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I need to find the volta potential between two samples of the same metal.

2.

The electron density is given, ## \rho ##, and each sample are subject to different pressures (1 atm and 100 atm), and it has bulk modulus ##K=1 \times 10^{11} \text{N m}^{-2}##

Is the density given assumed to be the density at 1 atm?

3.

I know that the Fermi energy is

## \epsilon_F = \frac{\hbar^2}{2 m_e}\left(\frac{3\pi ^2N}{V}\right)^{\frac{2}{3}} ##

##N/V = \rho ## .

##K = - V \frac{d P}{dV} ##

So to find the difference in Fermi energies ##\rho_1## is given at 1 atm, and then you can find the other one somehow? Do you assume that the samples are identical and find a new electron density? How do I find the Volta potential once I have the difference in Fermi energies?

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# Homework Help: Volta potential

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