The conditions of the gases are given as follows:
|
Number of
Tanks |
Temperature
(K) |
Absolute Pressure
(MPa) |
Oxygen |
5 |
290 |
1.00 |
Nitrogen |
4 |
290 |
0.85 |
Carbon Dioxide |
6 |
290 |
1.25 |
The mass of each gas can be determined by the ideal gas law:
m = pV/RT
For oxygen, the gas constant R is 0.2598 kJ/kg-K. The mass of
the oxygen in a single tank is
m = (1000)(0.25)/(0.2598)(290)
= 3.318
kg
For nitrogen, the gas constant R is 0.2968 kJ/kg-K. The mass of the
nitrogen in a single tank is
m = (850)(0.25)/(0.2968)(290)
= 2.469
kg
For carbon dioxide, the gas constant R is 0.1889 kJ/kg-K. The mass of
the carbon dioxide in a single tank is
m = (1,250)(0.25)/(0.1889)(290) = 5.705
kg
The total weight of the tanks is then given by
Wtotal = weight of empty tanks + weight of gases
= (15)(5)(9.8) + (5)(3.318)(9.8)
+
(4)(2.469)(9.8) +
(6)(5.705)(9.8)
= 1,330 N
|