Physical Chemistry: Estimating ΔG of an Ideal Gas

[Nick_273]

Homework Statement

Estimate ΔG for the process where one mol of ideal gas is subjected to an increase in
pressure from 1.00 atm to 11.0 atm at 25.0°C.

Homework Equations

ΔG=ΔH-TΔS
ΔH=C(p,m)(T_f-T_i

The Attempt at a Solution

Seems straight forward, but it seems i am not given enough information to complete the problem. I need C(p,m)? It does say estimate. Does that mean that i only need to imply that the Gibbs free energy will be possitive, negative, or 0?

If you can help me clarify the problem that would be greatly appreciated!

Thanks.

 

[Ygggdrasil]

Does the problem say whether the ideal gas is monatomic or diatomic?

 

[Nick_273]

No, it does not. Does this equation apply?

ΔG = nRTln(P_f/P_i)

I found it in my notes but can't find it anywhere in the text.

 

[Ygggdrasil]

Oh, for this case, you can actually still calculate ΔH even though you do not know the heat capacity of the gas.

 

[I like Serena]

Hi Nick_273!

No, it does not. Does this equation apply?

ΔG = nRTln(P_f/P_i)

I found it in my notes but can't find it anywhere in the text.

Yep, it applies (for an isothermal process on an ideal gas).