Question

the volume of air in a diving bell changes as it descends into deep water. if the air in a diving bell occupies 9.50 L at 1.02 atm and 20.1 c what will be the volume of the air at 1.55 atm and 15.0 c

Answer 1

V₂ = 6.14 L

Step-by-step explanation:

Given data:

Initial volume = 9.5 L

Initial pressure = 1.02 atm

Initial temperature = 20.1 °C (20.1 +273 = 293.1 K)

Final temperature = 15°C (15+273 = 288 K)

Final volume = ?

Final pressure = 1.55 atm

Formula:

P₁V₁/T₁ = P₂V₂/T₂

P₁ = Initial pressure

V₁ = Initial volume

T₁ = Initial temperature

P₂ = Final pressure

V₂ = Final volume

T₂ = Final temperature

Solution:

P₁V₁/T₁ = P₂V₂/T₂

V₂ = P₁V₁T₂/T₁ P₂

V₂ = 1.02 atm × 9.50 L × 288 K / 293.1 K × 1.55 atm

V₂ = 2790.72 atm. L.K / 454.305 K. atm

V₂ = 6.14 L