Problem: Calcium has a cubic closest packed structure as a solid. Assuming that calcium has an atomic radius of 197 pm, calculate the density of solid calcium.

🤓 Based on our data, we think this question is relevant for Professor Geissler's class at CAL.

FREE Expert Solution

Step 1 Determine mass

mass = 4 Ca atoms1 unit cell×1 mol Ca6.022×1023 Ca atoms×40.078 g Ca1 mol Ca

mass = 2.6621x10-22 g/unit cell


Step 2 Determine volume

volume = a3a = 22 ·rvolume = ( 22 ·r)3volume =(22 × 197 pm ×10-12 m1 pm×1 cm10-2 m)3volume =(5.572×10-8 cm)3

volume = 1.723x10-22 cm3


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Problem Details

Calcium has a cubic closest packed structure as a solid. Assuming that calcium has an atomic radius of 197 pm, calculate the density of solid calcium.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Unit Cell concept. You can view video lessons to learn Unit Cell. Or if you need more Unit Cell practice, you can also practice Unit Cell practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Geissler's class at CAL.

What textbook is this problem found in?

Our data indicates that this problem or a close variation was asked in Chemistry: An Atoms First Approach - Zumdahl 2nd Edition. You can also practice Chemistry: An Atoms First Approach - Zumdahl 2nd Edition practice problems.