Answer:
[tex]V_{1} = \frac{P_{2}V_{2}T_{1}}{P_{1}T_{2}}[/tex]
Explanation:
[tex]\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2}V_{2}}{T_{2}}[/tex]
First of all cross multiply
That's
[tex]P_{1}V_{1}T_{2} = P_{2}V_{2}T_{1}[/tex]
Next divide both sides by [tex]P_{1}T_{2}[/tex] in order to isolate [tex]V_{1}[/tex]
We have
[tex]\frac{P_{1}V_{1}T_{2}}{P_{1}T_{2}} = \frac{P_{2}V_{2}T_{1}}{P_{1}T_{2}}[/tex]
We have the final answer as
[tex]V_{1} = \frac{P_{2}V_{2}T_{1}}{P_{1}T_{2}}[/tex]
Hope this helps you
