.213 psi b) seal won't be breaked because the air-tank is able to handle upto 3500 psi.