A) \[X\text{ }L\text{ }atm\text{ }mo{{l}^{-1}}{{K}^{-1}}\]
B) \[\frac{X}{2}\text{ }L\text{ }atm\text{ }mo{{l}^{-1}}{{K}^{-1}}\]
C) \[2X\text{ }L\text{ }atm\text{ }mo{{l}^{-1}}{{K}^{-1}}\]
D) \[2X\,atm\,{{L}^{-1}}\,mo{{l}^{-1}}{{K}^{-1}}\]
Correct Answer: C
Solution :
Ideal gas equation is \[pV=nRT\]or \[V=\frac{nRT}{p}+C\] or \[V=\frac{RT}{p}+0\] (for 1 mol) When \[V\,vs\]T is plotted, a straight line is obtained, slope of which is given by R/ p. \[\text{Slope}=\frac{R}{p}\Rightarrow \,\,X=\frac{R}{2}\] or \[R=2\,X\,L\,\text{atm}\,\text{mo}{{\text{l}}^{-}}{{\text{K}}^{-1}}\]
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