What are the applications of equilibrium constant?

The equilibrium showing dissociation of phosgene gas is given below: COCl_2(g) harr CO(g) + Cl_2(g) When a mixture of these three gases at equilibrium is compressed at constant temperature, what happens to the equilibrium constant for the reaction?

Derive the relation between equilibrium constants K_c and K_P for a general reaction aA + bB harr cC + dD at equilibrium.

Write the expression for equilibrium constant K_c for the following equilibrium. 2NOCl (g) harr 2NO (g) + Cl_2 (g)

Write the expression for equilibrium constant for the decomposition of NH_4Cl by the reaction. NH_4Cl gives NH_3+HCl

Write the expression for equilibrium constant K_c for the following equilibrium. CuSO_4.5H_2O_(s) harr CuSO_4.3H_2O_(s) + 2H_2O_(g)

Write the expression for equilibrium constant K_Theta for the following equilibrium. CuSO_4 .5H_2O_((g))harr CuSO_4 .3H_2O_(s)+2H_2O_(g)

Write the expression for equilibrium constant K_p for the following equilibrium CuSO_4. 5H_2O_((s))iff CuSO_4 . 3H_2O_((s))+2H_2O_((g))