Express the rate of the reaction 2C2H6 + 7O2 -> 4CO2 + 6H2O in terms of:

a. Delta [C2H6]
b. Delta [CO2]

Show work please

rate rxn = -1/2 delta[C2H6]

rate rxn = 1/4 delta[CO2]

-5280 J

Delta C2H6

To express the rate of the reaction in terms of changes in concentration, we can use the concept of stoichiometry and the balanced chemical equation. The balanced equation for the reaction is:

2C2H6 + 7O2 -> 4CO2 + 6H2O

a. To express the rate in terms of Δ[C2H6], we need to determine the stoichiometric coefficient of C2H6 in the balanced equation. It is 2, meaning that for every 2 moles of C2H6 consumed or produced, 4 moles of CO2 are produced. Therefore, the rate of the reaction, r, in terms of Δ[C2H6] can be expressed as:

r = -1/2 * (Δ[C2H6] / Δt)

The negative sign indicates that the concentration of C2H6 decreases over time during the reaction.

b. To express the rate in terms of Δ[CO2], we need to determine the stoichiometric coefficient of CO2 in the balanced equation. It is 4, meaning that for every 4 moles of CO2 produced, 2 moles of C2H6 are consumed. Therefore, the rate of the reaction, r, in terms of Δ[CO2] can be expressed as:

r = 2/4 * (Δ[CO2] / Δt) = 1/2 * (Δ[CO2] / Δt)

The coefficient 2/4 can be simplified to 1/2. The positive sign indicates that the concentration of CO2 increases over time during the reaction.