I'm sorry if this should be obvious to me, but it's not.(adsbygoogle = window.adsbygoogle || []).push({});

My book provides this equation for the bulk modulus:

Equation 1:

[tex]B = -\frac{\Delta p}{\Delta V / V}[/tex]

It says, by way of explanation, that it follows from a relationship they gave earlier:

Equation 2:

[tex]p = B \frac{\Delta V}{V}[/tex]

(where p is the pressure, B is the bulk modulus, and V represents volume.)

However, Equation 1 is easily rearranged into:

Equation 3:

[tex]B \frac{\Delta V}{V} = - \Delta p[/tex]

Comparing equation 2 and 3 suggests:

Equation 4:

[tex]p = - \Delta p[/tex]

Which is, as far as I can tell, complete nonsense.

Are equation 1 and 2 really equivalent statements? If so, how?

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# Are these equivalent?

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