The density of oxygen gas at 298 K and 1 atm is closest to?
Question
The density of oxygen gas at 298 K and 1 atm is closest to?
Solution
To find the density of oxygen gas at 298 K and 1 atm, we can use the ideal gas law, which states that PV = nRT.
Here, P = pressure = 1 atm V = volume n = number of moles R = ideal gas constant = 0.0821 L atm / (mol K) T = temperature = 298 K
We want to find the density, which is mass/volume. We know that one mole of oxygen gas (O2) has a mass of approximately 32 g. So, we can rewrite the equation as follows:
PV = (mass/RMM)RT
where RMM is the relative molecular mass.
Rearranging for mass/volume (density), we get:
Density = PM/RT
Substituting the known values:
Density = (1 atm * 32 g/mol) / (0.0821 L atm / (mol K) * 298 K)
Solving this gives a density of approximately 1.43 g/L.
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