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Using the density equation  \rho_{Air}V_{Air}-m_{gas}g-m_{total}g=0

we get the equation V=\frac{m_{total}}{p_{air}-p_{gas}} . Where V is the
Balloon Launch Work

Calculations for lift

e volume of helium needed to get the system neutrally buoyant. With our calculations, the total system weighed 3.75 kg, this included a kilogram lift charge so that balloon would get off the ground and float upward. This mass was calculated by summing up all the parts of the system (measured individually). However, some small pieces such as cord and zip-ties were not measured adding some unmeasured mass to the system.

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