the density of potassium which has the bcc structure and one atom per lattice point is 0.855 g/cm . the atomic wheigh of potassium is 30.09 g/mol calculate the lattice parameter and the atomic radius of potassium
the density of potassium which has the bcc structure and one atom per lattice point is 0.855 g/cm . the atomic wheigh of potassium is 30.09 g/mol calculate the lattice parameter and the atomic radius of potassium
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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the density of potassium which has the bcc structure and one atom per lattice point is 0.855 g/cm . the atomic wheigh of potassium is 30.09 g/mol calculate the lattice parameter and the atomic radius of potassium
![**Topic: Calculation of Lattice Parameter and Atomic Radius of Potassium**
**Problem Statement:**
Given:
- The density of potassium, which has the Body-Centered Cubic (BCC) structure and one atom per lattice point, is 0.855 g/cm³.
- The atomic weight of potassium is 39.09 g/mol.
**Calculate:**
a) The lattice parameter.
b) The atomic radius of potassium.
**Solution Outline:**
1. **Formula for Density (\( \rho \)) in a BCC Structure:**
\[
\rho = \frac{\text{number of atoms} \times \text{atomic mass}}{\text{Volume of Unit Cell (V.U.C)} \times 6.022 \times 10^{23}}
\]
2. Calculate the lattice parameter (a).
3. Derive the atomic radius from the lattice parameter.
This approach involves understanding the relationship between density, lattice parameter, and atomic radius in a Body-Centered Cubic (BCC) structure.
_End of text_
This text provides a comprehensive explanation suitable for an educational website, guiding the student through the problem-solving process for determining the lattice parameter and atomic radius of potassium based on given data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd5b40590-d04c-4429-b32b-1c3c86f6cd2e%2F87b74b24-b713-4067-831b-c17b12e950af%2Fwfvd4qe_reoriented.jpeg&w=3840&q=75)
Transcribed Image Text:**Topic: Calculation of Lattice Parameter and Atomic Radius of Potassium**
**Problem Statement:**
Given:
- The density of potassium, which has the Body-Centered Cubic (BCC) structure and one atom per lattice point, is 0.855 g/cm³.
- The atomic weight of potassium is 39.09 g/mol.
**Calculate:**
a) The lattice parameter.
b) The atomic radius of potassium.
**Solution Outline:**
1. **Formula for Density (\( \rho \)) in a BCC Structure:**
\[
\rho = \frac{\text{number of atoms} \times \text{atomic mass}}{\text{Volume of Unit Cell (V.U.C)} \times 6.022 \times 10^{23}}
\]
2. Calculate the lattice parameter (a).
3. Derive the atomic radius from the lattice parameter.
This approach involves understanding the relationship between density, lattice parameter, and atomic radius in a Body-Centered Cubic (BCC) structure.
_End of text_
This text provides a comprehensive explanation suitable for an educational website, guiding the student through the problem-solving process for determining the lattice parameter and atomic radius of potassium based on given data.
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