At high temperature, the following reactions take place: C+CO2=2 CO and CO2+H2=CO+H2 O How many

step 1 Question is which what is not a reaction commonly associated with the carbon dioxide. So we are

At high temperature, the following reactions take place:...

At high temperature, the following reactions take place: $$ \mathrm{C}+\mathrm{CO}_{2}=2 \mathrm{CO} $$ and $$ \mathrm{CO}_{2}+\mathrm{H}_{2}=\mathrm{CO}+\mathrm{H}_{2} \mathrm{O} $$ How many components are there if we start with: (a) Arbitrary amounts of $\mathrm{C}, \mathrm{CO}_{2}$, and $\mathrm{H}_{2}$ ? (b) Arbitrary amounts of $\mathrm{C}, \mathrm{CO}_{2}, \mathrm{H}_{2}, \mathrm{CO}$, and $\mathrm{H}_{2} \mathrm{O} ?$

At high temperature, the following reactions take place:
$$
\mathrm{C}+\mathrm{CO}_{2}=2 \mathrm{CO}
$$
and
$$
\mathrm{CO}_{2}+\mathrm{H}_{2}=\mathrm{CO}+\mathrm{H}_{2} \mathrm{O}
$$
How many components are there if we start with:
(a) Arbitrary amounts of $\mathrm{C}, \mathrm{CO}_{2}$, and $\mathrm{H}_{2}$ ?
(b) Arbitrary amounts of $\mathrm{C}, \mathrm{CO}_{2}, \mathrm{H}_{2}, \mathrm{CO}$, and $\mathrm{H}_{2} \mathrm{O} ?$

Key Concepts

Stoichiometric Independence

The concept of stoichiometric independence involves the idea that the composition of the system can be expressed in terms of a set of species that are not linearly dependent on each other in terms of their elemental makeup. This is determined using the stoichiometric (or composition) matrix, where the rank of the matrix indicates the number of independent components. Even if more species are present, only this number of components is necessary to fully describe the system.

Degrees of Freedom in Chemical Equilibrium

Degrees of freedom are the number of independent variables (such as temperature, pressure, and composition variables) that can be changed without disturbing the equilibrium state in the system. They are directly related to the number of chemical components because the maximum number of independent composition variables is equal to the number of components. In equilibrium calculations, knowing the number of components helps determine the manipulable variables in the system.

Chemical Components

In chemical thermodynamics, the components of a system are defined as the minimum number of independent species (or combinations thereof) needed to describe the composition of every species present in the system. These components can be used to express any mixture or reaction product through appropriate linear combinations, and they form the basis for applying material balances such as the Gibbs phase rule.

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