Question 10.7: Calculating the Number of Atoms in a Unit Cell How many atom......

General Chemistry: Atoms First [1015060]

Calculating the Number of Atoms in a Unit Cell

How many atoms are in one primitive-cubic unit cell of a metal?

Step-by-Step

The 'Blue Check Mark' means that this solution was answered by an expert.
Learn more on how do we answer questions.

STRATEGY AND SOLUTION

As shown in Figure 10.22a, a primitive-cubic unit cell has an atom at each of its eight corners. When unit cells are stacked together, each corner atom is shared by eight cubes, so that only 1/8 of each atom “belongs” to a given unit cell. Thus there is 1/8 × 8 = 1 atom per unit cell.

10.22

Related Answered Questions

Question: 10.2

Predicting the Presence of a Dipole Moment Would you expect vinyl chloride (H2C=CHCl), the starting material used for preparation of poly(vinyl chloride) polymer, to have a dipole moment? If so, indicate the direction. STRATEGY First, use the VSEPR model described in Section 5.1 to predict the ...

Verified Answer:

Because both carbon atoms have three charge clouds...

Question: 10.8

Using Unit-Cell Dimensions to Calculate the Radius of an Atom Silver metal crystallizes in a cubic closest-packed arrangement with the edge of the unit cell having a length d = 407 pm. What is the radius in picometers of a silver atom? ...

Verified Answer:

STRATEGY AND SOLUTION Cubic closest-packing uses ...

Question: 10.11

Interpreting a Phase Diagram Freeze-dried foods are prepared by freezing the food and removing water by subliming the ice at low pressure. Look at the phase diagram of water in Figure 10.28, and tell the maximum pressure in mm Hg at which ice and water vapor are in equilibrium. ...

Verified Answer:

6.0 \times 10^{-3} \mathrm{~atm} \times \fr...

Question: 10.10

Identifying a Unit Cell Imagine a tiled floor in the following pattern. Identify the smallest repeating rectangular unit, analogous to a two-dimensional unit cell. ...

Verified Answer:

Question: 10.9

Using Unit-Cell Dimensions to Calculate the Density of a Metal Nickel has a face-centered cubic unit cell with a length of 352.4 pm along an edge. What is the density of nickel in g/cm³ ? ...

Verified Answer:

Each of the eight corner atoms in a face-centered ...

Question: 10.6

Calculating a Heat of Vaporization Using the Clausius–Clapeyron Equation Ether has Pvap = 400 mm Hg at 17.9 °C and a normal boiling point of 34.6 °C. What is the heat of vaporization, ΔHvap, for ether in kJ/mol? ...

Verified Answer:

\Delta H_{\text {vap }}=\frac{(6.633-5.991)...

Question: 10.5

Calculating a Vapor Pressure Using the Clausius–Clapeyron Equation The vapor pressure of ethanol at 34.7 °C is 100.0 mm Hg, and the heat of vaporization of ethanol is 38.6 kJ/mol. What is the vapor pressure of ethanol in millimeters of mercury at 65.0 °C? ...

Verified Answer:

\begin{aligned}& \ln P_2=4.6052+\left(\...

Question: 10.4

Calculating an Entropy of Vaporization The boiling point of water is 100 °C, and the enthalpy change for the conversion of water to steam is ΔHvap = 40.67 kJ/mol. What is the entropy change for vaporization, ΔSvap, in J/(K · mol)? ...

Verified Answer:

\Delta S_{\text {vap }}=\frac{\Delta H_{\te...

Question: 10.3

Identifying Intermolecular Forces Identify the likely kinds of intermolecular forces in the following substances: (a) HCl (b) CH3CH3 (c) CH3NH2 (d) Kr ...

Verified Answer:

(a) HCl is a polar molecule but can’t form hydroge...

Question: 10.1

Calculating Percent Ionic Character from a Dipole Moment The dipole moment of HCl is 1.11 D, and the distance between atoms is 127 pm. What is the percent ionic character of the HCl bond? ...

Verified Answer:

The calculated dipole moment is

\begin{alig...