JEE Main20258 Apr 2025Evening ShiftChemistryIonic EquilibriumActual
The equilibrium constant for decomposition of H ₂ O ( g ) H ₂ O ( ~g ) H ₂( ~g )+ 1 2 O ₂( ~g ) ( G ^ =92.34 ~kJ ~mol ⁻¹ ) is 8.0 10⁻³ at 2300 K and total pressure at equilibrium is 1 bar. Under this condition, the degree of dissociation ( ) of water is ________ 10⁻² (nearest integer value). [Assume is negligible with respect to 1 ]
Correct answer
0
Step-by-step solution
aligned & H ₂ O ( g ) H _ 2( ~g ) + 1 2 O _ 2( ~g ) & t =0 1 ~mole & t = t _ eq 1- 2 & n _ T =1+ 2 1( 1) & k _ P = P _ H ₂ P _ O ₂ ^ 1 / 2 P _ H ₂ O = ( P ) ( 2 P )^ 1 2 (1- ) P & 8 10⁻³= ^ 3 / 2 2 & ^ 3 / 2 =8 2 10⁻³ & ^3=128 10⁻⁶ & = [3] 128 10⁻² & =5.03 10⁻² aligned