a light (consider it massless), balloon is used to lift a 1,000 kg safe from 100

Question

a light (consider it massless), balloon is used to lift a 1,000 kg safe from 100 m below the surface of the ocean.

A) if the volume of the safe is 1 m^3, what volume would the balloon need to be inflated to in order to lift the safe?

B) at a depth of d=100.0 m, and a temperature of 20 degrees, how many moles of nitrogen are needed to inflate the balloon to the volume found in part a?

c) as the balloon rises, the flow of heat between the gas in the balloon and the outside water keeps the gas at a constant temperature of 20 C. what is the volume of the balloon at any depth?

d) if the only forces acting are the buoyancy force and gravity what will be the acceleration of the balloon and the safe when they are 10 meters below the surface?

e) 4,000 J of heat flows between the water and the gas by the time the balloon reaches the surface. what dorection (water to gas, or gas to water) did the heat flow and where did the energy go if the temperature of the gas remains constant?

Explanation / Answer

1000 kg safe with volume 1m3 will mean a safe with density 1000 kg/m3 which is same density as that of water. So, considering that water has same density over all heights (which is a fairly good assumption because of high bulk modulus of water), the safe will get lifted with almost zero upward force which will mean a immediately when we fill balloon with small amount of nitrogen.

There could be something wrong with the input values given.

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