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Could I get a step by step explanation and answer to 3 and 4 please? 3. Nitrogen

ID: 1025195 • Letter: C

Question


Could I get a step by step explanation and answer to 3 and 4 please?
3. Nitrogen trifluoride decomposes to form nitrogen and fluorine gases according to the following equation: 2NFdg)- N2(g) + 3F2(g) When 2.06 mol of NFs is placed in a 2.00-L container and allowed to come to equilibrium at 800 K, the mixture is found to contain 0.0227 mol of N2. What is the value of K at this temperature? a) 1.77 × 10-6 b) 4.43 x 10-7 c) 1.91 x 103 d) 1.83 x 103 e) 1.73 x 106 4. At 400 K, an equilibrium mixture of H2, 12, and HI consists of 0.054 mol Ha, 0.019 mol Ib, and 0.059 mol HI in a 1.00-L flask. What is the value of Ke for the following equilibrium? (R-0.0821 L-atm/(K·mol)) 2HI(g) H2(g)+ 12(g) a) 3.4 b) 21 c) 0.29 d) 0.017 e) 58

Explanation / Answer

[NF3]   = no of moles of NF3 /volume in L
        = 2.06/2 = 1.03M
[N2]    = no of moles of NF3 /volume in L
        = 0.0227/2 = 0.01135M
         2NF3(g) -------------> N2(g) + 3F2(g)
I         1.03                  0       0
C         -2*0.01135            0.01135 3*0.01135
E         1.0073                0.01135 0.03405
Kc = [N2][F2]^3/[NF3]^2
      = 0.01135*(0.03405)^3/(1.0073)^2
      = 4.4*10^-7
Dn = (1+3)-2 = 2
Kp   = Kc(RT)^Dn
Kp    = 4.42*10^-7 (0.0821*800)^2   = 1.91*10^-3
c. 1.91*10^-3

2HI(g) ---------> H2(g) + I2(g)
     [H2] =0.054mole/1L = 0.054M
      [I2] = 0.019/1 = 0.019M
      [HI] = 0.059/1 = 0.059M
     Kc = [H2][I2]/[HI]^2
          = 0.054*0.019/(0.059)^2   
         = 0.29
Dn = (1+1)-2 = 0
   
    Kp = Kc(RT)^Dn
         = 0.29(0.0821*400)^0
          = 0.29
c. 0.29