# Problem: Given the following equilibrium constants at 427ºC,Na2O(s) ⇌ 2Na(l) + 1/2 O2(g)                K 1 = 2 x 10 -25NaO(g) ⇌ Na(l) + 1/2 O2(g)                K 2 = 2 x 10 -5Na2O2(s) ⇌ 2Na(l) + O2(g)                K 3 = 5 x 10 -29NaO2(s) ⇌ Na(l) + O2(g)                K 4 = 3 x 10 -14determine the values for the equilibrium constants for the following reactions:b. NaO(g) + Na2O(s) ⇌ Na2O2(s) + Na(l)(Hint: When reaction equations are added, the equilibrium expressions are multiplied.)

🤓 Based on our data, we think this question is relevant for Professor Oliver's class at UCSC.

###### FREE Expert Solution

Target reaction → NaO(g) + Na2O(s) ⇌ Na2O2(s) + Na(l)

NaO(g Na(l) + 1/2 O2(g)                K2 = 2x10-5 → multiply equation by 2 → square

2 NaO(g 2 Na(l) + 2 O2(g)                K2 = (2x10-5)2  = 4x10-10

Na2O2(s 2Na(l) + O2(g)                K3 = 5x10-29  → reverse → take the reciprocal

2Na(l) + O2(g)   Na2O2(s)               K3-1 = 1/5x10-29 = 2x1028 ###### Problem Details

Given the following equilibrium constants at 427ºC,

Na2O(s) ⇌ 2Na(l) + 1/2 O2(g)                K 1 = 2 x 10 -25

NaO(g) ⇌ Na(l) + 1/2 O2(g)                K 2 = 2 x 10 -5

Na2O2(s) ⇌ 2Na(l) + O2(g)                K 3 = 5 x 10 -29

NaO2(s) ⇌ Na(l) + O2(g)                K 4 = 3 x 10 -14

determine the values for the equilibrium constants for the following reactions:

b. NaO(g) + Na2O(s) ⇌ Na2O2(s) + Na(l)

(Hint: When reaction equations are added, the equilibrium expressions are multiplied.)