If the envelope and gondola have a total mass of 4300 kg, what is the maximum cargo load when the blimp flies at a sea-level location? assume an air temperature of 20∘c.

QUESTION: The question is incomplete. See the complete question below and the answer.

The classic Goodyear blimp is essentially a helium balloon— a big one, containing 5700 m3 of helium. If the envelope and gondola have a total mass of 4300 kg, what is the maximum cargo load when the blimp flies at a sea-level location? Assume an air temperature of 20°C.

Mass of the cargo load  = 1548.2kg

Explanation:

Calculating the weight of helium gas, we have

W = mg

   = (pv)g

   =(0.178 * 5700)g

   =(1014.6)g

Weight of envelope and gondola;

W = (4300kg)g

Weight of cargo load = mg (unknown)

The upthrust force on the balloon is calculated as;

F =pvg

  = (1.204 *5700)g

  =(6862.8)g

But;

Weight of helium gas + weight of envelope and gondola + weight of cargo = upthrust force on the balloon.

Substituting, we have;

(1.0146)g +  (4300kg)g + mg = (6862.8)g

mg =  (6862.8)g - (1014.6)g - (4300kg)g

 mg    = (1548.2kg)g

m =  (1548.2kg)g/g

m = 1548.2kg

heat the gas and measure the pressure

the total distance that martina travels that day is

(distance from home to mom's office) plus (distance from mom's office to school)

plus (distance from school to library) plus (distance from library to friend's house)

plus (distance from friend's house to martina's house).

(we don't know what any of these distance actually is.)