Calculate Work Done on 1 Mole of Ideal Gas at Constant Pressure | 298K

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Homework Help Overview

The discussion revolves around calculating the work done on 1 mole of an ideal gas during compression from 1 atm to 0.5 atm at a constant temperature of 298K, while subjected to a constant external pressure of 1 atm. Participants are examining the implications of these conditions on the work calculation.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply the work formula for gas compression but questions the assumption that temperature remains constant. They seek clarification on how to determine the change in volume (Vf - Vi) under these conditions.

Discussion Status

Participants are actively questioning the setup of the problem, particularly the consistency between the stated change in pressure and the assertion of constant pressure. Some express confusion regarding the terminology used in the problem statement.

Contextual Notes

There appears to be a discrepancy in the problem statement regarding the relationship between pressure and volume, leading to uncertainty about the correct interpretation of the variables involved.

quietrain
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Homework Statement



calculate work done to compress 1mole of ideal gas from 1atm to 0.5atm at 298K
where it is subjected to constant external pressure of 1atm

Homework Equations


Won = -Integral pdV = -(1atm)(Vf-Vi) = -p(RT/pf - RT/pi) = 2270J

where i have assumed T does not change, is it correct to assume so?

because i read that T changes proportionally with V, if so, how do i find what is my (Vf-Vi)

thanks!
 
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quietrain said:

Homework Statement



calculate work done to compress 1mole of ideal gas from 1atm to 0.5atm at 298K
where it is subjected to constant external pressure of 1atm

Homework Equations


Won = -Integral pdV = -(1atm)(Vf-Vi) = -p(RT/pf - RT/pi) = 2270J

where i have assumed T does not change, is it correct to assume so?

because i read that T changes proportionally with V, if so, how do i find what is my (Vf-Vi)

thanks!
Are you sure that you have the question copied correctly. In particular, could you check that the two highlighted quantities should not be volumes?
 
yes that's what the question wrote

thats why i found it strange.

shouldn't it be vol, so that its just P(vf-vi)?
 
quietrain said:
yes that's what the question wrote

thats why i found it strange.

shouldn't it be vol, so that its just P(vf-vi)?
That would be my guess. There are two conflicting statements. The first specifies a change in pressure, whilst the second asserts a constant pressure.
 
ok thank you!
 

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