Another Equilibrium Question!

The following reaction is at equilibrium in a closed 20.0-L container. At equilibrium, the pressures of NH3 and HCl are both equal to 0.00552 atm, and the mass of NH4Cl (s) is 35.4 g. Calculate the equilibrium pressure of NH3 after 11.3 g of NH4Cl (s) is added to the container

NH4Cl(s) -> HCl(g) + NH3(g)

Not sure how to approach this problem, I've tried several methods..
And get stuck on them

I'm not sure if I should solve Kp first, which should be .00552*2 so Kp = .01104, but I get confused on how to use the mass of NH4Cl and when 11.3g of NH4Cl is added.

Kp, if you wish to calculate it is p^2 = 0.00552^2 but I'm not sure you need it. The problem is confusing to me too, I wonder if this is a trick question. Since NH4Cl is a solid, it does not enter into the equilibrium as long as there is a speck of NH4Cl solid present. Therefore, the pressures of the NH3 and HCl in the problem are those that exist over a bed of solid NH4Cl at the prescribed temperature. Adding more NH4Cl has no effect on the equilibrium EXCEPT for the volume in the 20.0 L container taken up by the added solid. If that takes up considerable volume, that will increase P and it would shift the equilibrium to the left. BUT, since there is no density given (to calculate a volume of the solid),and with no temperature listed you can't use pv = nRT to try to arrive at the number of moles present BEFORE and AFTER the 11.3 g has been added. So my thinking is that we ignore the small amount of volume taken up by the added solid and give the pressures as 0.00552 atm. Do you have a data base you key these answers to. If so, I'd like to know how this one turns out.

Yes i think this was a trick question, the solid just needs to be completely ignored. This question isn't part of a database unfortunately, just a practice question for exam

what is the mass in kilograms of 750.0mL of mercury at 25.0 C(d=13.5g/mL)

To solve this equilibrium problem, we need to consider the chemical equation and apply the principles of stoichiometry and the ideal gas law.

First, let's write the balanced chemical equation for the reaction:
NH4Cl(s) → HCl(g) + NH3(g)

We know that the initial equilibrium partial pressures of NH3 and HCl are both equal to 0.00552 atm. Now, we need to determine the equilibrium pressure of NH3 after adding 11.3 g of NH4Cl(s) to the container.

To approach this problem, we can follow these steps:

Step 1: Calculate the number of moles of NH4Cl added to the container.

To calculate the number of moles, we can use the formula:
moles = Mass / Molar mass

The molar mass of NH4Cl is calculated as follows:
NH4Cl = (1 * 14.01 g/mol) + (4 * 1.01 g/mol) + 35.45 g/mol
NH4Cl = 53.49 g/mol

Using this molar mass, we can calculate the number of moles of NH4Cl added:
moles = 11.3 g / 53.49 g/mol

Step 2: Use stoichiometry to determine the change in moles of NH3.

From the balanced equation, we can see that the stoichiometric coefficient of NH3 is 1. This means that for every 1 mole of NH4Cl that reacts, 1 mole of NH3 is produced. Since the reaction is at equilibrium, this means that the moles of NH3 will also change by the same amount.

Step 3: Calculate the new number of moles of NH3 at equilibrium.

We can calculate the new moles of NH3 by adding the change in moles to the initial number of moles of NH3.

Step 4: Use the ideal gas law to calculate the equilibrium pressure of NH3.

The ideal gas law is given by: PV = nRT

Since the reaction is in a closed container, the volume (V), temperature (T), and ideal gas constant (R) remain constant. Therefore, we can rewrite the ideal gas law as P = nRT / V.

Rearranging the equation, we get P = (n/V) * RT. Here, (n/V) represents the number of moles divided by the volume, which can be represented by the concentration, denoted as [NH3].

So, we obtain P = [NH3] * RT, where [NH3] represents the equilibrium concentration of NH3.

Finally, we can substitute the known values into the equation to find the equilibrium pressure of NH3.

I hope this breakdown helps you approach the problem correctly.