J.R. S. answered 06/06/20
Ph.D. University Professor with 10+ years Tutoring Experience
When the system is at constant pressure, we have the following relationship:
work = -pressure x change in volume
w = -P∆V (note the minus sign in front of the P∆V)
By convention,
if w is negative, the system is doing work on the surroundings i.e. work done by the system
if w is positive, the surrounding is doing work on the system, i.e. work done on the system
if w is zero, no work is done.
CH4(g)+2O2(g)⟶CO2(g)+2H2O(g)
3 moles gas on left and 3 moles gas on right. No change in volume. No work done.
NH3(g)+HCl(g)⟶NH4Cl(s)
2 moles gas on left and no moles gas on right. Volume will decrease making -P∆V positive. Work done on the system
NaHCO3(s)+HC2H3O2(aq)⟶NaC2H3O2(aq)+H2O(l)+CO2(g)
no moles of gas on the left and 1 mole gas on the right. Volume will increase making -P∆V negative. Work done by the system
2H2O2(g)⟶O2(g)+2H2O(g)
2 moles gas on the left and 3 moles gas on the right. Volume will increase making -P∆V negative. Work done by the system.