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[itex]\int p dv[/itex] is the work done by the gas. When the volume increases, it's positive.
[itex]-\int p dv[/itex] is the work done on the gas. When the volume increases, it's negative.
Either one is fine, depending upon the sign convention used in your course. In your first post you wrote:
That tells me you want the second version, the work done on the gas.
[itex]-\int p dv[/itex] is the work done on the gas. When the volume increases, it's negative.
Either one is fine, depending upon the sign convention used in your course. In your first post you wrote:
[tex]\Delta U= Q + W [/tex]
That tells me you want the second version, the work done on the gas.