Answer:
[tex] V_2 = \dfrac{P_1V_1T_2}{T_1P_2} [/tex]
Step-by-step explanation:
[tex] \dfrac{P_1V_1}{T_1} = \dfrac{P_2V_2}{T_2} [/tex]
We are solving for V_2. Switch sides.
[tex] \dfrac{P_2V_2}{T_2} = \dfrac{P_1V_1}{T_1} [/tex]
V_2 is being multiplied by P_2 and is divided by T_2.
Do the opposite operations to both sides.
[tex] \dfrac{P_2V_2}{T_2} \times \dfrac{T_2}{P_2} = \dfrac{P_1V_1}{T_1} \times \dfrac{T_2}{P_2} [/tex]
[tex] V_2 = \dfrac{P_1V_1T_2}{T_1P_2} [/tex]
