Calculating Change in Entropy: 1100 kg Cars Colliding at 75km/hr

In summary, to estimate the change in entropy of the universe as a result of the collision between two 1100 kg cars traveling at 75 km/hr in opposite directions and brought to rest, one can use the relationship ∆S=k*log(w), where ∆s is the entropy change, k is 1.380 6504(24)×10-23 J/K, and w is the frequency of occurrence of a macrostate or the number of possible microstates corresponding to the macroscopic state of a system. This can also be calculated using the formula S = Q/T, where Q is heat and T is temperature. It is important to note that there is a release of energy in the form of heat during an
  • #1
notsam
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Homework Statement

Two 1100 kg cars are traveling 75 km/hr in opposite directions when they collide and are brought to rest. Estimate the change in entropy of the universe as a result of this collision. Assume T= 15oC



Homework Equations





The Attempt at a Solution

PLEASE GET ME STARTED I am physics retarded an equation would be nice...
 
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  • #2


i imagine you're meant to use the relationship ∆S=k*log(w) where ∆s=entropy change, k is 1.380 6504(24)×10-23 J/K, and w is work...
work is kinetic energy, so...
got it?
 
  • #3


Entropy can be calculated as:


S = k ln W ( w not as in work)

also you can use S = Q/T ---> Q being heat T ----> temperature,
I have learned that in thermo when they refer at universe is just whatever is outside your system. so define your boundary and i think it's pretty simple.
 
  • #4


Also forgot to mention... you have an inelastic collision where two masses have momentum.! Remember that there is a release of energy in the form of heat because of the collision. I think that's the key for you to plug the formula as mentioned above.

However that guy who said w is work WRONG WRONG WRONG

W is the Wahrscheinlichkeit, the frequency of occurrence of a macrostate or, more precisely, the number of possible microstates corresponding to the macroscopic state of a system — number of (unobservable) "ways" in the (observable) thermodynamic state of a system can be realized by assigning different positions and momenta to the various molecules.

I know this because I just did a test on classical thermodynamics at uni ! =)
hope this helps you
 
  • #5


Wait, how do I get Q (heat) from my mass and speed?
 

FAQ: Calculating Change in Entropy: 1100 kg Cars Colliding at 75km/hr

What is entropy?

Entropy is a measure of the disorder or randomness in a system. It is commonly used in thermodynamics and statistical mechanics to describe the amount of energy that is unavailable for work in a system.

How is entropy related to the second law of thermodynamics?

The second law of thermodynamics states that the total entropy of a closed system will always increase over time. This means that the disorder or randomness in a system will tend to increase over time, leading to a decrease in the amount of usable energy.

What are some real-life examples of entropy?

Examples of entropy in everyday life include a melting ice cube, a cup of hot coffee cooling down, or a deck of cards being shuffled. In all of these cases, the system is moving towards a state of disorder or randomness.

How is entropy calculated?

Entropy is calculated using the equation S = k ln(W), where S is the entropy, k is the Boltzmann constant, and W is the number of microstates or possible arrangements in a system. This equation is derived from statistical mechanics and is used to calculate the entropy of a system at a specific temperature.

How can I apply the concept of entropy to my daily life?

While entropy is commonly associated with thermodynamics, it can also be applied to other areas of life. For example, the concept of decluttering and organizing can be seen as reducing the entropy in your living space. Additionally, understanding the second law of thermodynamics can help you make more environmentally-friendly choices, as it highlights the importance of reducing energy waste and increasing efficiency.

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