Partial Pressures: Just a Few Questions

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The discussion revolves around calculating partial pressures in two equilibrium reactions involving ammonia and ammonium carbamate. For the ammonia synthesis reaction at 700K, the equilibrium constant Kp is given as 1.00*10^-4 atm-2, with the partial pressure of NH3 at 50 atm. Participants are attempting to derive the partial pressures of N2 and H2 using the stoichiometric ratio of 1:3, leading to confusion with the cubic relationship of H2's pressure. In the second part, the equilibrium of ammonium carbamate at 250°C is analyzed, with Kc provided as 1.58*10^-8 M^3, and participants are tasked with finding the total partial pressure after introducing a specific mass into a container. The discussion highlights the complexities of equilibrium calculations and the importance of correctly applying stoichiometric ratios.
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Just a few questions I'm having trouble with.

1.Ammonia is formed from nitrogen and hydrogen according to the following equlibrium reaction:

N2(g)+3H2(g)-->2NH3(g)

The plant operates close to 700K, at which Kp is 1.00*10^-4 atm-2 and employs the stoiciometric ratio 1:3 of N2:H2. At equilibrium, the partial pressure of NH3 is 50 atm. Calculate the partial pressures of the each reactant.

2.Ammonium carbamate (NH2COONH4) is a salt of carbamic acid that is found in the blood and urine of mammals. At 250c, Kc=1.58*10^-8 M^3 for the following equilibrium:

NH2COONH4 (s) <---> 2NH3 (g) + CO2 (g)

If 7.81g of NH2COONH4 is introduced into a 0.500L evacuated container, what is the total partial pressure inside the container at equilibrium at 250c?

Thanks.
 
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1. Kp = (Partial Pressure NH3)^2 / ((PP N2) * (PP H2)^3)

2. Kc = [NH3]^2 * [CO2]

That should get you started.
 
For 1., I got to [N2]*

^3=2.5*10^7 then I just got lost. I know the ratio is 1:3, but that cubed hydrogen has really put me off.

 
for ever x atm of N2 there are 3x atm of H2. So (x)(3x)^3=2.5*10^7
 
So you get 3x^4=2.5*10^7
x= 53.73?

If that's what you meant, apparently it's the wrong answer for N2.
 
it would be 27x^4=2.5*10^7, you forgot to cube the 3.
 
lol...thanks for that.
 
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