Physics
posted by Andrew Katz .
Use the PV diagram of a system. The units for P and V are atmospheric pressure atm and liter L. Process A to B and B to C are straight lines on it.
How much is the work done by the system from A to C in J?
Given these coordinates:(volume on the x, pressure on the y)
A: (1 Li, 3.0 atm)
B: (5 Li, 6.0 atm)
C: (11 Li, 4.5 atm)

A: p₁=3 atm =3.04•10⁵ Pa,
V₁=1 L = 10⁻³ m³;
B: p₂=6 atm = 6.08•10⁵ Pa,
V₂ =5L=5•10⁻³m³;
C: p₃= 4.5 atm = 4.56•10⁵ Pa,
V₃=11L = 11•10⁻³m³.
A>B:
W₁= 0.5(p₁+p₂)( V₂V₁) =
=0.5(3.04+6.08)•10⁵•(51)•10⁻³ =
=1824 J
B>C:
W₂ =0.5(p₂ +p₃)( V₃V₂) =
=0.5( 6.08+4.56)•10⁵•(115)•10⁻³ =
=3192 J
W= W₁+W₂ =1824 + 3192 =5016 J