How much does 1m^3 oxygen at 10 bar weight at 0 degree celsius?

In summary, the weight of 1m^3 oxygen at 10 bar at 0 degree celsius is approximately 1.429 kilograms. The weight can be calculated using the ideal gas law, and it can change with altitude due to changes in pressure and temperature. Compared to other gases, oxygen has a higher molar mass, resulting in a higher weight at the same conditions. To calculate the weight at different pressures and temperatures, we need to know the pressure, temperature, and volume of the oxygen.
  • #1
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Homework Statement


How much does 1m3 air (oxygen) weight with 10 bar pressure at 0 degrees celsius?

Homework Statement

0 degrees Celsius = 273.15 kelvin

The Attempt at a Solution


I saw this formula on another thread:
1 atm = 101,325 pascals ~ 1.2 atm = 121,590 pascals
27oCelsius = 300.15 K

Density = (121,590 pascals)/(8.314 * 300.15 K) = 48.72 kg/m3 = 48,720 g/m3

1 000 000/(8,314*273,15)=
1 000 000/2270,9691=440,34

440,34kg/m^3

Homework Statement


10 bar
1m3
0 degrees celsius
oxygen

Homework Equations


?Thanks in advance
 
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  • #2
You're given values for P, V and T for the gas.
Do you know any expression that relates these values to each other?
 

FAQ: How much does 1m^3 oxygen at 10 bar weight at 0 degree celsius?

1. What is the weight of 1m^3 oxygen at 10 bar at 0 degree celsius?

The weight of 1m^3 oxygen at 10 bar at 0 degree celsius is approximately 1.429 kilograms.

2. How is the weight of 1m^3 oxygen at 10 bar at 0 degree celsius calculated?

The weight of a gas can be calculated using the ideal gas law, which is PV = nRT. In this case, we know the pressure (10 bar), volume (1m^3), and temperature (0 degree celsius) of the oxygen. We can also calculate the number of moles of oxygen (n) using the molar mass of oxygen and the ideal gas law. Once we have all the values, we can use the equation W = n x molar mass to calculate the weight in kilograms.

3. Does the weight of 1m^3 oxygen at 10 bar at 0 degree celsius change with altitude?

Yes, the weight of a gas can change with altitude due to changes in pressure and temperature. At higher altitudes, the pressure decreases and the temperature also decreases, causing the weight of the gas to decrease.

4. How does the weight of 1m^3 oxygen at 10 bar at 0 degree celsius compare to other gases?

The weight of a gas depends on its density and molar mass. Oxygen has a molar mass of 32 g/mol, which is higher than most other gases. This means that 1m^3 of oxygen at 10 bar at 0 degree celsius will weigh more than 1m^3 of most other gases at the same conditions.

5. What is the weight of oxygen at different pressures and temperatures?

The weight of oxygen will vary depending on the pressure and temperature. At different conditions, the ideal gas law will give different values for the number of moles of oxygen, which will then affect the weight. To calculate the weight at different conditions, we would need to know the pressure, temperature, and volume of the oxygen.

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