The number of orbitals having a given value of l is equal to A)2l + 1 B)2n + 2 C)3l D)l + m_l E)the number of lobes in each orbital

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The number of orbitals having a given value of l is equal to 2l+1, where l is the angular momentum quantum number. This formula is derived from the fact that each orbital can accommodate 2(2l+1) electrons, due to the Pauli exclusion principle and the possible spin states (ms=+1/2 and ms=-1/2). Therefore, the number of orbitals is half of 2(2l+1), which simplifies to 2l+1.

The Number of Orbitals Having a Given Value of L