A monoatomic ideal gas goes through a process \[p={{p}_{0}}-\alpha V\] where \[{{p}_{0}}\] and \[\alpha \] are positive constants and V is its volume. At what volume will the entropy of gas be maximum?

• A. \[\frac{5{{p}_{0}}}{6\alpha }\]
• B. \[\frac{{{p}_{0}}}{2\alpha }\]
• C. \[\frac{{{p}_{0}}}{4\alpha }\]
• D. \[\frac{5{{p}_{0}}}{8\alpha }\]