Explaination needed - A consumer upset with the latest trend of postal rate incr

Question

Explaination needed -

A consumer upset with the latest trend of postal rate increases has decided to try to send letters by balloon even though they may not reach their intended destination. A 79200 cm3 gas-filled balloon will provide enough lift for a 43.4 g package to be accelerated upward at a rate of 3.40 m/s2. For these circumstances, calculate the density of the gas the consumer fills the balloon with. The acceleration due to gravity is g = 9.81 m/s2 and the density of air is rho air = 1.16 kg/m3. Neglect the mass of the balloon material and the volume of the package. P =

Explanation / Answer

(ro V + m) (a+g) = 1.16* V * g
(ro 79200e-6 + 43.4*10^-4 ) (3.40+9.81) = 1.16* 79200*10^-6* 9.81
(ro 0.079200 + 0.00434) = 0.05853
ro = 0.8066 Kg/m3

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