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What does this equation for density mean?

In the equation for density: $$\rho = \lim_{\Delta V\to\varepsilon^3} \ \frac{\Delta m}{\Delta V}$$ $\rho$ is density. $\Delta V$ represents a small change in volume. $\Delta m$ represents a small ...
Brendan Darrer's user avatar
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Why $VdP$ term omitted in isothermal Work?

From the comments, it looks like you’re still wondering why $V\,dP$ doesn’t appear in the definition of work or in the First Law when it appears in the differential form of the enthalpy $H\equiv U+PV$ ...
Chemomechanics's user avatar
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Why $VdP$ term omitted in isothermal Work?

It depends on what you mean by "work". When people say $\delta W = p_0dV$ is the work, where $p_0$ is the pressure of the environment and $dV$ is the increase of volume of the system and ...
hyportnex's user avatar
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Why $VdP$ term omitted in isothermal Work?

There is no $VdP$ work because mass isn't moved into and out of a closed system. The work in a closed system is boundary work, the work required to expand or contract the boundaries of the system, i....
Bob D's user avatar
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2 votes
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Why $VdP$ term omitted in isothermal Work?

The terse reason is that it was never there in the first place. The total differential for the internal energy is defined to be, \begin{gather*} dU = \delta w + \delta q \end{gather*} where $\delta q$ ...
Matt Hanson's user avatar
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Why $VdP$ term omitted in isothermal Work?

The thermodynamic work is closed system/reversible process is $$dW = -P dV$$ There is no $V dP$ term in this formula, the why is answered in any undergraduate textbook (if your question is where this ...
Themis's user avatar
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17 votes

How much pressure would it take to compress a block of solid steel into one-tenth the original volume?

The bulk modulus of steel is 160 GPa, meaning that if it were linear, it would take 160 GPa to compress it twice. The pressure at the center of Jupiter is up to 7 TPa, which would be sufficient to ...
Therac's user avatar
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29 votes

How much pressure would it take to compress a block of solid steel into one-tenth the original volume?

The basic answer is "Perfectly achievable pressures, but not for very long (with lasers, it's even legal)" Metal is perfectly happy to shrink if you squeeze it hard enough. This is in fact ...
QuadmasterXLII's user avatar
21 votes
Accepted

How much pressure would it take to compress a block of solid steel into one-tenth the original volume?

The basic answer is "no, you cannot." Consider that if you have enough pressure to compress an "incompressible" steel to one tenth its volume, the surfaces doing the pressing ...
Cort Ammon's user avatar
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0 votes
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Keeping sparkling water inside a bottle as aerated as it was before opening bottle

Solubility of a gas in liquid depends upon several factors. Temperature and pressure are two of our interest since they can be easily controlled. The method you suggest the method of shrinking volume ...
Qwerty's user avatar
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Why is the volume of an isolated system conserved?

If you use the Gibbs free energy to determine the equilibrium state of the system (a subsystem of SR), it implies that you are considering a process at constant temperature and pressure. You ...
Tanmia's user avatar
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