question_answer

The thermal efficiency of a gas turbine cycle with regeneration in terms of \[{{T}_{3}}\] (maximum temperature),\[{{T}_{1}}\] (minimum temperature) \[{{r}_{p}}\] (pressure ratio) and \[k-\left( \frac{{{c}_{p}}}{{{c}_{v}}} \right)\] is given by:

A) \[1-\frac{{{T}_{1}}}{{{T}_{3}}}{{r}_{p}}^{\left( \frac{k}{k-1} \right)}\]                      

B) \[1-\frac{{{T}_{1}}}{{{T}_{3}}}{{r}_{p}}^{\left( \frac{k}{k-1} \right)}\]

C) \[1-\frac{{{T}_{3}}}{{{T}_{1}}}{{r}_{p}}^{\left( \frac{k-1}{k} \right)}\]                      

D) \[1-\frac{{{T}_{1}}}{{{T}_{3}}}{{r}_{p}}^{\left( \frac{k-1}{k} \right)}\]