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Answer :
Final answer:
The atomic radius of Cl can be estimated by comparing it to the atomic radii of other elements. Based on the atomic radii of Br and I, a reasonable estimate for the atomic radius of Cl is 89 pm.So,option b)89pm is correct
Explanation:
The atomic radius of an atom is half the distance between the nuclei of two like atoms joined by a covalent bond in the same molecule. Using this information, we can estimate the atomic radius of Cl by comparing it to the atomic radii of other elements. Since the atomic radius of Br is 114 pm and the atomic radius of I is 138 pm, we can assume that the atomic radius of Cl will be between these two values. Therefore, a reasonable estimate for the atomic radius of Cl is option b) 89 pm.
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Final answer:
The estimated atomic radius of Cl is best approximated by 89 pm when considering its position between F and Br in the periodic table and using the given atomic radii values.
Explanation:
The atomic radii of F, Br, and I are given as 64 pm, 114 pm, and 138 pm, respectively. To estimate the atomic radius of Cl, we can look at the information presented in Figure 4.6.1 which tells us that the internuclear distance in the diatomic Cl₂ molecule is known to be 198 pm and we can assign half of this distance to each chlorine atom. Therefore, the covalent atomic radius of chlorine is 198 pm divided by 2, which equals 99 pm.
Considering that the atomic radii trend increases moving down a group in the periodic table, and given that chlorine is between fluorine and bromine in the periodic table, it is reasonable to expect that the atomic radius of Cl would be between those of F and Br. Thus, the options presented, the estimated atomic radius of Cl is best approximated by option (b) 89 pm, which is closer to the calculated value of 99 pm.
