HELP!

What mass, in grams, of oxygen gas (O2) is contained in a 10.5-liter tank at 27.3 degrees Celsius and 1.83 atmospheres? Show all of the work used to solve this problem.

Respuesta :

Answer : The mass of oxygen gas is, 24.94 grams

Explanation :

Using ideal gas equation :

[tex]PV=nRT[/tex]

or,

[tex]PV=\frac{w}{M}RT[/tex]

where,

P = pressure of gas = 1.83 atm

V = volume of gas = 10.5 L

T = temperature of gas = [tex]27.3^oC=273+27.3=300.3K[/tex]

R = gas constant = 0.0821 L.atm/mole.K

n = number of moles of oxygen gas

w = mass of oxygen gas = ?

M = molar mass of oxygen gas = 32 g/mole

Now put all the given values in the above law, we get

[tex]1.83atm\times 10.5L=\frac{w}{32g/mole}\times 0.0821L.atm/mole.K\times 300.3K[/tex]

[tex]w=24.94g[/tex]

Therefore, the mass of oxygen gas is, 24.94 grams

Answer : The mass of oxygen gas contained in the tank is 24.9 grams.

Explanation :

Using ideal gas equation:

[tex]PV=nRT\\\\PV=\frac{w}{M}RT[/tex]

where,

P = pressure of oxygen gas = 1.83 atm

T = temperature of oxygen gas = [tex]27.3^oC=273+27.3=300.3K[/tex]

V = volume of oxygen gas = 10.5 L

M = molar mass of oxygen gas = 32 g/mole

w = mass of oxygen gas = ?

R = gas constant = 0.0821 L.atm/mol.K

Now put all the given values in the above equation, we get:

[tex]PV=\frac{w}{M}RT[/tex]

[tex](1.83atm)\times (10.5L)=\frac{w}{32g/mole}\times (0.0821L.atm/mol.K)\times (300.3K)[/tex]

[tex]w=24.9g[/tex]

Therefore, the mass of oxygen gas contained in the tank is 24.9 grams.