Calculate the value of ΔUrxn ^∘ at 25^∘ C for the reaction equation Cu(s)+Cl2(g) →CuCl2(s)

Name: Problem 13, Chapter 14: General Chemistry
Uploaded: 2021-10-13T08:24:30-08:00
Duration: 1 min 35 s
Channel: Adriano Chikande
Description: Calculate the value of ΔUrxn ^∘ at 25^∘ C for the reaction equation Cu(s)+Cl2(g) →CuCl2(s) ΔHrxn^∘ =-220.1 kJ ·mol^-1

step 1 In this question we've been asked to determine the standard change in internal energy of this re

Question

Calculate the value of $\Delta U_{\text {rxn }}^{\circ}$ at $25^{\circ} \mathrm{C}$ for the reaction equation $$ \begin{aligned} \mathrm{Cu}(s)+\mathrm{Cl}_{2}(g) \rightarrow \mathrm{CuCl}_{2}(s) & \\ \Delta H_{\mathrm{rxn}}^{\circ} &=-220.1 \mathrm{~kJ} \cdot \mathrm{mol}^{-1} \end{aligned} $$

    Calculate the value of $\Delta U_{\text {rxn }}^{\circ}$ at $25^{\circ} \mathrm{C}$ for the reaction equation
$$
\begin{aligned}
\mathrm{Cu}(s)+\mathrm{Cl}_{2}(g) \rightarrow \mathrm{CuCl}_{2}(s) & \\
\Delta H_{\mathrm{rxn}}^{\circ} &=-220.1 \mathrm{~kJ} \cdot \mathrm{mol}^{-1}
\end{aligned}
$$

General Chemistry

Donald A. McQuarrie,… 4th Edition

Chapter 14, Problem 13

Instant Answer

Solved by Expert Adriano Chikande

10/13/2021

Step 1

The reaction is given as: $$ \mathrm{Cu}(s)+\mathrm{Cl}_{2}(g) \rightarrow \mathrm{CuCl}_{2}(s) $$ The change in moles is calculated as the difference between the number of moles of products and reactants. In this case, we have 1 mole of CuCl2 produced and 1 mole Show more…

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Calculate the value of $\Delta U_{\text {rxn }}^{\circ}$ at $25^{\circ} \mathrm{C}$ for the reaction equation $$ \begin{aligned} \mathrm{Cu}(s)+\mathrm{Cl}_{2}(g) \rightarrow \mathrm{CuCl}_{2}(s) & \\ \Delta H_{\mathrm{rxn}}^{\circ} &=-220.1 \mathrm{~kJ} \cdot \mathrm{mol}^{-1} \end{aligned} $$

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Key Concepts

Relationship between Enthalpy and Internal Energy

This concept involves understanding that while enthalpy (H) is a measure of the total heat content of a system at constant pressure, internal energy (U) accounts for both the heat and the work done by the system. The relationship is given by ?U = ?H - ?(pV), which for reactions involving gases can be further expressed as ?U = ?H - ?n_gasRT, where ?n_gas is the change in the number of moles of gas, R is the ideal gas constant, and T is the temperature in Kelvin.

Change in Number of Gas Moles (?n_gas)

This concept is crucial for applying the relationship between enthalpy and internal energy in reactions that involve gases. ?n_gas is determined by subtracting the total moles of gaseous reactants from the total moles of gaseous products. Since solids and liquids do not contribute to volume work in the same manner as gases, only the change in gas moles affects the work term represented by RT in the ?U calculation.

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