Work formula Done by system vs on sytem

This forum made possible through the generous support of SDN members, donors, and sponsors. Thank you.

JohnTulisa

Full Member
7+ Year Member
Joined
May 7, 2016
Messages
66
Reaction score
13
e2b322f1c9.png

For this question, work is done ON the system.
We utilize the formula W = -PV
If the question changes the condition to work is done BY the system, do we change the formula to W= PV or keep it as W = - PV?
 
My understanding is this: the system doing work on the surroundings is Exothermic also known as a compression ( so negative sign) .... The surroundings doing work on the system is Endothermic ( so positive sign) also know as an expansion
 
Work = -PΔV = -P(Vf - Vi) regardless. What important is

1. If work done by the system on surrounding or gas expansion ΔV > 0, so -PΔV < 0
2. If work done by the surrounding on system or gas compression ΔV < 0, so -PΔV > 0

Ex 1: if a gas expands from 16 L to 40 L at a constant pressure of 4.0 atm...
Work = -PΔV = -4.0(40 - 16) = -96 J

Not
Work = PΔV = 4.0(40 - 16) = 96 J

Ex 2: if the work done by compression of a gas is 50 J then W = -50J
 
Last edited:
Top