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?


Respuesta :

Answer:

0.22 L is the new volume within his blood

Explanation:

Given that,

Initial volume, [tex]V_1=0.05\ L[/tex]

Initial pressure, [tex]P_1= 7.05\ atm[/tex]

Final pressure, [tex]P_2=1.6\ atm[/tex]

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,

[tex]P_1V_1=P_2V_2\\\\V_2=\dfrac{P_1V_1}{P_2}\\\\V_2=\dfrac{7.05\times 0.05}{1.6}\\\\V_2=0.22\ L[/tex]

So, the new volume is 0.22 L.