`2AB_2(g)to2AB(g)+B_2(g)` lf the total pressure of the reaction mixture = P , number of moles of `B_2(g)=x` and equilibrium constant`=K_p`, then prove that, `x=((2K_p)/(P))^(1//3)` (Suppose, x<1)

At constant temperature, in a closed vessel the following equilibrium establishes during decomposition of NH_(4)Cl(s):NH_(4)Cl(s)to NH_(3)(g) +HCl (g) . If pressure of the equilibrium mixture=P and value of equilibrium constant =K_(p) , then show that P=2sqrt(K_(p)) .

At 986^(@)C , 3 mol of H_(2)O(g) and 1 mol of CO(g) react with each other according to the reaction, CO(g)+H_(2)O(g)hArr CO_(2)(g)+H_(2)(g) . At equilibrium, the total pressure of the reaction mixture is found to be 2.0 atm. If K_(c)=0.63 (at 986^(@)C ), then at equilibrium find (1) the number of moles of H_(2)(g) , (2) the partial pressure of each of the gases.

In the reaction, H_(2)(g)+I_(2)(g)hArr 2HI(g) , the value of equilibrium constant (K_(P)) changes with change in _____.

For the reaction, 2HI(g) iff H_2(g) +I_2 (g) the degree of dissociation ( alpha ) of HI (g) is related to the equilibrium constant, K_p by expression

AB(g)+1/2B_2(g) rarr AB_2(g) , equilibrium constant =K_1 2AB_2(g)rarr2AB(g)+B_2(g) , equilibrium constant =K_2 . Find the relation between K_1 and K_2

For the equilibrium AB(g) iff A(g) + B(g) K_p is equal to 4 times the total pressure. The number of moles of ‘A’ formed is

The total pressure at equilibrium of the reaction, XY(g)hArrX(g)+Y(g) is P . If the equilibrium constant for the reaction is K_p and K_p=P/8 , then the percent dissociation of XY is

At given temperature the reaction A_2(g)+B_2(g)hArr2AB(g) was started with 0.4 mol of A_2(g) and 0.6 mol of B_2(g) in a flask of volume 2 L. When the reaction achieved equilibrium, it was found that the reaction mixture contained 0.5 mol of AB. The equilibrium constant (K_c) for the reaction is-

The dissociation equilibrium of AB_2 gas is : 2AB_2(g) overset (rarr)(larr) 2AB(g)+ B_2(g) .the degree of dissociation of AB_2 (g) is x and x << 1. Establish the relation among the degree of dissociation (x), equilibrium constant (K_p) and'total pressure (P).