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 30,000 cc at sea level (pressure 1 atmosphere, temperature ${27}^{\circ }$. Assuming that the temperature around Mount Everest is $-{73}^{\circ }C$ and that the oxygen cylinder has capacity of 5.2 litre, the pressure at which $O_2$ be filled (at site) in 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

$\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}\frac{1\times 3\times {10}^4}{300}=\frac{P_2\times 5.2\times {10}^3}{200}\Rightarrow P_2=3.86Atm$