math practice problems worksheet

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Applications of the Equil. Constant

Predicting the direction of approach to equilibrium:

At 448C the equilibrium constant kc for the reaction H

2

(g) + I

2

(g) 2HI(g) is

50.5. Predict in which direction the reaction proceeds to reach equilibrium if we start with 2.0x10

-2 mol of HI, 1.0x10

-2 mol of H

2 container.

and 3.0x10

-2 mol I

2 in a 2.00L

-compare K to Q

Applications of the Equil. Constant

Predicting the direction of approach to equilibrium:

At 1000K the value of kp for the reaction 2SO

3

(g) 2SO

2

(g) + O

2

(g) is 0.338.

Calculate the value for Q p

P

SO2

= 0.41atm, P

O2 and predict the direction in which the reaction proceeds toward equilibrium if the initial partial pressures are P

SO3

= 2.5atm

= 0.16atm,

Calculating k

After a mixture of hydrogen and nitrogen gases in a reaction vessel is allowed to attain equilibrium at 427C, it is found to contain 7.38 atm H

2

, 2.46atm N

2 for the reaction N

2

(g) +

3

H2(g) 2NH

3 and 0.166atm

NH

3

. From these data, calculate the equilibrium constant k p

Calculating k

An aqueous solution of acetic acid is found to have the following equilibrium concentrations at 25C: [CH

3

COOH] = 1.65x10

-2 M, [H + ] = 5.44x10

-4 M,

[CH

3

COO ] = 5.44x10

-4 M. Calculate the equilibrium constant k c for the ionization of acetic acid at 25C.

CH

3

COOH(aq) H + (aq) + CH

3

COO (aq)

Calculating k Using Initial & Equilibrium

Concentrations

A closed system initially containing 1.000x10

-3 M H

2 and 2.000x10

-3 M I

2 at 448C is allowed to reach equilibrium and at the equilibrium the HI concentration is

1.87x10

-3 M. Calculate k c at 448C

More Calculations with k

For the Haber process, k p

=1.45x10

-5 at 500C. In an equilibrium mixture of the

3 gases at 500C, the partial pressure of H

2 is 0.928atm and that of N

2

0.432atm. What is the partial pressure of NH

3 is in this equilibrium mixture?

-would you use an ICE chart in this situation? why or why not?

More Calculations with k

At 500K the reaction PCl

5

(g) PCl

3

(g) + Cl

2

(g) has k p

= 0.497. In an equilibrium mixture at 500k, the partial pressure of PCl

5

PCl

3 is 0.350atm. What is the partial pressure of Cl

2 is 0.860 atm and that of in the equilibrium mixture?

More Calculations with k

A 1.000L flask is filled with 1.000mol of H

2

(g) and 2.000mol of I

2

(g) at 448C.

The value of the equilibrium constant K c for the reaction is 50.5. What are the equilibrium concentrations of H

2

, I

2

, and HI in moles per liter?

H

2

(g) + I

2

(g) 2HI(g)

More Calculations with k

For the equilibrium PCl

5

(g) PCl

3

(g) + Cl

2

(g), the equilibrium constant k p is

0.497 at 500K. A gas cylinder at 500K is charged with PCl

5

(g) at an initial pressure of 1.66atm. What are the equilibrium pressures of PCl

5

, PCl

3

, and Cl

2 at this temperature?

I Hate Quadratic Equations!!!!

Do you really have to use it?

Maybe not!

-if the subtraction of x would cause less than a 5% change in the concentration, then it can be ignored!

-Easy way to tell: divide the concentration given in the problem by the given k. If the answer is greater than

100, then x can be ignored

ICE without Quadratic Equation

Given kc = 2.06x10

-9 at 25C. What is the equilibrium concentration of H+ if the initial concentration of HOBr is 1.25M. HOBr(aq) OBr (aq) + H + (aq)

Another K

As if there weren’t enough k’s… k sp

= solubility product constant

-refers to solids dissolving in aqueous solution

Given: Cu(IO

3

)

2 dissolves in water to form Cu is the concentration of Cu 2+ at equilibrium?

2+ and 2IO 3. If k sp

= 1.4x10

-7 what

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