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  2. Boyle's law - Wikipedia

    en.wikipedia.org/wiki/Boyle's_law

    Graph of Boyle's original data [4] showing the hyperbolic curve of the relationship between pressure (P) and volume (V) of the form P = k/V. The relationship between pressure and volume was first noted by Richard Towneley and Henry Power in the 17th century. [5] [6] Robert Boyle confirmed their discovery through experiments and published the ...

  3. Ideal gas law - Wikipedia

    en.wikipedia.org/wiki/Ideal_gas_law

    Isotherms of an ideal gas for different temperatures. The curved lines are rectangular hyperbolae of the form y = a/x. They represent the relationship between pressure (on the vertical axis) and volume (on the horizontal axis) for an ideal gas at different temperatures: lines that are farther away from the origin (that is, lines that are nearer to the top right-hand corner of the diagram ...

  4. Pressure–volume diagram - Wikipedia

    en.wikipedia.org/wiki/Pressurevolume_diagram

    A PV diagram plots the change in pressure P with respect to volume V for some process or processes. Typically in thermodynamics, the set of processes forms a cycle, so that upon completion of the cycle there has been no net change in state of the system; i.e. the device returns to the starting pressure and volume.

  5. List of equations in fluid mechanics - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in_fluid...

    F•dS is the component of flux passing through the surface, multiplied by the area of the surface (see dot product). For this reason flux represents physically a flow per unit area . Here t ^ {\displaystyle \mathbf {\hat {t}} \,\!} is a unit vector in the direction of the flow/current/flux.

  6. Van der Waals equation - Wikipedia

    en.wikipedia.org/wiki/Van_der_Waals_equation

    The two first partial derivatives of the vdW equation are | = = | = + = where = is the isothermal compressibility (a measure of the relative increase of volume from an increase of pressure, at constant temperature), and = is the coefficient of thermal expansion (a measure of the relative increase of volume from an increase of temperature, at ...

  7. Molar volume - Wikipedia

    en.wikipedia.org/wiki/Molar_volume

    The ideal gas equation can be rearranged to give an expression for the molar volume of an ideal gas: = = Hence, for a given temperature and pressure, the molar volume is the same for all ideal gases and is based on the gas constant: R = 8.314 462 618 153 24 m 3 ⋅Pa⋅K −1 ⋅mol −1, or about 8.205 736 608 095 96 × 10 −5 m 3 ⋅atm⋅K ...

  8. Bernoulli's principle - Wikipedia

    en.wikipedia.org/wiki/Bernoulli's_principle

    If mass density is ρ, the mass of the parcel is density multiplied by its volume m = ρA dx. The change in pressure over distance dx is dp and flow velocity v = ⁠ dx / dt ⁠. Apply Newton's second law of motion (force = mass × acceleration) and recognizing that the effective force on the parcel of fluid is −A dp. If the pressure ...

  9. Pressure - Wikipedia

    en.wikipedia.org/wiki/Pressure

    Pressure is depth dependent, not volume dependent, so there is a reason that water seeks its own level. Restating this as an energy equation, the energy per unit volume in an ideal, incompressible liquid is constant throughout its vessel. At the surface, gravitational potential energy is large but liquid pressure energy is low. At the bottom of ...