What are the partial pressures of H2, Br2, and HBr at equilibrium?

In summary, the partial pressures of H2, Br2, and HBr at equilibrium are 24.5, 4.75*10^-4, and 156 respectively, with a final temperature of 1000K and a given delta H of -101.7 kJ for the reaction. The values were calculated using the formulas PV=nRT and Kc=Kp(RT)^n, with Pi(H2) as 78.121, Pi(Br2) as 102.575, and x as 78.121.
  • #1
mike1967
16
0

Homework Statement


at 1000K, Kp=1.2*10^6 and Delta H = -101.7 kJ for the reaction H2(g)+ Br2(g) <-->2HBr.

A 0.952 mol quantity of Br2 is added to a 1.00L reaction vessel that contains 1.25 mol of H2 gas at 1000K . What are the partial pressures of H2 ,Br2 ,HBr and at equilibrium?

Homework Equations


PV=nRT
Kc=Kp(RT)^n
Kc=products over reactants reased to power of stoichiometric coefficients

The Attempt at a Solution


P=nRT/v
Pi(H2)=(1.25)(.08206)(1000)=78.121
Pi(Br2)=(.952)(.08206)(1000)=102.575

2.1*10^6=((2x)^2)/(78.121-x)(102.575-x))

x=78.121

Pf(H2)=102.575-x=25.45
Pf(Br2)=78.121-x=0
Pf(HBr2)=2x=156.24

Mastering Chemistry rejected
 
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  • #2
I just skimmed so it is possible I missed something, but at first sight nothing cries "wrong!", apart from the significant digits in the final answer.

I wonder why they give delta H? It is not clear if the final temperature is still 1000K.
 
  • #3
It ends up they wanted
Pf(H2) as 24.5
Pf(Br2) as 4.75*10^-4
Pf(HBr) as 156
 

1. What is partial pressure in chemistry?

Partial pressure in chemistry refers to the pressure exerted by a single gas in a mixture of gases. It is a measure of the concentration of that gas in the mixture.

2. How is partial pressure related to Kp?

Kp, or the equilibrium constant in terms of partial pressures, is a mathematical expression that relates the partial pressures of the reactants and products in a chemical reaction at equilibrium. The partial pressures are used to calculate the value of Kp.

3. How do we calculate partial pressure from Kp?

To calculate the partial pressure from Kp, we use the ideal gas law, PV = nRT, where P is the partial pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature. We can rearrange this equation to solve for P and use the value of Kp to calculate the partial pressure.

4. What is the unit of measurement for partial pressure?

The unit of measurement for partial pressure is usually in units of pressure, such as atmospheres (atm), millimeters of mercury (mmHg), or pascals (Pa).

5. How does changing the temperature affect partial pressure from Kp?

According to the ideal gas law, changing the temperature will cause a change in the partial pressure of a gas if the volume and number of moles remain constant. As the temperature increases, the molecules in the gas have more kinetic energy and will collide more frequently with the walls of the container, resulting in an increase in pressure. The value of Kp will also change as the temperature changes, and this will affect the calculation of partial pressure.

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