Question: Assume we fill a spherical balloon from a bottle of helium gas. The helium gas provides work PdV that stretches the balloon material S dA

Assume we fill a spherical balloon from a bottle of helium gas. The helium gas provides work ∫ PdV that stretches the balloon material ∫ S dA and pushes back the atmosphere ∫ Po dV. Write the incremental balance for dWhelium = dWstretch + dWatm to establish the connection between the helium pressure, the surface tension S and Po as a function of radius.

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