Question

The air density at Mount Everest is less than that at the sea level. It is found by mountaineers that for one trip lasting a few hours, the extra oxygen needed by them corresponds to 30,000cc at sea level (pressure 1 atmosphere, temperature 27${}^o$C). Assume that the temperature around Mount Everest is -${73}^o$C and that the oxygen cylinder has a capacity of 5.2 litters. The pressure at which oxygen be filled (at site) in the cylinder is

• A. 3.86 atm
• B. 5.00 atm
• C. 5.77 atm
• D. 1 atm

Answer 1

The correct option is A 3.86 atm

Since moles of gas must remain constant,

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

$\frac{1\left(30000\right)}{300}=\frac{P\left(5200\right)}{143}$

$P=3.86atm$