Density of ${He}^{4}$ Near the Critical Point

The density of

{He}^{4}

has been measured along five isotherms near the critical point. Using a modified form of the power-law expression

| P - P_{c} | \propto {| ρ - ρ_{c} |}^{δ}

for the critical isotherm, we find

3.8 <~ δ <~ 4.1

. Assuming that the specific heat follows a relation

C_{v} \propto {| T - T_{c} |}^{- α^{'}}

and that the density of the coexistence curve behaves as

| ρ - ρ_{c} | \propto {(T_{c} - T)}^{β}

, previous measurements for

α^{'}

and

β

allow us to test Griffith's inequality

β (δ + 1) + α^{'} >~ 2

. We obtain a maximum value for

β (δ + 1) + α^{'}

of 1.9.

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Density ofHe4Near the Critical Point