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An immediate advantage is that the calculation can be done in your head. Quickly, what's $$\frac{(8\times 10^{13})(3\times 10^{-3})(2\times 10^{5})}{(2\times 10^{7})(5\times 10^{8})}+3\times 10^{-2}? …

Thus, the monatomic ideal gas at high temperatures fills its container easily and thus maintains the familiar constant-volume heat capacity of $\frac{3}{2}kN$. …

When we heat a system at constant pressure, its volume tends to change. … (For many materials and many temperature ranges, the volume tends to increase, but thermal contraction can occur, as with liquid water over the temperature range of 0–4°C.) …

1 \bar v_2}{V \chi_T },\tag{1}$$ for a two-component system, where $\mu_i$ and $N_i$ are respectively the chemical potential and amount of component $i$; $V$, $T$, and $P$ are respectively the system volume … , temperature, and pressure; $\bar v_i$ is the molar volume of component $i$, and $\chi_T$ is the isothermal compressibility. …

Munson uses a barred, italicized V to distinguish—when the context doesn't make it clear—volume from velocity, which is shown upright and in bold. … (Subscripts referring to volume are italicized and in lowercase, as shown in your example.) …

In real life, we might expect a notched appearance from friction, as static friction might cause the piston to stick and then slip, stick and then slip. However, it doesn't look like this aspect is in …

I need to figure out how much my tank's PSI will change for a breath, given the volume of 1 breath, the ambient pressure, and the tank's volume. … Consider applying the ideal gas law both in the tank and in the lungs, with the connection being the amount of gas $\Delta n$ transferred from the former to the latter: $$\text{Tank, constant volume and …

Completely submerging a weightless sphere of volume $V$ is then equivalent to elevating a mass of water $m=\rho V$, where $\rho$ is the water density, by a distance $r$, where $r$ is the sphere radius. …

This is not true, because (1) we know the initial state (very large atmospheric volume of $V_0$ and zero temperature, in this cartoon idealization) and the final state (atmospheric volume $V_0-V$, where … $V$ is the system volume, and zero temperature) and (2) only mechanical work is involved in this decoupled step. …

Every system is defined by a variety of extensive variables: entropy, volume, mass, charge, surface area, magnetization, etc. …

Note that the volume is not the system volume but the displaced volume, or the volume exchanged by moving an interface against a pressure resistance. … With this in mind, yes, if the resistance is a constant 1 pascal, then the work in joules numerically equals the volume exchange in cubic meters. …

It conceptually describes the work done on the atmosphere—at surrounding pressure $P$—to make room for the entire system at volume $V$. … Can't we just model expansion as removing the entire system and inserting it again at the larger volume? Yes, and the enthalpy change would be $\Delta H=-\int P\,dV+\Delta (PV)$. …

But you’ve precluded all of these by specifying a pure ideal gas at equilibrium, subject to only pressure–volume work, with no possibility for heat generation and no way to change the temperature except … By this choice, the system has been simplified and idealized to the point where pressure and volume can’t be changed independently except by altering the surrounding temperature. …

container with the larger neck, a thermally expanding liquid rises less than it would in a cylindrical container because the newly wetted cross-sectional area is larger and can accommodate more liquid volume …

The volumetric or dilatational stress can be defined as one-third the trace of the stress tensor. If a body is exposed to hydrostatic pressure $P$ alone, then the external forces act as normal to the …