The mathematical equation for first law of thermodynamics is, ΔE=Q+W
(a) For isochoric process, ΔV=0 W=−PextΔV=0 ∴ΔE=Q
(b) For adiabatic process, Q=0 ΔE=W
(c) For isothermal process, ΔT=0
and ΔE=0 Q=−W
(d) For cyclic process, state functions like ΔE=0 Q=−W