How is Calculus Applied in Chemistry?

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The discussion centers on the application of calculus, particularly differentiation, in chemistry, highlighting its significance in various areas such as quantum chemistry, thermodynamics, and statistical mechanics. Participants emphasize the importance of understanding specific processes that utilize calculus, such as deriving rate laws, analyzing electrolysis on spherical microelectrodes, and studying gas pressure in gravitational fields. They recommend seeking information in college-level physical chemistry textbooks, like Engel and Reid, rather than solely relying on online sources. Key applications of calculus in chemistry include chemical kinetics for predicting reaction speeds, radioactive decay for assessing contamination safety, and quantum mechanics for understanding atomic and molecular behavior.
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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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