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 $27°C$). Assuming that the temperature around Mount Everest is $-73°C$ and that the oxygen cylinder has capacity of $5.2 \,litre,$ the pressure at which ${O_2}$ be filled (at site) in cylinder is .... $atm$
A$3.86$
B$5.00$
C$5.77$
D$1$
Medium
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A$3.86$
a Since moles of gas must remain constant,
$\frac{ P _{1} V _{1}}{ T _{1}}=\frac{ P _{2} V _{2}}{ T _{2}}$
$\frac{1(30000)}{300}=\frac{P(5200)}{143}$
$P =3.86 \; atm$
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