Energy required to expand V of cylinder

[vertciel]

Homework Statement

Calculate the work done when the volume of a cylinder is increased by 90.0 L against the atmospheric pressure. Think about the upward movement of a piston as it expands the volume of a cylinder.

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I am actually an AP Chemistry student and am supposed to do this problem using unit analysis as I am not taking AP Physics. However, I have taken Grade 11 Physics.

Thank you for your help!

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My Work:

Since 1 L = 0.001 m³, then 90.0 L = 0.0900 m³.

Since 1 Pa = 1 N/m², then 1.013E5 Pa = 1.013E5 N/m².

In order to get Nm = J = work:

1.013E5 N/m² x 0.0900 m³ = 9,117 Nm = 9117 J = 9.12 x 10³ J.

 

[LowlyPion]

That looks correct.

 

[vertciel]

Thank you for your response!