# Different Types Of Thermodynamic Process At A Glance

 S.No. Change or name of the process Isobaric Isochromic Isothermal Adiabatic 1. Definition P = Constant V = Constant T = Constant a) Q = Constant b) Entropy S = Constant 2. dQ 1. For solids dQ = mcpdT For gases ncvDt 2. For change in state dQ = mL 1. For solids dQ = mcvdT For gases ncvdT dQ = dW Zero 3. dU 1. dQ-pdV 2. dQ-nRdT dQ Zero -dW 4. dW 1. PdV 2. nRdT Zero 2.303n Rt log v₂/v₁ 2.303n p₁v₁ log v₂/v₁ 2.303n p₁v₁ log p₂/p₁ $\frac{R\left( {{T}_{2}}-{{T}_{1}} \right)}{1-\gamma }$ $\frac{\left( {{P}_{2}}{{V}_{2}}-{{P}_{1}}{{V}_{1}} \right)}{1-\gamma }$ 5. Equation of state V/T = Constant P/T = Constant PV = Constant P₁V₁ = P₂V₂ PVγ=constant TVγ-1=constant P1-γ Tγ=constant 6. Slope of p – v curve Zero ∞ -p/v – γP/v 7. Law Charle’s law Gay-lussac’s law Boyle’s law Poisson’s law 8. Form of First laws dQ = dU + dW = ncpdT + PdV dQ = dU = ncvdT dQ = dW = dV – dU = dW 9. Bulk modulus Zero Infinity -p -γp 10. Result of maximum work Maximum Zero Less from isobaric process but greater form adiabatic process Minimum but not zero

Example: A cylinder with a movable piston contains 3 moles of hydrogen at standard temperature and pressure. The walls of the cylinder are made of a heat insulator, and the piston is insulated by having a pile of sand on it. By what factor does the pressure of the gas increase if the gas is compressed to half its original volume?

Ans: As no heat is allowed to be exchanged, the process is adiabatic.

As V₂ = V₁/2.