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Consider the formation of hydrogen fluoride: H2(g) + F2(g) 2HF(g) If a 2.4 L nic

ID: 482301 • Letter: C

Question

Consider the formation of hydrogen fluoride:

H2(g) + F2(g) 2HF(g)

If a 2.4 L nickel reaction container (glass cannot be used because it reacts with HF) filled with 0.0054 M H2 is connected to a 3.8 L container filled with 0.030 M F2. The equilibrium constant, Kp, is 7.8 x 1014 (Hint, this is a very large number, what does that imply?) Calculate the molar concentration of HF at equilibrium.

BONUS Suppose a 2.00 L nickel reaction container filled with 0.0072 M H2 is connected to a 5.00 L container filled with 0.158 M F2. Calculate the molar concentration of H2 at equilibrium.

Explanation / Answer

Given that 2.4 L nickel reaction container filled with 0.0054 M H2 is connected to a 3.8 L container filled with

0.030 M F2.

Total volume = 2.4 L + 3.8 L = 6.2 L

Moles of H2 = Molarity x volume = 0.0054 M x 2.4 L = 0.01296 mol

[H2] = 0.01296 mol/ 6.2 L = 2.09 x 10-3 M = 0.00209 M

Moles of F2 = Molarity x volume = 0.03 M x 3.8 L = 0.0114 mol

[F2] = 0.0114 mol/ 6.2 L = 0.01838 M

Hence,

H2(g) + F2(g) 2HF(g)

Initial 0.00209 mol 0.01838 mol 0

At equilibrium 0.00209 - X    0.01838 - X 2X

Then,

No of moles of H2 are less than F2. So, H2 is the limiting reagent.

So,

at equilibrium, concentratin of H2 will be zero.

Then, 0.00209 - X = 0

X = 0.00209 M

Therefore,

  molar concentration of HF at equilibrium =  2X = 2 x 0.00209 M = 0.00418 M