First law of thermodynamics for open system

Question

1)(a) Write down the different laws of thermodynamics and their limitations?

(b) Deduce the first law of thermodynamics for the open system.

2) Enthalpy of the binary liquid system of species 1 and 2 of fixed T and P is represented by equation.

H = 400x₁+600x₂+x1x₂ (40x₁+20x₂)
Find out the numerical values for pure species enthalpies H₁ and H₂.

3) Determine the theoretical horse power needed to produce 400kg/hr of ice at 5^oC from water at 15^oC. Specific heat of ice and water are 2.1KJ/Kg.C and 4.2K/Kg.C and latent heat of fusion of ice is 320KJ/Kg. Suppose reversed carnot cycle.

4) Design neat and suiatble diagram for absorption refrigeration cycle and describe its working.

5)(a) Describe law of corresponding states in detail.

(b) Deduce a+b in terms of critical properties for Vander walls equation.