Every object in the universe attracts every other object with a force (gravitational force FG) directed along the line through centres of the two objects that is proportional to the product of their masses and inversely proportional to the square of the distance between them.
m1 and m2 are masses of the two objects and r is the distance between them. G is universal constant of gravitation, which equals 6.67•10-26 N m2 kg-2. Strictly speaking, this law applies only to objects that can be considered pointlike object. Otherwise, the force has to be found by integrating the forces between various mass elements.
It is more properly to express Newton’s gravitational law by vector equation:
in which r1 and r2 are position vectors of masses m1 and m2.
Gravitational forces act on distance. Newton’s gravitational law is derived from Kepler’s law for planetary motion, using a physical assumption considering Sun as the centre and the source of gravitational force.
Additionally, every object moves in the direction of the force acting on it, with acceleration that is inversely proportional to the mass of object. For bodies on the surface of Earth, the distance r in gravitational law formula is practically equal to the Earth radius, RE. If the mass of the body on Earth surface is m and the mass of earth is ME, the gravitational force acting on that body can be expressed as:
where g is gravitational acceleration which is, although dependent on geographical latitude, usually considered as constant equal to 9.81 m s-2.
Avogadro’s law: Equal volumes of all gases contain equal numbers of molecules at the same pressure and temperature. The law, often called Avogadro’s hypothesis, is true only for ideal gases. It was proposed in 1811 by Italian chemist Amadeo Avogadro (1776-1856).
Beer’s law (or Beer-Lambert law) is the functional relationship between the quantity measured in an absorption method (A) and the quantity sought, the analyte concentration (c). As a consequence of interactions between the photons and absorbing particles, the power of the beam is attenuated from Po to P. Beer’s law can be written
where A is the absorbance at a given wavelength of light, ε is the molar absorbtivity or extinction coefficient (L mol-1 cm-1), unique to each molecule and varying with wavelength, b is the length of light path through the sample (cm), and c is the concentration of the compound in solution (mol L-1).
The magnetic field B due to a current-carrying conductor can be determined by Biot-Savart law. The contribution to magnetic field set up at distance r by the current element IdL is given by expression:
where μ0 is permeability constant. It plays a role in magnetic problems equivalent to the role of permittivity constant μ0 in electrostatics problems. In order to obtain B, contributions of all current elements have to be integrated. In case of a long straight conductor, carrying current I, Biot-Savart law gives:
SI unit for magnetic field B is tesla (T).
Permaeability constant μ0 has value 4π×10-7 T m A-1.
Fick’s law is the statement that the flux J of a diffusing substance is proportional to the concentration gradient, i.e.,
where D is called the diffusion coefficient.
First law of thermo-dynamics is: Energy can be neither created nor destroyed, but can cross from one shape to another.
Boyle’s law (sometimes referred to as the Boyle-Mariott’s law) is the empirical law, exact only for an ideal gas, which states that the volume of a gas is inversely proportional to its pressure at constant temperature.
The volume of a fixed mass of gas at a constant pressure expand by the constant fraction of its volume at 0 °C. For each Celsius or kelvin degree its temperature is raised. For any ideal gas fraction it is approximately 1/273. This can be expressed by the equation
were V° is the volume at 0°C and V is its volume at t°C.
This is equivalent to the statement that the volume of a fixed mass of gas at a constant pressure is proportional to its thermodynamic temperature
This law also know as Gay-Lussac’s law.
An equation similar to the one given above applies to pressures for ideal gases:
Dalton’s law of partial pressure says that the total pressure eof gaseous mixture is equal to the sum of all gases partial pressures which make that mixture on the condition that they do not interact.
For example, if dry oxygen gas at 900 hPa is saturated with water vapor at 56 hPa, the pressure of the wet gas is 956 hPa.
Generalic, Eni. "Newtonov zakon gravitacije." Croatian-English Chemistry Dictionary & Glossary. 29 June 2022. KTF-Split. {Date of access}. <https://glossary.periodni.com>.
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