How much radio equipment can a 10 m3 radiosonde filled with hydrogen lift into the air if its shell has a mass of 600 g?

Data: V (volume of hydrogen in the radiosonde) = 10 m3; m1 (shell mass) = 600 g (0.6 kg).

Constants: ρ1 (hydrogen density) = 0.0898 kg / m3; ρ2 (air density) = 1.225 kg / m3; g (acceleration due to gravity) = 9.81 m / s2.

The maximum weight of the equipment lifted by the radiosonde is determined from the equality: Fa = ρ2 * g * V = Fт = (m1 + m2) * g + P3 = (m1 + ρ1 * V) * g + P3, whence

P3 = ρ2 * g * V – (m1 + ρ1 * V) * g.

Calculation: P3 = 1.225 * 9.81 * 10 – (0.6 + 0.0898 * 10) * 9.81 = 105.48 N.