Answer
$T_2=\dfrac{P_2V_2T_1}{P_1V_1}$
Work Step by Step
Using the properties of equality, in terms of $
T_2
,$ the given equation, $
\dfrac{P_1V_1}{T_1}=\dfrac{P_2V_2}{T_2}
,$ is equivalent to
\begin{array}{l}
P_1V_1T_2=P_2V_2T_1
\\\\
T_2=\dfrac{P_2V_2T_1}{P_1V_1}
.\end{array}
