A 44 L cylinder containing helium gas at a pressure of 43.1 atm is used to fill a weather balloon in order to lift equipment into the stratosphere. To what maximum pressure (in atm) could a 296 L balloon be filled

The value of maximum pressure the balloon could be filled = 6.40 atmosphere.

Explanation:

When helium from the cylinder is filled inside the balloon the heat & work

transfer is zero during the process. so from the first law of thermodynamics

change in internal energy is zero.

⇒ = 0

⇒ =

⇒ = ------------- (1)

Final temperature is equal to initial temperature.

Equation (1) can be written as

⇒ = -------------(2)

Initial volume = 44 L

Final volume = 296 L

Initial pressure = 43.1 atmosphere

Final pressure = we have to calculate

Put all the values in Equation (2) we get,

⇒ × 296 = 43.1 × 44  

⇒ = 6.40 atmosphere

This is the value of maximum pressure the balloon could be filled.

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