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  1. Van der Waals’ equation says that the volume of a real gas is the volume that would be occupied by non-interacting point masses, \(V_{ideal\ gas}\), plus the effective volume of the gas molecules themselves.

  2. The ideal gas law allows us to calculate the value of the fourth quantity (P, V, T, or n) needed to describe a gaseous sample when the others are known and also predict the value of these quantities following a change in conditions if the original conditions (values of P, V, T, and n) are known. The ideal gas law can also be used to calculate ...

  3. Equation \(\ref{3.1.17}\) is the time-dependent Schrödinger equation describing the wavefunction amplitude \(\Psi(\vec{r}, t)\) of matter waves associated with the particle within a specified potential \(V(\vec{r})\). Its formulation in 1926 represents the start of modern quantum mechanics (Heisenberg in 1925 proposed another version known as ...

  4. The equation v = d/t defines velocity (v) as the rate at which an object moves, calculated by dividing the distance (d) it travels by the time (t) taken to travel that distance.

  5. 14 Νοε 2017 · Ideal Gas Law Definition. The ideal gases obey the ideal gas law perfectly. This law states that: the volume of a given amount of gas is directly proportional to the number on moles of gas, directly proportional to the temperature and inversely proportional to the pressure. i.e. pV = nRT.

  6. The simplest example is the perfect gas equation p = nRT/V, which gives (∂p/∂T) V = nR/V and hence the important result that ∂U ∂V T = 0 for a perfect gas. (C8) D. A DIRTY TRICK Equation (C4) can be obtained with less effort by dividing dU = TdS −pdV throughout by dT at constant V, and then noting that (∂V/∂T) V = 0: ∂U ∂T V ...

  7. Definition. The equation v = d/t defines velocity as the ratio of the distance traveled (d) to the time taken (t). This formula establishes a fundamental relationship in motion, showing how fast an object moves in a given direction over a certain period.

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