Question

Difficulty: HardCarbon: Allotropes, Coal Distillation, and Industrial Fuel Gases

During industrial fuel gas manufacture, passing steam over incandescent coke yields water gas, whereas passing air over red-hot coke produces producer gas. Which of the following statements correctly explains why water gas possesses a significantly higher calorific value per unit volume than producer gas?

  1. Water gas consists entirely of combustible gases (CO\text{CO} and H2\text{H}_2), whereas producer gas contains a high percentage of non-combustible nitrogen (N2\text{N}_2) from air.Answer
  2. B
    The synthesis of water gas is an exothermic reaction that traps excess chemical enthalpy directly inside the resulting gas molecules.
  3. C
    Producer gas primarily consists of carbon(IV) oxide (CO2\text{CO}_2) and steam (H2O\text{H}_2\text{O}), which impede active combustion.
  4. D
    Water gas contains high concentrations of hydrocarbon allotropes of carbon that release double the combustion energy of carbon(II) oxide.

Answer

Water gas possesses a higher calorific value because both of its major constituents, carbon(II) oxide (CO\text{CO}) and hydrogen (H2\text{H}_2), are flammable fuel gases. In contrast, producer gas contains approximately 60%60\% atmospheric nitrogen (N2\text{N}_2), an inert, non-combustible gas that dilutes the energy density.
Water gas is synthesized by passing steam over incandescent coke at around 1000C1000^\circ\text{C}, producing an equimolar mixture of carbon(II) oxide and hydrogen gas (CO+H2\text{CO} + \text{H}_2). Since both constituent gases burn in air releasing substantial heat, 100%100\% of the gas volume is combustible. Producer gas, made by passing air over red-hot coke (2C+O2+3.76N22CO+3.76N22\text{C} + \text{O}_2 + 3.76\text{N}_2 \rightarrow 2\text{CO} + 3.76\text{N}_2), contains nearly 60%60\% atmospheric nitrogen by volume. Nitrogen is non-combustible and absorbs heat during combustion, resulting in a substantially lower calorific value for producer gas.

Step-by-Step Solution

1
Analyze the chemical composition of water gas
Water gas is formed via C(s)+H2O(g)CO(g)+H2(g)\text{C}(s) + \text{H}_2\text{O}(g) \rightarrow \text{CO}(g) + \text{H}_2(g). Both CO\text{CO} and H2\text{H}_2 are active fuels.
Determining the active combustible components in water gas.
2
Analyze the chemical composition of producer gas
Producer gas is formed via 2C(s)+O2(g)+3.76N2(g)2CO(g)+3.76N2(g)2\text{C}(s) + \text{O}_2(g) + 3.76\text{N}_2(g) \rightarrow 2\text{CO}(g) + 3.76\text{N}_2(g). Atmospheric N2\text{N}_2 remains unreacted.
Identifying the non-combustible diluent present in producer gas.
3
Compare the heating values based on composition
Because nearly 100%100\% of water gas contributes to combustion energy while over half of producer gas consists of inert N2\text{N}_2, water gas has a higher calorific value per unit volume.
Connecting molecular composition to volumetric calorific energy yield.

Key Concept

Industrial Fuel Gas Compositions and Calorific Values
Estimated Time:1m 30s
Rate this question