First slide

Gaseous state

Question

In a hospital, an oxygen cylinder hold 10L of oxygen at 200 atm pressure. If a patient breath is 0.50 mL of oxygen at 1.0 atm with each breath and the cylinder will be sufficient for x x l0⁶ breaths. Find the value of x. Assume that all the data is at 37°C.

Moderate

Solution

$p_{1} V_{1} = p_{2} V_{2} 200 \times 10 = 1 \times V_{2} \Rightarrow V_{2} = 2000 L Number of breaths = \frac{Total volume}{Volume consumed per breath} = \frac{2000}{0.5 \times 10^{- 3} L} = 4 \times 10^{6} Hence, the value pf x is 4$

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