Answer:
[tex]R_{u} = 8.307\,\frac{kPa\cdot L}{mol\cdot K}[/tex]
Explanation:
Let assume that Argon behaves ideally. The equation of state for an ideal state is:
[tex]P\cdot V = n \cdot R_{u}\cdot T[/tex]
The gas constant is:
[tex]R_{u} = \frac{P\cdot V}{n\cdot T}[/tex]
[tex]R_{u} = \frac{(101.3\,kPa)\cdot (22.4\,L)}{(1\,mol)\cdot (273.15\,K)}[/tex]
[tex]R_{u} = 8.307\,\frac{kPa\cdot L}{mol\cdot K}[/tex]