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.
Use the ideal gas law: PV=nRT
from the mass, you can get the number of moles of oxygen gas. Remember temps are in kelvins.
I got stuck on the grams part. How do I convert grams to moles? Do I use the molar mass of oxygen?
To estimate the gas pressure inside the tank, we can use the ideal gas law equation:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.
First, let's convert the given temperature from degrees Celsius to Kelvin:
T = 5 + 273.15 = 278.15 K
Next, we need to find the number of moles (n). We can use the given mass of oxygen (0.450 kg) and its molar mass to calculate the moles.
The molar mass of O2 is 32 g/mol. To convert the given mass to moles, we can use the following equation:
moles = mass / molar mass
moles = 0.450 kg / (32 g/mol)
= 0.450 kg / 0.032 kg/mol
= 14.0625 mol
Now, we can substitute the values into the ideal gas law equation:
PV = nRT
P * 2.32 L = 14.0625 mol * 0.0821 atm L / mol K * 278.15 K
Simplifying the equation:
P = (14.0625 mol * 0.0821 atm L / mol K * 278.15 K) / 2.32 L
P = 17.96 atm
Therefore, the estimated gas pressure inside the tank is approximately 17.96 atm.