For an ideal gas turbine cycle, $T_{1}$ and $T_{3}$ are the compressor inlet temperature and turbine inlet temperature respectively. The ratio $\frac{T_{3}}{T_{1}}$ is denoted by $t$ and the ratio of specific heats is denoted by $\gamma$. For any given $t$, the optimum pressure ratio for the maximum specific work output is
- $t^{\frac{2}{(\gamma-1)}}$
- $t^{\frac{\gamma}{2(\gamma-1)}}$
- $t^{\frac{\gamma}{(\gamma-1)}}$
- $t^{\frac{\gamma-1}{\gamma}}$
