Question
Question: How do you calculate molar volume of oxygen gas?...
How do you calculate molar volume of oxygen gas?
Solution
At a given temperature and pressure, the volume occupied by one mole of oxygen gas can be calculated by using the ideal gas equation. This equation has five variables, therefore, if we know the values of any four variables then the value of the fifth variable can be easily calculated.
Formula used:
pV=nRT
Complete step by step solution:
We will calculate the volume (in litres) occupied by one mole of oxygen gas at standard temperature and pressure (S.T.P.). S.T.P. is defined as temperature, T=0∘ C and pressure, p=1 bar.
The ideal gas equation is, pV=nRT
To calculate volume V in litres, following units must be followed:
unit of pressure p- atmosphere,
unit of number of moles n- mol,
unit of universal gas constant R- L atm mol−1 K−1,
unit of temperature T- Kelvin
In the ideal gas equation,
Pressure p=1 barand we know that 1 bar=105 Pa
Also, 1.01325×105 Pa=1 atm
⇒105 Pa=1.013251 atm=0.987 atm
⇒1 bar=0.987 atm
⇒p=0.987 atm
Number of moles, n=1 mol
Universal gas constant, R=0.0821 L atm mol−1 K−1
Temperature, T=0∘ C=273.15 K
Volume, V=?
From the ideal gas equation, V=pnRT
Substituting the values of known variables in this equation:
V=0.9871×0.0821×273.15 L
Simplifying the numerator, we get,
V=0.98722.426 L
Solving the above expression, we get,
V=22.721 L
Now, approximating the above value up to two values after decimal, we get,
V=22.72 L
Hence, the molar volume of oxygen gas at S.T.P. is 22.72 L
Note: The definition of S.T.P. was changed in 1982. Before that, S.T.P. was defined as T=0∘ C and pressure, p=1 atm.
The value of the universal gas constant , R should be taken carefully. If all the other units are in S.I., then R=8.314 J K−1 mol−1. In this case, we will get the required volume in m3.