cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-5 of 5 results.

A272002 Decimal expansion of Cp(1), the molar specific heat of an atomic ideal gas at constant pressure.

Original entry on oeis.org

2, 0, 7, 8, 6, 1, 5, 6, 5, 4, 5, 3, 8, 3, 1
Offset: 2

Views

Author

Natan Arie Consigli, Jul 06 2016

Keywords

Comments

Also the decimal expansion of the molar specific heat of an ideal gas consisting of molecules with 5 degrees of freedom at constant volume.
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:
- Cv(n) = n/2 R;
- Cp(n) = (1 + n/2) R;
Where R = Cp(n) - Cv(n) = A070064 is the molar gas constant.
Molecules of a monatomic gas have 3 degrees of freedom. Diatomic and polyatomic molecules can have additional degrees of freedom.

Examples

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

Crossrefs

Formula

Cp(1) = (1 + 3/2) * R = 5/2 * A070064.
Cp(1) = Cv(1) + R = A272001 + A070064.

Extensions

Edited by Andrey Zabolotskiy, Mar 28 2025

A272001 Decimal expansion of Cv(1), the molar specific heat of an atomic ideal gas at constant volume.

Original entry on oeis.org

1, 2, 4, 7, 1, 6, 9, 3, 9, 2, 7, 2, 2, 9, 8, 6
Offset: 2

Views

Author

Natan Arie Consigli, Jul 02 2016

Keywords

Crossrefs

Formula

Equals 3/2 * A070064 = 12.47169392722986 J mol^-1 K^-1.

Extensions

Edited by Andrey Zabolotskiy, Apr 02 2025

A272005 Decimal expansion of the molar specific heat of an ideal gas consisting of molecules with 9 degrees of freedom at constant pressure, in J mol^-1 K^-1.

Original entry on oeis.org

4, 5, 7, 2, 9, 5, 4, 4, 3, 9, 9, 8, 4, 2, 8, 2
Offset: 2

Views

Author

Natan Arie Consigli, Jul 09 2016

Keywords

Comments

Also the decimal expansion of the molar specific heat of an ideal gas consisting of molecules with 11 degrees of freedom at constant volume.

Examples

			45.72954439984282 J mol^-1 K^-1.
		

Crossrefs

Formula

Equals 11/2 * R = 11/2 * A070064.
Equals A272004 + A070064.

Extensions

Edited by Andrey Zabolotskiy, Apr 02 2025

A272004 Decimal expansion of the molar specific heat of an ideal gas consisting of molecules with 7 degrees of freedom at constant pressure, in J mol^-1 K^-1.

Original entry on oeis.org

3, 7, 4, 1, 5, 0, 8, 1, 7, 8, 1, 6, 8, 9, 5, 8
Offset: 2

Views

Author

Natan Arie Consigli, Jul 09 2016

Keywords

Comments

Also the decimal expansion of the molar specific heat of an ideal gas consisting of molecules with 9 degrees of freedom at constant volume.

Examples

			37.41508178168958 J mol^-1 K^-1.
		

Crossrefs

Formula

Equals 9/2 * R = 9/2 * A070064.
Equals A272003 + A070064.

Extensions

Edited by Andrey Zabolotskiy, Apr 02 2025

A274981 Decimal expansion of gamma(2) = 7/5.

Original entry on oeis.org

1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
Offset: 1

Views

Author

Natan Arie Consigli, Aug 31 2016

Keywords

Comments

gamma(n) = Cp(n)/Cv(n) is the n-th Poisson's constant. For the definition of Cp and Cv see A272002.

Crossrefs

Cf. A020793 = gamma(1).

Formula

7/5 = (7/2 R)/(5/2 R) = Cp(2)/Cv(2) = A272003/A272002, with R = A081822 (or A070064).
Showing 1-5 of 5 results.