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Decimal expansion of Cp(1), the molar specific heat of an atomic ideal gas at constant pressure.
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%I #29 Jun 24 2026 13:20:37

%S 2,0,7,8,6,1,5,6,5,4,5,3,8,3,1

%N Decimal expansion of Cp(1), the molar specific heat of an atomic ideal gas at constant pressure.

%C Also the decimal expansion of the molar specific heat of an ideal gas consisting of molecules with 5 degrees of freedom at constant volume.

%C The molar specific heat of an ideal gas consisting of molecules with n degrees of freedom at constant pressure and volume can be calculated respectively with the following formulae:

%C - Cv(n) = n/2 R;

%C - Cp(n) = (1 + n/2) R;

%C Where R = Cp(n) - Cv(n) = A070064 is the molar gas constant.

%C Molecules of a monatomic gas have 3 degrees of freedom. Diatomic and polyatomic molecules can have additional degrees of freedom.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Molar_heat_capacity">Molar heat capacity</a>.

%F Cp(1) = (1 + 3/2) * R = 5/2 * A070064.

%F Cp(1) = Cv(1) + R = A272001 + A070064.

%e Cp(1) = 20.7861565453831 J mol^-1 K^-1.

%Y Cf. A070064, A272001, A272003, A272004, A272005.

%K cons,nonn,fini,full

%O 2,1

%A _Natan Arie Consigli_, Jul 06 2016

%E Edited by _Andrey Zabolotskiy_, Mar 28 2025