A young astrophysicist is studying the atmosphere of a newly discovered gas giant planet and is interested in creating a model of acetylene gas. Acetylene consists of two carbon (C) atoms and two hydrogen (H) atoms, as shown below. The C–C and H–C bonds can be considered to be ideal springs with unknown spring constants k_C-C and k_H-C, respectively. The symmetric stretch frequency of the carbon-carbon bond in acetylene is measured to be 9.94 x 10¹³ Hz. If the atomic masses of carbon and hydrogen are known to be m_C = 12.0 amu and m_H = 1.0 amu, respectively, calculate the effective spring constant of the carbon-carbon bond in acetylene.