Question

A stationary cylinder of oxygen used in a hospital has the following characteristics at room temperature $300K$, gauge pressure $1.38\times {10}^{7}Pa$, volume $16L$. If the flow rate, measured at atmospheric pressure, is constant at 2.4 L/min, the cylinder will last for nearly $5\times n$ hrs. The value of $n$ is, where $n$ is an integer

Answer 1

$\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$

$\frac{(1.38\times {10}^{7}Pa)\left(16L\right)}{300K}=\frac{\left({10}^{5}Pa\right)\left(2.4\frac{L}{m}\right)t}{300K}$

$t=\frac{1.38\times {10}^7\times 16}{{10}^5\times 2.4}=920min$

$t=\frac{920}{60}h=15h\left(\text{approx.}\right)$