A) 1/T
B) \[1/{{T}^{{}}}\]
C) T
D) \[{{T}^{2}}\]
Correct Answer: A
Solution :
According to the ideal gas law, \[pV=RT\] \[\Rightarrow \] \[V=\left[ \frac{R}{p} \right]T\] \[V\propto T\] \[\Rightarrow \] \[\frac{{{V}_{1}}}{{{V}_{2}}}=\frac{{{T}_{1}}}{{{T}_{2}}}\] Or \[\frac{{{V}_{2}}}{{{V}_{1}}}-1=\frac{{{T}_{2}}}{{{T}_{1}}}-1\] \[\frac{{{V}_{2}}-{{V}_{1}}}{{{V}_{1}}}=\frac{{{T}_{2}}-{{T}_{1}}}{{{T}_{1}}}\] \[\frac{{{V}_{2}}-{{V}_{1}}}{{{V}_{1}}}=\frac{1}{{{T}_{1}}}=\frac{1}{T}\]
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