Ammonium hydrogen sulfide decomposes according to the following reaction, for which Kp = 0.11 at 250°C: NH4HS(s) ⇌ H2S(g) + NH3(g) If 46.5 g of NH4HS(s) is placed in a sealed 5.0−L container, what is the partial pressure of NH3(g) at equilibrium? PNH3 = atm

Respuesta :

Answer:

0,33atm

Explanation:

For the reaction:

NH₄HS(s) ⇌ H₂S(g) + NH₃(g)

kp is defined as:

kp = 0.11 = P(H₂S) P(NH₃) (1)

Where P(H₂S) and P(NH₃) are partial pressures of each compound.

In equilibrium, if in your system the only addition is of NH₄HS(s), the partial pressures and the concentration of each compound are:

NH₄HS: I - x

-Where I is an initial concentration that is not relevant for the problem and x is the NH₄HS that reacts-

H₂S(g): x

NH₃(g): x

Replacing in (1):

0.11 = X×X

0.11 = X²

0.33 = X

That means P(NH₃) is 0.33 atm

I hope it helps!

The partial pressure of NH3(g) is  0.33 atm.

Number of moles of NH4HS = 46.5 g/51 g/mol = 0.91 moles

Given that;

PV =nRT

P = ?

V = 5.0−L

n =  0.91 moles

R = 0.082 atm LK-1mol-1

T =  250°C + 273 = 523 K

Making P the subject of the formula;

P = nRT/V

P = 0.91 moles ×  0.082 atm LK-1mol-1 × 523 K / 5.0−L

P = 7.8 atm

We must now set up the ICE table;

              NH4HS(s) ⇌   H2S(g)     +          NH3(g)

I            7.8 atm              0                           0

C           -x                      +x                          +x

E          7.8 - x               x                            x

We know that;

Kp = pH2S  × pNH3

Note that NH4HS is a pure solid and does not get into the equation

Kp = 0.11

0.11 = x^2

x = √0.11

x = 0.33 atm

Since partial pressure of H2S = partial pressure of NH3 = x

The partial pressure of NH3(g) = 0.33 atm.

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