Work done compressing ideal gas from 1 atm to 0.5 atm at constant external pressure

[quietrain]

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)(V_f-V_i) = -p(RT/p_f - RT/p_i) = 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 (V_f-V_i)

thanks!

 

[Hootenanny]

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)(V_f-V_i) = -p(RT/p_f - RT/p_i) = 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 (V_f-V_i)

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?

 

[quietrain]

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)?

 

[Hootenanny]

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.

 

[quietrain]

ok thank you!