What's the use of density here?

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The discussion revolves around calculating the change in internal energy of ethane given specific pressure, volume, and density values. The initial and final pressures are 95 kPa and 190 kPa, respectively, with a change in enthalpy of -2.96 kJ. The equation W = pVln(P1/P2) is used to derive work done, resulting in zero change in internal energy when applying the first law of thermodynamics. The constant pV condition suggests non-ideal gas behavior, leading to questions about the problem's consistency. Clarification is sought on whether the density refers to the initial state and if the discussion is focused on ideal versus non-ideal gas behavior.
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Pressure initial: 95 kPa
Final pressure: 190 kPa
Change in enthalpy: -2.96 kJ
Initial volume: 0.045 cu.meter
Density: 1.11 kg/cu.meter
pV=c
 
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turtleGuy said:
Pressure initial: 95 kPa
Final pressure: 190 kPa
Change in enthalpy: -2.96 kJ
Initial volume: 0.045 cu.meter
Density: 1.11 kg/cu.meter
pV=c
Is there some sort of problem statement here?
 
Chestermiller said:
Is there some sort of problem statement here?

Oh. Sorry...
The problem is "What is the change in internal energy of ethane
 
What are your thoughts on this?
 
Chestermiller said:
What are your thoughts on this?

I don't think it has any use.

W=pVln(P1/P2)
W=(95)(0.045)ln(95/190)
W=-2.96 kJ
Then,
Using : ΔU=Q-W
=-2.96kJ - (-2.96kJ)
=0 kJ

But I'm not sure about it
 
Are you sure they said pV=c? Because, if that's so, then ##\Delta (pV)=0##, which means that ##\Delta U=\Delta H-\Delta (pV)=\Delta H##. That would suggest non-ideal gas behavior. Are you currently learning about non-ideal gas behavior?

Do they give any indication of which state the density refers to, initial or final? Are there additional parts to this problem statement?
 
yeah they only said pV=constant. The density is on the Initial.
 
turtleGuy said:
yeah they only said pV=constant. The density is on the Initial.
pV being constant means that ##\Delta U=\Delta H##. But, if these both are not equal to zero, that means that the behavior is inconsistent with the behavior of an ideal gas. So either, the gas is behaving non-ideally or there is inconsistency in the problem statement. So I ask again, are you currently learning about the behavior of non-ideal gases, or are you only covering ideal gases now?
 
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