How is Calculus Applied in Chemistry?

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SUMMARY

Calculus, particularly differentiation and integration, is extensively applied in chemistry, especially in fields such as quantum chemistry, thermodynamics, and chemical kinetics. Key applications include the derivation of rate laws, determining limiting current during electrolysis, and analyzing radioactive decay. Essential resources for understanding these concepts include college-level physical chemistry textbooks like Engel and Reid. The discussion emphasizes the importance of utilizing academic libraries over online sources for comprehensive information.

PREREQUISITES
  • Understanding of calculus concepts, particularly differentiation and integration.
  • Familiarity with physical chemistry principles.
  • Knowledge of chemical kinetics and reaction mechanisms.
  • Basic grasp of quantum mechanics and its mathematical foundations.
NEXT STEPS
  • Research the derivation of rate laws in chemical kinetics.
  • Study the application of calculus in quantum mechanics.
  • Explore the concept of limiting current in electrochemical processes.
  • Investigate the role of calculus in thermodynamics and statistical mechanics.
USEFUL FOR

Students and researchers in chemistry, particularly those focusing on physical chemistry, chemical kinetics, and quantum mechanics, will benefit from this discussion.

Moonflower
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Hi, I am a junior, currently writing a research paper on usage of calculus, especially differentiation, in chemistry. But I am having a lot of trouble trying to find sources. What are some good website sources for this topic?

Thanks.
 
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Calculus in chemistry... Think quantum chemistry, thermodynamics, statistical mechanics.

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Derivation of rate laws uses integration.
 
Borek: Can you give me specific process that involves calculus?
Cesium: what is derivation of rate laws exactly?

Thanks!
 
You're having trouble finding sources because you're looking in the wrong place (websites). Go to a library and check out a college-level physical chemistry textbook (e.g Engel and Reid). That should have all of the information you need.
 
Moonflower said:
Borek: Can you give me specific process that involves calculus?

Relatively simple one: finding limiting current on spherical microelectrode during electrolysis.
 
Pressure of a gas in a gravitational field.
 
Plenty of uses.

Radiatiove decay, in order to know how much time it takes for a contaminated area to be safe.
Chemical kinetics, used to predict a reaction's speed or to determine the mechanism of a reaction (especially in organic chemistry).
Quantum mechanics, in which the use of calculus and differential equations (which is a tool completely based on calculus, anyway) determines the behavior of atoms and molecules.
Many branches of physical chemistry use calculus as well.
 

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