Question

At one point the lungs are filled with gas and have a volume of 10.5m³ at a pressure of 4 atmospheres. if the lung volume changes isothermally to a final pressure of 6 atmospheres,evaluate the final volume of the lungs

Answer 1

Answer:

7 m³

Explanation:

At a constant temperature, we have the following relationship between volume and pressure:

$P_2V_2=P_1V_1_{}$

Where P is the pressure and V is the volume. So, we can solve for the final volume V2 as:

$V_2=\frac{P_1V_1}{P_2}$

Replacing P1 = 4 atm, V1 = 10.5 m³, and P2 = 6 atm, we get:

$V_2=\frac{4\text{atm}\cdot10.5m^3}{6atm}=7m^3$

Therefore, the final volume of the lungs will be 7 m³