Math Problem Statement

Determine the actual volume and composition of air required for the combustion of liquid hexane (C6H14), and calculate the temperature of combustion products given αb = 1.3, η = 0.25, and Q°obr. = 167.2 kJ/mol.

Solution

The task in the image is about calculating the actual volume and composition of air required for the combustion of liquid hexane (C6H14C_6H_{14}) and determining the temperature of combustion products. The key data includes:

  1. Combustion coefficient (αb\alpha_b): αb=1.3\alpha_b = 1.3
  2. Efficiency (η\eta): η=0.25\eta = 0.25
  3. Heat of formation of hexane combustion (Qobr.Q^\circ_{\text{obr.}}): 167.2kJ/mol167.2 \, \text{kJ/mol}
  4. Molecular formula of hexane: C6H14C_6H_{14}

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Math Problem Analysis

Mathematical Concepts

Stoichiometry
Thermodynamics
Combustion Chemistry

Formulas

Combustion reaction balance: C6H14 + (9.5αb)O2 → CO2 + H2O
Energy efficiency: η = Useful Energy Output / Total Energy Input
Heat of combustion: Q = η × Q°obr.

Theorems

Law of Conservation of Mass
First Law of Thermodynamics

Suitable Grade Level

University Level (Chemical Engineering or Chemistry)