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Principles of Mass Conservation

The law of conservation of mass is a foundational concept in science, asserting that mass in an isolated system is constant over time. Established by Antoine Lavoisier, it revolutionized chemistry and underpins the balancing of chemical equations. Modern physics, including quantum mechanics and relativity, expands this to mass-energy conservation, addressing the interconvertibility of mass and energy in nuclear reactions and the influence of spacetime curvature in strong gravitational fields.

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1

According to this principle, mass is neither ______ nor ______ within an isolated system.

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created destroyed

2

The total mass before and after any ______ or ______ process must remain unchanged.

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physical chemical

3

The conservation of mass is vital for understanding ______ and ______ transformations.

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matter energy

4

This fundamental principle is a key element in scientific fields such as ______, classical mechanics, and ______.

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chemistry thermodynamics

5

Time period of Lavoisier's contribution to chemistry.

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18th century; marked end of alchemy, start of modern chemistry.

6

Impact of Lavoisier's experiments on scientific method.

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Established quantitative analysis, vital for scientific method in chemistry.

7

The ______ of conservation of mass states that the mass of the ______ is equal to the mass of the ______.

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law reactants products

8

Einstein's mass-energy equivalence principle

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E=mc^2, where mass can be converted to energy and vice versa.

9

Application of mass-energy conservation

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In nuclear reactions and particle-antiparticle annihilation, mass-energy conservation replaces mass conservation.

10

Limitation of conservation of mass

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Not applicable in quantum mechanics and relativity where mass can transform into energy.

11

In ______ systems, matter and energy can be exchanged, leading to non-strict adherence to mass conservation.

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open

12

Mass changes from energy exchanges are usually minor, except during ______ or ______.

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nuclear reactions radioactive decay

13

Under ______, the conservation of mass-energy is influenced by spacetime curvature.

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strong gravitational fields

14

General relativity suggests that in certain conditions, conservation laws are better described using the ______.

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stress-energy tensor

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Principles of Mass Conservation

The law of conservation of mass is a fundamental principle in both physics and chemistry, stating that the mass of an isolated system remains constant over time. This law posits that mass cannot be created or destroyed in an isolated system, and thus the total mass before and after any physical or chemical process must be the same. This principle is essential for the study of matter and energy transformations and is a cornerstone in various scientific disciplines, including chemistry, classical mechanics, and thermodynamics.
Polished brass equal arm balance with metal weights and irregular rocks, beaker and flask with liquids and lit Bunsen burner in laboratory.

Historical Insights into Mass Conservation

The law of conservation of mass has evolved through history, beginning as early as the 17th century. However, it was Antoine Lavoisier in the 18th century who, through meticulous experiments and measurements, established that mass is conserved during chemical reactions. This discovery was a turning point, marking the end of alchemy and the birth of modern chemistry. Lavoisier's work laid the groundwork for the scientific method and the quantitative analysis of chemical processes.

Application in Chemical Equations

The law of conservation of mass is particularly relevant in the context of chemical reactions. It ensures that the total mass of the reactants equals the total mass of the products. This principle is indispensable for chemists when balancing chemical equations, as it allows for the accurate prediction of reaction outcomes. By adhering to this law, chemists can determine the proportions of reactants needed and the expected yield of products from a reaction.

Revisiting Conservation in Modern Physics

The law of conservation of mass is not universally applicable, especially when considering the realms of quantum mechanics and Einstein's theory of special relativity. Einstein's mass-energy equivalence principle (E=mc^2) demonstrates that mass can be converted into energy and vice versa, which is particularly evident in nuclear reactions and particle-antiparticle annihilation events. In these cases, a more comprehensive law of mass-energy conservation is applied, which accounts for the interconvertibility of mass and energy.

Conservation in Complex Systems

In open systems, where matter and energy can be exchanged with the surroundings, the conservation of mass is not strictly observed. However, the mass changes due to energy exchanges are often negligible, except in nuclear reactions or radioactive decay. In strong gravitational fields, as described by general relativity, the conservation of mass-energy becomes more complex. In such fields, the curvature of spacetime affects the energy and momentum of matter, and thus the conservation laws must be expressed in terms of the stress-energy tensor, which provides a more general and accurate description of conservation in these contexts.