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A cylinder with a moving piston expands from an initial volume of 0.250 L against an external pressure of 2.00 atm. The expansion does 288 J of work on the surroundings. What is the final volume of the cylinder? Tro, Nivaldo J.. Chemistry (p. 299). Pearson Education. Kindle Edition.

Respuesta :

skyluke89

The final volume of the gas is 144.25 L

Explanation:

For an ideal gas kept at constant pressure, the work done by the gas on the surroundings is given by

[tex]W=p\Delta V = p(V_f - V_i)[/tex]

where

p is the pressure of the gas

[tex]V_i[/tex] is the initial volume

[tex]V_f[/tex] is the final volume

For the gas in the cylinder in this problem,

p = 2.00 atm

[tex]V_i = 0.250 L[/tex]

And we also know the work done,

W = 288 J

So we can solve the equation for [tex]V_f[/tex], the final volume:

[tex]V_f = V_i + \frac{W}{p}=0.250 + \frac{288}{2.00}=144.25 L[/tex]

Learn more about ideal gases:

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