Ap chem question?

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1 Answer
Mar 4, 2018

a.) NH_3
b.) P_(NH_3) = 1.80 atm and P_(HCl) = 0.838 atm
c.) P = 0.960 atm
d.) It should be closer to HCl's chamber and the distance of NH_3 should be about double that of HCl

Explanation:

a.) We want to know which one is limiting and which one is in excess for this. So we need to calculate moles of each reactant:

For NH_3:
5 / 17 = 0.294 moles

For HCl:
5/36.45 = 0.137 moles

So there will be excess NH_3 since NH_3 and HCl both have stoichiometric coefficients of 1.

b.) Let's use the ideal gas law for this, we want to find total pressure as the stopcock is opened, so:

P = (nRT)/V
P = (0.431/1000 * 82.05 * (273+25))/4 The R constant is in Latm/kmolK so we have to adjust the moles to be in kmols (divide by 1000)

P = 2.63 atm

Now partial pressures are dependent on mole fractions of each component, so the mole fraction of HCl is 0.137/0.431 = 0.318, multiply this by the total pressure to get P_(HCl) = 0.838 atm. Subtract this from total pressure to get the partial pressure of NH_3, P_(NH_3) = 1.80 atm

c.) Again we can use ideal gas law, but some parameters have changed, as we lost moles of gas. Now it looks like this:

P = (0.157/1000 * 82.05 * (273+25))/4
P = 0.960 atm

The 0.157 came from the excess moles of NH_3, or those unreacted

d.) Ammonium will form where the gases meet, so we need to determine how much volume the gases will take up. We can use the pressures to estimate it, NH_3 is pushing harder against HCl so it should be closer to HCl's side. The pressure fraction can help approximate more accurately, so:

P_(NH_3)/P_(HCl) = 2.148

So in the line NH_3's distance should be about twice HCl's distance, which is close to what you have marked up there.

Hope this helps!