Consider the steps in coal gasification: C(coal) + H2O(g) → CO(g) + H2(g) ΔH°rxn = 129.7 kJ CO(g) + H2O(g) → CO2(g) + H2(g) ΔH°rxn = -41 kJ CO(g) + 3H2(g) → CH4(g) + H2O(g) ΔH°rxn = -206 kJ Calculate the heat of reaction, ΔH°rxn, for overall reaction for the production of methane, CH4.

Question

28-01-2020
Chemistry

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Consider the steps in coal gasification: C(coal) + H2O(g) → CO(g) + H2(g) ΔH°rxn = 129.7 kJ CO(g) + H2O(g) → CO2(g) + H2(g) ΔH°rxn = -41 kJ CO(g) + 3H2(g) → CH4(g) + H2O(g) ΔH°rxn = -206 kJ Calculate the heat of reaction, ΔH°rxn, for overall reaction for the production of methane, CH4.

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joseaaronlara joseaaronlara · Answer 1 · 2020-01-28T01:50:46+01:00

Answer:

The answer to your question is ΔHrxn = 0 kJ

Explanation:

Process

1.- Multiply Equation 1 by 2

2C(coal) + 2H₂O ⇒ 2CO (g) + 2H₂ ΔH rxn = 259.4 kJ

2.- Sum equation 2

CO(g) + H₂O ⇒ CO₂ (g) + H₂ (g) ΔHrxn = -41 kJ

Result

2C + 3H₂O + CO ⇒ 2CO + 3H₂ + CO₂ ΔHrxn = 218.4 kJ

Simplification

2C + 3H₂O ⇒ CO + 3H₂ + CO₂

3.- Sum equation 3

CO(g) + 3H₂ (g) ⇒ CH₄ (g) + H₂O (g) ΔHrxn = -218.4 kJ

Result

2C + 3H₂O + 3H₂ + CO ⇒ CO + 3H₂ + CO₂ + CH₄ + H₂O

Simplification

2C + 2H₂O ⇒ CO₂ + CH₄ ΔHrxn = 0 kJ

Abdulazeez10 Abdulazeez10 · Answer 2 · 2021-11-01T16:44:52+01:00

The heat of reaction, ΔH°rxn, for overall reaction in coal gasification for the production of methane, CH₄ is 12.4 kJ

From the question,

We are to determine the heat of reaction for overall reaction for the production of methane in coal gasification

The equation for the reaction of coal gasification is

2C(coal) + 2H₂O → CO₂ + CH₄

From the question,

We have the following equations of reactions

(1) C(coal) + H₂O(g) → CO(g) + H₂(g) ΔH°rxn = 129.7 kJ

(2) CO(g) + H₂O(g) → CO₂(g) + H₂(g) ΔH°rxn = -41 kJ

(3) CO(g) + 3H₂(g) → CH₄(g) + H₂O(g) ΔH°rxn = -206 kJ

Multiply (1) by 2 to get

(4) 2C(coal) + 2H₂O(g) → 2CO(g) + 2H₂(g) ΔH°rxn = 259.4 kJ

Now, adding equations (2), (3), and (4), we get

(2) CO(g) + H₂O(g) → CO₂(g) + H₂(g) ΔH°rxn = -41 kJ

(3) CO(g) + 3H₂(g) → CH₄(g) + H₂O(g) ΔH°rxn = -206 kJ

(4) 2C(coal) + 2H₂O(g) → 2CO(g) + 2H₂(g) ΔH°rxn = 259.4 kJ

--------------------------------------------------------------------------------------------------

2C(coal) + 2H₂O(g) → CH₄(g) + CO₂(g) ΔH°rxn = 12.4 kJ

Hence, the heat of reaction, ΔH°rxn, for overall reaction in coal gasification for the production of methane, CH₄ is 12.4 kJ

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