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A hydrogen atom has a radius of 2.5 x 10-11 m
Determine the radius of a magnesium atom.

User Squadette
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1 Answer

7 votes

Answer:


R = 1.5* 10^(-10)m

Step-by-step explanation:

Given


r = 2.5 * 10^(-11)m -- radius of hydrogen atom

See attachment

Required

Determine the radius of magnesium atom (R)

From the attachment, the ratio of a hydrogen atom to a magnesium atom is:


Ratio = 6mm : 36mm

Simplify


Ratio =1 : 6

Represent the radius as ratio:


Ratio = r : R

Substitute
r = 2.5 * 10^(-11)m


Ratio = 2.5 * 10^(-11)m : R

Equate both ratios


2.5 * 10^(-11)m : R = 1 : 6

Express as fraction


(2.5 * 10^(-11)m)/(R) = (1)/(6)

Cross Multiply


R * 1 = 2.5 * 10^(-11)m * 6


R * 1 = 2.5 * 6* 10^(-11)m


R * 1 = 15* 10^(-11)m


R = 15* 10^(-11)m


R = 1.5*10* 10^(-11)m


R = 1.5* 10^(1-11)m


R = 1.5* 10^(-10)m

Hence, the radius of the magnesium atom is:
1.5* 10^(-10)m

A hydrogen atom has a radius of 2.5 x 10-11 m Determine the radius of a magnesium-example-1
User Chouettou
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2.8k points