Question

A diver has about 0.05L of gas dissolved in his blood while swimming underwater (at a pressure of 7.05atm). He returns too quickly to the surface, quickly (at a pressure of 1.60atm). What is the new volume within his blood?

Answer 1

0.22 L is the new volume within his blood

Step-by-step explanation:

Given that,

Initial volume,
`V_1=0.05\ L`

Initial pressure,
`P_1= 7.05\ atm`

Final pressure,
`P_2=1.6\ atm`

We need to find the new volume within his blood. Let the new volume be V₂. It is based on the concept of Boyle's law. According to Boyle's law,

`P_1V_1=P_2V_2\\\\V_2=(P_1V_1)/(P_2)\\\\V_2=(7.05* 0.05)/(1.6)\\\\V_2=0.22\ L`

So, the new volume is 0.22 L.