Question

At 300 K and under a pressure of 10.1325 MPa, the compressibility factor of $O_2$ os 0.8. Calculate the mass of $O_2$ necessary to fill a gas cylinder of $100{dm}^3$ capacity under the given conditions.

• A. $16.27$ kg
• B. $20$ kg
• C. $20.87$ kg
• D. $33.34$ kg

Answer 1

The correct option is A $16.27$ kg

$W=\frac{PVM}{ZRT}$

$=\frac{100\times 100\times 32}{0.8\times 0.0821\times 300}$

$=16240g$

$=16.27kg$

Hence, the correct option is $\text{A}$