Answer:
[tex]K_p= 0.00016[/tex]
Explanation:
The relation between Kp and Kc is given below:
[tex]K_p= K_c\times (RT)^{\Delta n}[/tex]
Where,
Kp is the pressure equilibrium constant
Kc is the molar equilibrium constant
R is gas constant
T is the temperature in Kelvins
Δn = (No. of moles of gaseous products)-(No. of moles of gaseous reactants)
For the first equilibrium reaction:
[tex]N_2_{(g)}+3H_2_{(g)}\rightleftharpoons2NH_3_{(g)} [/tex]
Given: Kc = 0.50
Temperature = [tex]400^oC=[400+273]K=673K[/tex]
R = 0.082057 L atm.mol⁻¹K⁻¹
Δn = (2)-(3+1) = -2
Thus, Kp is:
[tex]K_p= 0.50\times (0.082057\times 673)^{-2}[/tex]
[tex]K_p= 0.00016[/tex]