Question

The air density at Mount Everest is less than that at sea level. It is found by mountain for one trip lasting a few hours,the extra oxygen needed by them correspond to 30000 cc sea level (pressure = 1 atmosphere,temperature = ${27}^{\circ }C$ ) Assuming that the lens around Mount Everest is $-{73}^{\circ }C$ and that the oxygen cylinder has capacity of 5.2 litters. The pressure at which oxygen be filed (at sire) in the cylinder is

Answer 1

Given that,

Volume $V_1=30000cc$

Volume $V_2=5200$

Pressure $P_1=1atm$

We know that,

$\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$

$\frac{1\times 30000}{300}=\frac{P_2\times 5200}{200}$

$P_2=3.85atm$

Hence, the pressure is $3.85atm$