Answer:
if the temperature increases to 44°C, the pressure exerted on the damaged lungs would be approximately 1.334 atm.
Step-by-step explanation:
To determine the pressure being exerted on the damaged lungs, we can use the combined gas law, which states that the pressure of a gas is inversely proportional to its volume when temperature and amount of gas remain constant.
The combined gas law equation is: P₁V₁/T₁ = P₂V₂/T₂
Where:
P₁ = Initial pressure (1 atm)
V₁ = Initial volume (6 L)
T₁ = Initial temperature (32°C + 273.15 = 305.15 K)
P₂ = Final pressure (unknown)
V₂ = Final volume (4.5 L)
T₂ = Final temperature (44°C + 273.15 = 317.15 K)
Rearranging the equation to solve for P₂, we have:
P₂ = (P₁V₁T₂) / (V₂T₁)
Substituting the values:
P₂ = (1 atm * 6 L * 317.15 K) / (4.5 L * 305.15 K)
Calculating this expression gives us:
P₂ ≈ 1.334 atm