## Enthalpy of Reaction at lower temperatures [ENDORSED]

Boltzmann Equation for Entropy: $S = k_{B} \ln W$

Carlos Gonzales 1H
Posts: 50
Joined: Fri Sep 29, 2017 7:05 am
Been upvoted: 1 time

### Enthalpy of Reaction at lower temperatures

Could someone please explain a little more why enthalpy of reaction has a bigger role at lower T? Thanks.

Rachel Formaker 1E
Posts: 86
Joined: Fri Sep 29, 2017 7:04 am
Been upvoted: 2 times

### Re: Enthalpy of Reaction at lower temperatures

At lower temperatures, enthalpy of a reaction (ΔH or qP) has a bigger influence on the entropy of a reaction because of this equation:
$\Delta S = \frac{q}{T}$

When T is lower, ΔS is larger, meaning that q had a larger effect on entropy.

For example, if q=10 and T=1, ΔS =10, but if q=10 and T=10, then ΔS=1

So a lower temperature (T) means that the heat transferred (q) has a greater impact on entropy (ΔS).

Juanyi Tan 2K
Posts: 33
Joined: Fri Sep 29, 2017 7:05 am

### Re: Enthalpy of Reaction at lower temperatures  [ENDORSED]

I find an explanation in the textbook to be helpful: just imagine how sneezing in a quiet environment will attract attention more than in a noisy environment. The energy transfer to a cool system where there is little thermal motion will result in a more noticeable change, leading to a greater entropy.

Return to “Third Law of Thermodynamics (For a Unique Ground State (W=1): S -> 0 as T -> 0) and Calculations Using Boltzmann Equation for Entropy”

### Who is online

Users browsing this forum: No registered users and 1 guest