Question 10.9: USING UNIT-CELL DIMENSIONS TO CALCULATE THE DENSITY OF A MET...

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?

STRATEGY
Density is mass divided by volume. The mass of a single unit cell can be calculated by counting the number of atoms in the cell and multiplying by the mass of a single atom.

The volume of a single cubic unit cell with edge d is d³ = (3.524 × $10^{-8}$ cm)³ = 4.376 × $10^{-23}$ cm³.

The "Step-by-Step Explanation" refers to a detailed and sequential breakdown of the solution or reasoning behind the answer. This comprehensive explanation walks through each step of the answer, offering you clarity and understanding.
Our explanations are based on the best information we have, but they may not always be right or fit every situation.

The blue check mark means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.
Learn more on how we answer questions.

This Question has been Answered.

Already have an account?

Related Answered Questions

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? STRATEGY The heat of vaporization, ΔHvap, of a liquid can be obtained either ...

Verified Answer:

ΔH_{vap} = \frac{(6.633 - 5.991)\left(8...

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:

Cubic closest-packing uses a face-centered cubic u...

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. STRATEGY Solid and ...

Verified Answer:

6.0 × 10^{-3} atm × \frac{760 mm Hg}...

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. STRATEGY Using trial and error, the idea is to draw two perpendicular sets of parallel lines that define a repeating rectangular unit. ...

Verified Answer:

Question: 10.7

CALCULATING THE NUMBER OF ATOMS IN A UNIT CELL How many atoms are in one primitive-cubic unit cell of a metal? ...

Verified Answer:

As shown in Figure 10.22a, a primitive-cubic unit ...

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? STRATEGY There are several ways to do this ...

Verified Answer:

ln

P_{2} = 4.6052 +\left(\frac{38,600 \...

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)? STRATEGY At the temperature where a phase change occurs, the two ...

Verified Answer:

ΔS_{vap} = \frac{ΔH_{vap}}{T} = \frac{4...

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 STRATEGY Look at the structure of each substance, and decide what intermolecular forces are present. All molecules have dispersion forces; polar ...

Verified Answer:

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

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 7.9 to predict the ...

Verified Answer:

Because both carbon atoms have three charge clouds...

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? STRATEGY If HCl were 100% ionic, a negative charge (Cl^−) would be separated from a positive charge (H^+) by ...

Verified Answer:

The calculated dipole moment is μ = Q × r m = [lat...