- #1

Gwozdzilla

- 81

- 0

## Homework Statement

A weather balloon is filled with Helium gas and released from the ground. It goes up 18km and achieves a diameter of 15m. Determine if the following values are greater than zero, less than zero, or equal to zero: ΔV, ΔP, ΔT, ΔU, ΔH, S

_{sys},

_{surr}, S

_{tot}

## Homework Equations

ΔU = C

_{V,m}ΔT

ΔH = C

_{P,m}ΔT

S

_{sys}+ S

_{surr}= S

_{tot}= 0 if process is reversible

S

_{sys}+ S

_{surr}= S

_{tot}> 0 if process is irreversible

"Reversible" means all of the forces are at equilibrium at all times throughout the process.

S

_{sys}= C

_{P,m}ln(T

_{f}/T

_{i}) + nRln(V

_{f}/V

_{i}) is a "state function."

## The Attempt at a Solution

Obviously, ΔV increases because the balloon expands as the diameter gets to be large compared to what it presumably was at the time of release, even though the diameter at that time isn't mentioned.

ΔV > 0

ΔP < 0 because pressure decreases as altitude increases.

ΔT < 0 because temperature increases as altitude increases.

ΔU < 0 because ΔT < 0

ΔH < 0 because ΔT < 0

It seems that I have assumed that the external properties of T and P apply to the inside of the balloon, so I guess the system is reversible.

S

_{tot}= 0

S

_{sys}= -S

_{surr}

I don't really know where to go from here...

I want to argue that because the balloon actually does manage to overcome gravity, it's change in volume must be pretty substantial (making the w = -PdV be what causes the balloon to go up). Maybe it's more substantial than the change in temperature, giving a large positive term due to volume in the entropy state equation listed above.

S

_{sys}> 0

However, if the system is being looked at as the balloon itself rather than the air inside the balloon, then when the balloon isn't inflated, it has more freedom of movement than after it's fully inflated and therefore more entropy, meaning that the final entropy change of the system would be negative.

If I am correct in guessing that this process is reversible AND in guessing that S

_{sys}> 0, then S

_{surr}< 0.

I would rather not have all of my answers to physical chemistry problems be guesses. How can I solve this problem without guessing? How can I know if my guesses are correct or not? How can I better approach this problem? It's possible that the correct answer to this problem is due to something that I have completely overlooked. How do I not overlook considerations while doing these types of problems?