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## Homework Statement

Take an elastic balloon of volume V in vacuum. The surface of the balloon has tension T. Find the pressure inside the balloon in terms of V and T, then combine this to the ideal gas law to find an expression for V.

## Homework Equations

See below

## The Attempt at a Solution

I think one should use something like dU=-pdV, but you need to add a term with T. From dimensional analysis you get TdA. So you have dU=-pdV+TdA. But I'm confused on what happens then, I get something like

p=-(dU/dV)+T(dA/dV)

But then how does this help if I want V?

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