Answer
$\frac{T_3}{T_1 } = 0.644$
Work Step by Step
To find the $T_3/T_1$ for the path $ 1 \rightarrow 2$, we need to use the equation
$T_3 = T_1 (\frac{V_1}{V_3})^{\gamma -1 }$
Where $\gamma = \frac{7}{5}$ and $V_3 = 3.00V_1$
$\frac{T_3}{T_1 } = (\frac{V_1}{3.00V_1})^{7/5-1 }$
$\frac{T_3}{T_1 } = (\frac{1}{3.00})^{2/5}$
$\frac{T_3}{T_1 } = 0.644$
