Answer:
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.
⇒ [tex]U_{2} - U_{1}[/tex] = 0
⇒ [tex]U_{2}[/tex] = [tex]U_{1}[/tex]
⇒ [tex]T_{2}[/tex] = [tex]T_{1}[/tex] ------------- (1)
Final temperature is equal to initial temperature.
Equation (1) can be written as
⇒ [tex]P_{2}V_{2}[/tex] = [tex]P_{1}V_{1}[/tex] -------------(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,
⇒ [tex]P_{2}[/tex] × 296 = 43.1 × 44
⇒ [tex]P_{2}[/tex] = 6.40 atmosphere
This is the value of maximum pressure the balloon could be filled.
