In H2SO4, there are no coordinate covalent bonds. All the bonds between the sulfur atom and the surrounding atoms are covalent bonds formed by the sharing of electrons. Specifically, H2SO4 contains four O-H bonds, two S-O bonds, and one S-O double bond. All of these bonds are formed by the overlap of atomic orbitals and the sharing of electrons, rather than through the donation of a lone pair of electrons from one atom to another, which is characteristic of coordinate covalent bonds.