Question

Atmospheric pressure on the peak of Kilimanjaro can be as low as 0.20 atm. If the volume of an oxygen tank is 10.0L, at what pressure must the tank be filled so the gas inside would occupy a volume of 1.2 x 103L at this pressure?

Answer 1

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Answer 2

The tank must be filled at a pressure of $24 atm.$

Explanation:

$V_{1} =10.0L$

$V_{2}=1.2*10^{3} L$

$P_{2}=0.20atm$

Isolation of the variable $P_{1}$

$P_{1} V_{1} =P_{2} V_{2}$

$\frac{P_{1} V_{1} }{V_{1} } =\frac{P_{2} V_{2} }{V_{1} }$

$P_{1} =\frac{P_{2} V_{2} }{V_{1} }$

$=\frac{(0.20atm)(1.2*10^3 L)}{10.0 L}$

$=24 atm$.