A tank contains 0.450 kg of oxygen(O2) compressed into a volume of 2.32 L. Estimate the gas pressure (in atm) inside the tank at 5 degrees celsius.
Do I convert 0.450 kg from grams to moles, and if I do, do I use the molar mass of oxygen?
Yes, and use the molar mass for O2
Then use PV=nRT
To estimate the gas pressure inside the tank, we can use the ideal gas law equation:
PV = nRT
Where:
P = pressure (in atm)
V = volume (in L)
n = number of moles
R = ideal gas constant (0.0821 L*atm/(mol*K))
T = temperature (in Kelvin)
First, let's convert the given temperature from degrees Celsius to Kelvin. The conversion formula is:
T(K) = T(°C) + 273.15
So, for a temperature of 5 degrees Celsius, we have:
T = 5 + 273.15 = 278.15 K
Next, we need to calculate the number of moles of oxygen in the tank. To do this, we'll convert the given mass of oxygen from grams to moles using the molar mass of oxygen.
The molar mass of oxygen (O2) is approximately 32 g/mol.
To convert the mass from grams to moles, use the formula:
moles = mass (in grams) / molar mass
moles = 0.450 kg * (1000 g/kg) / 32 g/mol
= 14.06 mol
Now we have all the necessary values to calculate the gas pressure.
P * V = n * R * T
P * 2.32 = 14.06 * 0.0821 * 278.15
P = (14.06 * 0.0821 * 278.15) / 2.32
P ≈ 25.96 atm
Therefore, the estimated gas pressure inside the tank at 5 degrees Celsius is approximately 25.96 atm.