Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

What is the value of [tex]\Delta G[/tex] at [tex]500 \, K[/tex] if [tex]\Delta H = 27 \, \text{kJ/mol}[/tex] and [tex]\Delta S = 0.09 \, \text{kJ/(mol \cdot K)}[/tex]?

A. [tex]\Delta G = 0 \, \text{kJ/mol}[/tex]
B. [tex]\Delta G = 72 \, \text{kJ/mol}[/tex]
C. [tex]\Delta G = -18 \, \text{kJ/mol}[/tex]
D. [tex]\Delta G = 26.9 \, \text{kJ/mol}[/tex]

Sagot :

GinnyAnswer
To find the value of [tex]\(\Delta G\)[/tex] at [tex]\(500 \, K\)[/tex] given [tex]\(\Delta H = 27 \, kJ / mol\)[/tex] and [tex]\(\Delta S = 0.09 \, kJ / ( mol \cdot K )\)[/tex], we use the Gibbs free energy equation:

[tex]\[ \Delta G = \Delta H - T \Delta S \][/tex]

1. Identify the given data:
- [tex]\(\Delta H = 27 \, kJ / mol\)[/tex]
- [tex]\(\Delta S = 0.09 \, kJ / ( mol \cdot K )\)[/tex]
- [tex]\(T = 500 \, K\)[/tex]

2. Substitute the values into the equation:

[tex]\[ \Delta G = 27 - 500 \times 0.09 \][/tex]

3. Calculate the product of [tex]\(T\)[/tex] and [tex]\(\Delta S\)[/tex]:

[tex]\[ 500 \times 0.09 = 45 \][/tex]

4. Subtract this product from [tex]\(\Delta H\)[/tex]:

[tex]\[ \Delta G = 27 - 45 \][/tex]

5. Perform the subtraction:

[tex]\[ \Delta G = -18 \, kJ / mol \][/tex]

So, the value of [tex]\(\Delta G\)[/tex] is [tex]\(-18 \, kJ / mol\)[/tex], which corresponds to option C:

C. [tex]\(\Delta G = -18 \, kJ / mol\)[/tex]
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.