The total number of electrons in antibonding molecular orbital of F2 and bonding molecular orbital of C2 respectively is:

To answer this question, we need to understand the molecular orbital theory and the electron configuration of the molecules F2 and C2.

1. F2 molecule: Fluorine has 9 electrons, so two fluorine atoms will have 18 electrons. According to the molecular orbital theory, the order of filling of electrons in molecular orbitals is σ1s < σ1s < σ2s < σ2s < π2px = π2py < σ2pz < π2px = π2py < σ2pz. The first 10 electrons will fill up the σ1s, σ1s, σ2s, and σ2s orbitals. The next 6 electrons will fill up the π2px, π2py, and σ2pz orbitals. The remaining 2 electrons will go into the π2px = π2py antibonding orbitals. So, the total number of electrons in antibonding molecular orbital of F2 is 2.

2. C2 molecule: Carbon has 6 electrons, so two carbon atoms will have 12 electrons. According to the molecular orbital theory, the order of filling of electrons in molecular orbitals for C2 is σ1s < σ1s < σ2s < σ2s < π2px = π2py < σ2pz < π2px = π2py < σ2pz. The first 10 electrons will fill up the σ1s, σ1s, σ2s, σ2s, and π2px = π2py orbitals. The remaining 2 electrons will go into the σ2pz bonding orbital. So, the total number of electrons in bonding molecular orbital of C2 is 2.

So, the total number of electrons in antibonding molecular orbital of F2 and bonding molecular orbital of C2 is 2 and 2 respectively.

To answer this question, we need to understand the molecular orbital theory and the electron configuration of the molecules F2 and C2.

1. F2 molecule: Fluorine has 9 electrons, so two fluorine atoms will have 18 electrons. The molecular orbital configuration of F2 is σ1s2, σ1s2, σ2s2, σ2s2, π2p4, σ2p2, π2p2. The asterisk () denotes antibonding orbitals. So, the total number of electrons in antibonding molecular orbitals of F2 is 2 (from σ1s) + 2 (from σ2s) + 2 (from π*2p) = 6 electrons.

2. C2 molecule: Carbon has 6 electrons, so two carbon atoms will have 12 electrons. The molecular orbital configuration of C2 is σ1s2, σ1s2, σ2s2, σ2s2, π2p4, σ2p2. Again, the asterisk (*) denotes antibonding orbitals. However, the question asks for the number of electrons in bonding orbitals. So, we count the electrons in orbitals without the asterisk: 2 (from σ1s) + 2 (from σ2s) + 4 (from π2p) + 2 (from σ2p) = 10 electrons.

So, the total number of electrons in antibonding molecular orbital of F2 is 6 and in bonding molecular orbital of C2 is 10.