Ask Question
ChemistryChemistry
4 May, 07:07

For the reaction: SO2 (g) + NO2 (g) ⇌ SO3 (g) + NO (g), the equilibrium constant, Kc, is 18.0 at 1200 °C. If 1.0 mole of SO2 and 2.0 moles of NO2 are placed in a 2.0 L container, what concentration of SO3 will be present at equilibrium?

+1
Answers (2)
  1. 4 May, 08:20
    0
    [SO₃] in the equilibrium, will be 0.47 M

    Explanation:

    First of all we state the equilibrium reaction:

    SO₂ (g) + NO₂ (g) ⇌ SO₃ (g) + NO (g)

    Intially we have 1 moles of sulfur dioxide and 2 moles of nitrogen dioxide.

    The stoichiometry is all 1:1.

    During the reaction x amount has reactend, then in the equilibrum I would have

    (1-x) moles of SO₂

    (2-x) moles of NO₂

    and there are formed x moles of SO₃ and x moles of NO

    The thing is that, we need molar concentrations, so all the values must be divided by 2L, the vessel volume

    Let's make the expression for Kc:

    Kc = [SO₃]. [NO] / [SO₂]. [NO₂]

    Kc = x/2. x/2 / (1-x) / 2. (2-x) / 2

    Kc = x²/4 / (1-x) (2-x) / 4 → (1-x) (2-x) = 2-x-2x+x² → 2-3x+x²

    18 = x²/4 / 2-3x+x²/4 → we cancel the 4 → 18 = x² / 2-3x+x²

    18 (2-3x+x²) = x² → 0 = 17x² - 54x + 36

    Let's solve the quadratic funtion:

    17 = a; - 54 = b; 36 = c → (-b + - √ (b²-4ac)) / 2a

    (-54 + - √ (-54² - 4. 17. 36)) / 2.36

    x1 = 0.95

    x2 = 2.22

    We take, the first value so the [SO₃] in the equilibrium, will be 0.95/2L = 0.47 M
  2. 4 May, 09:11
    0
    [SO3] = 0.476 M

    Explanation:

    Step 1: Data given

    Kc = 18.0 at 1200 °C

    Number of moles SO2 = 1.0 moles

    Number of moles NO2 = 2.0 moles

    Volume = 2.0 L

    Step 2: The balanced equation

    SO2 (g) + NO2 (g) ⇌ SO3 (g) + NO (g)

    Step 3: Calculate molarity

    Molarity = moles / volume

    Molarity SO2 = 1.0 mol / 2.0 L

    Molarity SO2 = 0.5 M

    Molarity NO2 = 2.0 mol / 2.0 L

    Molarity NO2 = 1.0 M

    Step 3: Initial concentrations

    [SO2] = 0.5M

    [NO2] = 1.0 M

    [SO3] = 0M

    [NO] = 0M

    Step 4: Concentration at equilibrium

    [SO2] = 0.5 - X M

    [NO2] = 1.0 - X M

    [SO3] = XM

    [NO] = XM

    Step 5: Calculate concentrations

    Kc = [SO3][NO] / [SO2][NO2]

    Kc = 18 = x² / ((0.5 - x) (1.0-x)

    x = 0.476

    [SO2] = 0.5 - 0.476 M = 0.024 M

    [NO2] = 1.0 - 0.476 M = 0.524 M

    [SO3] = XM = 0.476 M

    [NO] = XM = 0.476 M
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “For the reaction: SO2 (g) + NO2 (g) ⇌ SO3 (g) + NO (g), the equilibrium constant, Kc, is 18.0 at 1200 °C. If 1.0 mole of SO2 and 2.0 moles ...” in 📘 Chemistry if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers
You Might be Interested in
Who performed the oil-drop experiment?
Answers (2)
In nucleophilic acyl substitution: Group of answer choices: A. an SN2 reaction occurs. B. protonation of the carbonyl is followed immediately by loss of the leaving group. C. ester hydrolysis is followed by deprotonation. D.
Answers (1)
In a reversible reaction chemistry equilibrium is attained when the?
Answers (1)
Use the periodic to write the electron configuration for barium noble gas notation
Answers (1)
If i add water to 100 mL of a 0.75 M NaOH solution un til the final volume is 165mL what will the molarity of the diluted solution be
Answers (1)
New Questions in Chemistry
What is the name of a binary compound made up of lithium and chlorine?
Answers (1)
A scientist in London and a scientist in California both conducted independent investigations that produced similar results.
Answers (2)
When magnesium combines with oxygen, the reaction involves a. a conversion of protons into electrons. b. sharing of electrons between Mg and O. c. transfer of electrons from Mg to O. d. transfer of electrons from O to Mg.
Answers (1)
The activation energy for the reaction no2 (g) + co (g) ⟶no (g) + co2 (g) is ea = 100 kj/mol and the change in enthalpy for the reaction is δh = - 375 kj/mol.
Answers (1)
What process transform solar energy into chemical energy?
Answers (1)
Home » Chemistry » For the reaction: SO2 (g) + NO2 (g) ⇌ SO3 (g) + NO (g), the equilibrium constant, Kc, is 18.0 at 1200 °C. If 1.0 mole of SO2 and 2.0 moles of NO2 are placed in a 2.0 L container, what concentration of SO3 will be present at equilibrium?
Sign Up Forgot Password?