question_answer

One mole of an ideal gas undergoes a process\[P=\frac{{{P}_{0}}}{1+{{\left( \frac{{{V}_{0}}}{V} \right)}^{2}}}\]   Here \[{{P}_{0}}\] and \[{{V}_{0}}\] are constant. Change in temperature of the gas when volume is changed from \[V={{V}_{0}}\] to \[V=2{{V}_{0}}\]

A) \[\frac{-2{{P}_{0}}{{V}_{0}}}{5R}\]

B) \[\frac{11{{P}_{0}}{{V}_{0}}}{10R}\]

C) \[\frac{-5{{P}_{0}}{{V}_{0}}}{10R}\]

D) \[{{P}_{0}}{{V}_{0}}\]