A tank used for compressed gas contains 9750*mol oxygen gas, in a volume of 9750*L, at a temperature of 34.9 ""^@C...?

What is the pressure inside the tank in $\text{pounds per square inch}$?

May 19, 2017

Well, first we use standard units and get, $P = 149.4 \cdot a t m$, and then convert this into $\text{psi}$.

Explanation:

$P = \frac{n R T}{V} = \frac{9750 \cdot m o l \times 0.0821 \cdot \frac{L \cdot a t m}{K \cdot m o l} \times 308 \cdot K}{1650 \cdot L}$

$= 149.4 \cdot a t m$

And then we convert this to $\text{psi}$; $1 \cdot a t m \equiv 14.6 \cdot \text{psi}$.

And so $P = 149.4 \cdot a t m \times 14.6 \cdot \text{psi} \cdot a t {m}^{-} 1$ $=$

$\text{Approx........2000 psi}$. Note that this is on the VERY high end for oxygen tanks for medical use. Why would you NOT such a tank for scuba diving?