Respuesta :

samuelonum1

Answer:

The new volume is  [tex]11.6L[/tex]

Explanation:

      This problem is on the application of Boyle's law which states that" the volume of a given mass of gas at constant temperature is inversely  proportional to the pressure"

[tex]pressure \alpha \frac{1}{volume}[/tex]

Given data

initial pressure p1= 100atm

initial volume v1= 3.7L

final pressure p2= 32 atm

final volume v2= ?

Apply Boyle's law we have

[tex]p1v1= p2v2\\[/tex]

[tex]v2= \frac{p1v1}{p2}[/tex]

Substituting our data we have

[tex]v2= \frac{100*3.7}{32} \\v2=\frac{370}{32} \\v2= 11.6 L[/tex]

The new volume is [tex]11.6L[/tex]

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