A chemical engineer is studying the two reactions shown in the table below. In each case, she fills a reaction vessel with some mixture of the reactants and products at a constant temperature of 57.0 °C and constant total pressure. Then, she measures the reaction enthalpy í and reaction entropy As of the first reaction, and the reaction enthalpy AH and reaction free energy AG of the second reaction. The results of her measurements are shown in the table. Complete the table. That is, calculate ▲g for the first reaction and as for the second. (Round your answer to zero decimal places.) Then, decide whether, under the conditions the engineer has set up, the reaction is spontaneous, the reverse reaction is spontaneous, or neither forward nor reverse reaction is spontaneous because the system is at equilibrium. AH-1353. kJ J AS-4109. 9. Do

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### Calculating ΔG from ΔH and ΔS

#### Problem Statement

A chemical engineer is studying the two reactions shown in the table below.

In each case, she fills a reaction vessel with some mixture of the reactants and products at a constant temperature of 57.0 °C and constant total pressure. Then, she measures the reaction enthalpy ΔH and reaction entropy ΔS of the first reaction, and the reaction enthalpy ΔH and reaction free energy ΔG of the second reaction. The results of her measurements are shown in the table.

Complete the table. That is, calculate ΔG for the first reaction and ΔS for the second. (Round your answer to zero decimal places.) Then, decide whether, under the conditions the engineer has set up, the reaction is spontaneous, the reverse reaction is spontaneous, or neither forward nor reverse reaction is spontaneous because the system is at equilibrium.

#### Table of Reactions and Measurements

- #### First Reaction:

  \[
  2C_2H_5OH_{(g)} + 3O_2_{(g)} \leftrightarrow 2CO_2_{(g)} + 4H_2O_{(g)} 
  \]

  \[
  \Delta H = -1353. \: \text{kJ}
  \]
  \[
  \Delta S = -410.9 \: \frac{J}{K}
  \]
  \[
  \Delta G = \: \text{[Calculated Value]} \: \text{kJ}
  \]
  - Which is spontaneous?
    - [ ] this reaction
    - [ ] the reverse reaction
    - [ ] neither

- #### Second Reaction:

  \[
  3CO_2_{(g)} + 4H_2O_{(l)} \leftrightarrow C_8H_{18(g)} + 5O_2_{(g)}
  \]

  \[
  \Delta H = 2220 \: \text{kJ}
  \]

  \[
  \Delta S = \: \text{[Calculated Value]} \: \frac{J}{K}
  \]

  \[
  \Delta G = -33. \: \text{kJ}
  \]

  - Which is spontaneous?
    - [ ] this reaction
    - [ ] the reverse reaction
Transcribed Image Text:### Calculating ΔG from ΔH and ΔS #### Problem Statement A chemical engineer is studying the two reactions shown in the table below. In each case, she fills a reaction vessel with some mixture of the reactants and products at a constant temperature of 57.0 °C and constant total pressure. Then, she measures the reaction enthalpy ΔH and reaction entropy ΔS of the first reaction, and the reaction enthalpy ΔH and reaction free energy ΔG of the second reaction. The results of her measurements are shown in the table. Complete the table. That is, calculate ΔG for the first reaction and ΔS for the second. (Round your answer to zero decimal places.) Then, decide whether, under the conditions the engineer has set up, the reaction is spontaneous, the reverse reaction is spontaneous, or neither forward nor reverse reaction is spontaneous because the system is at equilibrium. #### Table of Reactions and Measurements - #### First Reaction: \[ 2C_2H_5OH_{(g)} + 3O_2_{(g)} \leftrightarrow 2CO_2_{(g)} + 4H_2O_{(g)} \] \[ \Delta H = -1353. \: \text{kJ} \] \[ \Delta S = -410.9 \: \frac{J}{K} \] \[ \Delta G = \: \text{[Calculated Value]} \: \text{kJ} \] - Which is spontaneous? - [ ] this reaction - [ ] the reverse reaction - [ ] neither - #### Second Reaction: \[ 3CO_2_{(g)} + 4H_2O_{(l)} \leftrightarrow C_8H_{18(g)} + 5O_2_{(g)} \] \[ \Delta H = 2220 \: \text{kJ} \] \[ \Delta S = \: \text{[Calculated Value]} \: \frac{J}{K} \] \[ \Delta G = -33. \: \text{kJ} \] - Which is spontaneous? - [ ] this reaction - [ ] the reverse reaction
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