Entropy Thermodynamics: Calculate ∆S for 1 Mol of Diatomic Gas

In summary, entropy in thermodynamics is a measure of the disorder or randomness in a system. It is calculated using the formula ∆S = Q/T, where ∆S is the change in entropy, Q is the heat added or removed from the system, and T is the temperature in Kelvin. Calculating ∆S for 1 mol of diatomic gas allows us to understand the change in entropy for a specific amount of gas in a given system, and make predictions about its behavior. The change in entropy (∆S) can vary for different types of gases, with monatomic gases having a lower ∆S compared to diatomic gases due to their simpler structure. Temperature also affects ∆S for a diatomic gas,
  • #1
Diamond101
25
0

Homework Statement


A sample consisting of 1 mol of a diatomic perfect gas with Cv,m = 3/2 R is heated from
100 ºC to 300 ºC at constant pressure. Calculate ∆S for the system.

Homework Equations


Cv,m = 3/2 R

The Attempt at a Solution


Cpm=Cvm +r because we want cp right isobaric
∆S= Cp ln T2/T1
= 5/2 . 8.314 . ln 573/373
=8.92 jk-1 correct or no
 
Physics news on Phys.org
  • #2
Seems ok.
 
  • Like
Likes Diamond101

1. What is entropy in thermodynamics?

Entropy is a measure of the disorder or randomness in a system. In thermodynamics, it is used to describe the amount of energy that is not available for work.

2. How is entropy calculated?

Entropy can be calculated using the formula ∆S = Q/T, where ∆S is the change in entropy, Q is the heat added or removed from the system, and T is the temperature in Kelvin.

3. What is the significance of calculating ∆S for 1 mol of diatomic gas?

Calculating ∆S for 1 mol of diatomic gas allows us to understand the change in entropy for a specific amount of gas in a given system. This can help us make predictions about the behavior of the gas and its surroundings.

4. How does ∆S change for different types of gases?

The change in entropy (∆S) can vary for different types of gases depending on their molecular structure and interactions with their surroundings. For example, monatomic gases have a lower ∆S compared to diatomic gases due to their simpler structure.

5. How does temperature affect ∆S for a diatomic gas?

Temperature has a direct impact on the change in entropy (∆S) for a diatomic gas. As temperature increases, the gas molecules have more energy and can move more freely, leading to an increase in ∆S. Conversely, as temperature decreases, ∆S decreases as the gas molecules have less energy and move less randomly.

Similar threads

  • Biology and Chemistry Homework Help
Replies
6
Views
2K
  • Biology and Chemistry Homework Help
Replies
8
Views
2K
  • Biology and Chemistry Homework Help
Replies
6
Views
3K
  • Biology and Chemistry Homework Help
Replies
7
Views
2K
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
10
Views
1K
  • Biology and Chemistry Homework Help
Replies
1
Views
1K
Replies
1
Views
2K
Replies
22
Views
2K
  • Biology and Chemistry Homework Help
Replies
1
Views
2K
Back
Top