Question

A balloon of helium gas in Alabama has a volume of 22.4 L at 26°C and a 1.03 ATM how big with a balloon get if is transported to Denver on a sunny day when it is 22°C and has an air pressure of 0.81 ATM

Answer 1

The final volume of the balloon is = 28.11 L

Step-by-step explanation:

Initial pressure
`P_(1)` = 1.03 atm = 104.325 K pa

Initial temperature
`T_(1)` = 26 °c = 299 K

Initial volume
`V_(1)` = 22.4 L

Final temperature
`T_(2)` = 22 °c = 295 K

Final pressure
`P_(2)` = 0.81 atm = 82 K pa

We know that

`(P_(1) V_(1) )/(T_(1) ) = (P_(2) V_(2) )/(T_(2) )`

Put all the values in above formula we get

`((104.325)(22.4))/(299) = ((82)(V_(2) ))/(295)`

`V_(2)` = 28.11 L

This is the final volume of the balloon.