Question

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

Answer 1

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

Step-by-step 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.

⇒
`U_(2) - U_(1)` = 0

⇒
`U_(2)` =
`U_(1)`

⇒
`T_(2)` =
`T_(1)` ------------- (1)

Final temperature is equal to initial temperature.

Equation (1) can be written as

⇒
`P_(2)V_(2)` =
`P_(1)V_(1)` -------------(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,

⇒
`P_(2)` × 296 = 43.1 × 44

⇒
`P_(2)` = 6.40 atmosphere

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