Question

Write the mathmatical expression of the First Law of Thermodynamics for the following processes : (1) Isothermal `" "` (2) Adiabatic
(3) Isochoric `" "` (4) Isobaric

Answer 1

Mathematical expression of 1st law of thermodynamics for :
(1) Isothermal process : `Delta u=q+W`
`:. Delta u=0`
`W=-q`
(2) Adiabatic process :
`Delta u=q+W`
`:. q=0`
`Delta y=-W`
(3) Isochoric process :
`Delta u=q+W`
`:. W=-p_(ex)Delta v`
`Delta u=q-p_(ex) Delta v`
(4) Isobaric process :
`Delta u=q_(p)=p_(ex)Deltav`