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Calculate the predicted atomic radius for potassium, K, given the atomic radius of rubidium, Rb, (0.247 nm) and cesium, Cs, (0.265 nm).
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If that's the only information available to you I would suggest that you subtract 0.265-0.247 to find how much the radius decreases from period 6 to period 5 and subtract that difference from Rb to make an educated guess at K that's down one more period.
we only subtract 0.265 out off 0.247 to find the radius decreases from period 6 to period 5. so the answer is = 0.018 nm.
0.229nm