An engineer examining the oxidation of SO2 in the

Chapter 17, Problem 69P

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QUESTION:

An engineer examining the oxidation of \(\mathrm{SO}_{2}\) in the manufacture of sulfuric acid determines that \(K_{\mathrm{c}}=1.7 \times 10^{8} \text { at } 600 . \mathrm{K}\):

(a) At equilibrium, \(P_{\mathrm{SO}_{3}}=300\) atm and \(P_{\mathrm{O}_{2}}=100 . \mathrm{atm}\). Calculate \(P_{\mathrm{SO}_{2}}\).

(b) The engineer places a mixture of 0.0040 mol of \(\mathrm{SO}_{2}(\mathrm{g})\) and 0.0028 mol of \(\mathrm{O}_{2}(\mathrm{g})\) in a 1.0-L container and raises the temperature to 1000 K. At equilibrium, 0.0020 mol of \(\mathrm{SO}_{3}(\mathrm{g})\) is present. Calculate \(K_{\mathrm{c}}\) and \(P_{\mathrm{SO}_{2}}\) for this reaction at 1000. K.

Equation Transcription:

SO2

𝐾c = 1.7108 at 600. K

<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>P</mi><msub><mi>SO</mi><mn>3</mn></msub></msub><mo mathvariant="italic">&#xA0;</mo><mo>=</mo><mo>&#xA0;</mo><mn>300</mn><mo mathvariant="italic">.</mo></math>

<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>P</mi><msub><mi mathvariant="normal">O</mi><mn>2</mn></msub></msub></math> = 100

<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>P</mi><msub><mi>SO</mi><mn>2</mn></msub></msub></math>

SO2(g)

O2(g)

𝐾c

Text Transcription:

SO_2

K_c=1.7 times 10^8 at 600. K

P_SO_3 = 300

P_0_2=100

P_SO_2

SO_2(g)

O_2(g)

K_c

Questions & Answers

QUESTION:

An engineer examining the oxidation of \(\mathrm{SO}_{2}\) in the manufacture of sulfuric acid determines that \(K_{\mathrm{c}}=1.7 \times 10^{8} \text { at } 600 . \mathrm{K}\):

(a) At equilibrium, \(P_{\mathrm{SO}_{3}}=300\) atm and \(P_{\mathrm{O}_{2}}=100 . \mathrm{atm}\). Calculate \(P_{\mathrm{SO}_{2}}\).

(b) The engineer places a mixture of 0.0040 mol of \(\mathrm{SO}_{2}(\mathrm{g})\) and 0.0028 mol of \(\mathrm{O}_{2}(\mathrm{g})\) in a 1.0-L container and raises the temperature to 1000 K. At equilibrium, 0.0020 mol of \(\mathrm{SO}_{3}(\mathrm{g})\) is present. Calculate \(K_{\mathrm{c}}\) and \(P_{\mathrm{SO}_{2}}\) for this reaction at 1000. K.

Equation Transcription:

SO2

𝐾c = 1.7108 at 600. K

<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>P</mi><msub><mi>SO</mi><mn>3</mn></msub></msub><mo mathvariant="italic">&#xA0;</mo><mo>=</mo><mo>&#xA0;</mo><mn>300</mn><mo mathvariant="italic">.</mo></math>

<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>P</mi><msub><mi mathvariant="normal">O</mi><mn>2</mn></msub></msub></math> = 100

<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>P</mi><msub><mi>SO</mi><mn>2</mn></msub></msub></math>

SO2(g)

O2(g)

𝐾c

Text Transcription:

SO_2

K_c=1.7 times 10^8 at 600. K

P_SO_3 = 300

P_0_2=100

P_SO_2

SO_2(g)

O_2(g)

K_c

ANSWER:

Step 1 of 4

The equilibrium constants connect the concentrations of the products and reactants. In the expression of this constant, stoichiometric integers are significant.

The reaction quotient is also expressed in a similar way and comparing its value with the equilibrium constant it indicates the direction of equilibrium shift.

(a)

Given Data:

*The equilibrium pressure of oxygen, is 100 atm.

*The equilibrium pressure of oxygen, is 300 atm.

*The value of  is .

*The temperature is 600 K.

The given reaction is:

The equilibrium constant for partial pressures for the reaction is:

The value of the equilibrium constant for partial pressures can be obtained from:

Where

 is the equilibrium constant for molar concentrations.

R is the universal gas constant.

T is the temperature.

is the difference in moles in products and reactants.

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