The normal density of gold is rho and its bulk modulus is k. The increase in density of a lump of gold when a pressure p is applied uniformly on all sides is
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As,
K = -V d P / d V
In this case, if mass remains constant ,
d V / V = d ρ / ρ
So, we get :
K = - ρ d P / d ρ
d P = P
And we get by this:
d ρ = - ρ P / K
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