Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

One mole of $\mathrm{N}_{2}$ and three moles of $\mathrm{H}_{2}$ are placed in a flask at $375^{\circ} \mathrm{C}$. Calculate the total pressure of the system at equilibrium if the mole fraction of $\mathrm{NH}_{3}$ is $0.21 .$ The $K_{P}$ for the reaction is $4.31 \times 10^{-4}$

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

at equilibrium, $P_{\text {total }}=5.0 \times 10^{1}$ atm

Chemistry 102

Chapter 14

Chemical Equilibrium

Carleton College

Rice University

Drexel University

University of Kentucky

Lectures

10:03

In thermodynamics, a state of thermodynamic equilibrium is a state in which a system is in thermal equilibrium with its surroundings. A system in thermodynamic equilibrium is in thermal equilibrium, mechanical equilibrium, electrical equilibrium, and chemical equilibrium. A system is in equilibrium when it is in thermal equilibrium with its surroundings.

00:54

In chemistry, chemical equilibrium (also known as dynamic equilibrium) is a state of chemical stability in which the concentrations of the chemical substances do not change in the course of time due to their reaction with each other in a closed system. Chemical equilibrium is an example of dynamic equilibrium, a thermodynamic concept.

01:26

At a particular temperatur…

02:58

The value of $K_{\mathrm{p…

01:49

Ammonium hydrogen sulfide …

04:53

The equilibrium constant $…

07:34

So we want to know the total pressure. But we have one more of nitrogen in three moles of hydrogen in the palace equation for this means as follows. So the first thing we're not going to want to dio this make in ice table stands for the initial, the change and what it is equilibrium. So we know we start with sent another color. We start with one mole here, the removals here and initially we have no Mel's here as faras. The change knows we have minus just one X. Here is our coefficient is one here minus three x here since her coalition is three and that a positive two x on the product side and at equilibrium, then that means this is one minus x well, three minus three x mole and a positive two x mol the product. So looking at what we're given were given that the mole for action at equilibrium of the product miss equivalent to 0.21 And it's important to know that the mole fraction is the number of moles in this case of our product over the total moles. So since we know that this equals 0.21 We can do the equation. Has two ex here over. If we simplify the east to have them together, we get four minus to x. And if we are to solve this, this means that X is equivalent to 0.35 molds. Given this, we can now move on to find the mole fraction of and to and h two. So looking first at into we see that it would be the one minus X over four minus two x. Yes, this is the toll little holes we calculated here. So you know that this would be the same as one minus wait 35 all over. Four minus two times 35 which is equivalent to 0.2. Looking at each to hydrogen, we will juice to Mueller. Except that it is going to be three minus three x over total number of moles. And once we plug all that in, find it is zero point five. Not now. Find the total pressure for this balanced chemical equation. We're going to want to find KP, which is equivalent to the fresher of the product raised. How many moles we have over pressure of our first reaction times The partial pressure the horse second raised how many bowls we have. But in order to do this, we need to know the partial pressures of all the substances. So in order to find the partial pressure of let's start with our product first we use the value that we found. We were given this one. Excuse me and you just multiply it by the total pressure, which is what we're trying to find pressure of and to similar to what we found here 0.2 times the total pressure. And then similarly, we've done for the last two for hydrogen. You do the value we found here times the total pressure. Now we go to calculate KP. We were already told that KP is equivalent to 4.31 times 10 to the native for so we can plug in what we have. So 0.21 times the total pressure squared over zero point 59 times the total pressure cube times 0.2 times the total pressure raised to the power of one. And if you were to calculate this out, you would find that KP is equivalent to what we know. 4.31 times 10 to the negative four equals 1.7 divided by go down, all of it. We can see over the total pressure squared. And if we saw for the total pressure, we see that it is equivalent 2 50 a. T. M.

View More Answers From This Book

Find Another Textbook