Hospitals buy 400-L cylinders of oxygen gas compressed at 150 atm. They administer oxygen to patients at 3.0 atm in a hyperbaric oxygen chamber. What volume of oxygen can a cylinder supply at this pressure?

200000 L

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2000 L

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20000 L

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200 L

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Solution

The correct option is C
20000 L

According to Boyle's law: $P_{1} V_{1} = P_{2} V_{2}$

Here $P_{1} = 150 a t m : P_{2} = 3 a t m : V_{1} = 400 L$

$\Rightarrow V_{2} = \frac{150 \times 400}{3}$

$\Rightarrow V_{2} = 20000 L$

Therefore, the volume of gas = 20000 L

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