Question

A human adult breathes in approximately 0.50 L of air at 1 atm with each breath. If an air tank holds 10 L of air at 200 atm, how many breaths the tank will supply?

Answer 1

Given that $V_1=10l,P_1=200atm,P_2=1atm,V_2=?$

$V_1{P}_1=V_2{P}_2$

$\Rightarrow 10\times 200=V_2\times 1$

$\Rightarrow V_2=2000lit$

$\Rightarrow 1000l\times \frac{1}{0.50L}=4.0\times {10}^3$ breaths.