To determine how many compounds have a tetrahedral geometry, we need to analyze the molecular geometry of each compound using VSEPR theory or the corresponding coordination configuration:
- \(NH_4^+\): Ammonium ion has 4 bonding pairs and no lone pairs around nitrogen. According to VSEPR, this results in a tetrahedral geometry.
- \(XeF_4\): Xenon tetrafluoride has 4 bonding pairs and 2 lone pairs. VSEPR predicts a square planar geometry.
- \([NiCl_4]^{2-}\): Nickel in the +2 oxidation state with 4 Cl⁻ ions forms a tetrahedral compound because it involves sp³ hybridization with no lone pairs affecting the geometry.
- \([PtCl_4]^{2-}\): Platinum(II) forms a square planar complex typically due to dsp² hybridization.
- \([Cu(NH_3)_4]^{2+}\): Copper forms a square planar complex in its +2 oxidation state.
- \(BF_3\): Boron trifluoride has trigonal planar geometry due to 3 bonding pairs around boron.
- \([Ni(CO)_4]\): Nickel tetracarbonyl is tetrahedral, with sp³ hybridization as it uses zero oxidation state nickel.
Analyzing these, \(NH_4^+\), \([NiCl_4]^{2-}\), and \([Ni(CO)_4]\) have tetrahedral geometries. Therefore, the number of compounds with tetrahedral geometry is 3, which falls within the given range of 3 to 3.