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(a) Are you more likely to see the density of a gas reported in \(\mathrm{g} / \mathrm{mL}, \mathrm{g} / \mathrm{L},\) or \(\mathrm{kg} / \mathrm{cm}^{3} ?(\mathbf{b})\) Which units are appropriate for expressing atmospheric pressures, \(\mathrm{N}, \mathrm{Pa},\) atm, kg/m \(^{2} ?\) (c) Which is most likely to be a gas at room temperature and ordinary atmospheric pressure, \(\mathrm{F}_{2}, \mathrm{Br}_{2}, \mathrm{K}_{2} \mathrm{O} .\)

Short Answer

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(a) The most appropriate unit to report the density of a gas is g/L (grams per liter). (b) The appropriate units for expressing atmospheric pressures are Pa (Pascals) and atm (atmospheres). (c) Among Fâ‚‚ (fluorine), Brâ‚‚ (bromine), and Kâ‚‚O (potassium oxide), the substance most likely to be a gas at room temperature and ordinary atmospheric pressure is Fâ‚‚ (fluorine gas).

Step by step solution

01

Part (a): Appropriate unit for gas density

When describing the density of a gas, the unit g/L (grams per liter) is the most appropriate. This choice makes sense for gases because g/L provides a more manageable and convenient unit to use due to the low densities of gases, as opposed to g/mL or kg/cm³, which would result in very small numbers.
02

Part (b): Appropriate unit for atmospheric pressure

In the case of atmospheric pressures, the appropriate unit options are N (Newtons), Pa (Pascals), atm (atmospheres), and kg/m² (kilograms per square meter). While Newtons are primarily a unit for expressing force, and kg/m² is most commonly used to represent mass over an area, the most appropriate units for atmospheric pressures are Pa and atm. Both Pa and atm are widespread in their use for atmospheric pressures. Pascals are part of the International System of Units (SI), while atmospheres are commonly used in other contexts, such as weather reports.
03

Part (c): Gas at room temperature and atmospheric pressure

To determine which substance among Fâ‚‚, Brâ‚‚, or Kâ‚‚O is most likely to be a gas at room temperature and ordinary atmospheric pressure, we need to consider the states of each element at these conditions: 1. Fâ‚‚ (Fluorine) - a halogen that exists as a diatomic gas at room temperature and atmospheric pressure. 2. Brâ‚‚ (Bromine) - another halogen that exists as a diatomic liquid at room temperature and atmospheric pressure. 3. Kâ‚‚O (Potassium oxide) - a metal oxide that forms a solid compound at room temperature and atmospheric pressure. Thus, the substance most likely to be a gas at room temperature and ordinary atmospheric pressure is Fâ‚‚ (fluorine gas).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Density Measurement Units
Understanding the concept of density is critical in studying gases, and the most appropriate unit for expressing the density of a gas is grams per liter (g/L). This is because gases are much less dense compared to solids or liquids, and using g/L as a unit gives a quantity that is easy to handle and understand. For instance, when measuring higher densities, such as those of liquids and solids, using grams per cubic centimeter (g/cm³) or kilograms per cubic meter (kg/m³) is common. However, expressing gas densities in these units would result in impractical and small decimal figures due to their low density.

When conducting experiments or making observations, we often use gas density to compare the behavior of different gases under the same conditions. By providing this measure in g/L, students and scientists can readily calculate other important properties such as the molar mass of the gas or use it in equation derivations for laws like the Ideal Gas Law.
Atmospheric Pressure Units
Atmospheric pressure is the force exerted by the weight of air in the atmosphere of Earth. Units of measurement for atmospheric pressure are crucial for various scientific and practical applications, including weather forecasting and calibration of instruments. The Pascal (Pa), which is the SI unit of pressure, and atmospheres (atm) are the predominant units used for expressing atmospheric pressures. A Pascal represents the pressure exerted by a one-Newton force acting on a one-square-meter area. An atmosphere is a unit of pressure defined as being precisely equivalent to the pressure exerted by a column of mercury one millimeter high at standard gravity at a temperature of 0 degrees Celsius.

Other units include torr and bar, which are also used in certain contexts. Understanding these units helps to connect empirical data with theoretical models, enabling scientists and students alike to communicate their results and understandings of atmospheric phenomena clearly and effectively.
State of Matter at Room Temperature
The state of matter of a substance at room temperature and atmospheric pressure depends on the type of substance and its specific physical properties. Gases, such as fluorine (Fâ‚‚), are one of the three common states of matter at room temperature, alongside liquids and solids. Fluorine, being a diatomic gas, is a clear example of a substance that remains in a gaseous state under these conditions due to the weak intermolecular forces and the high energy of its particles. On the other hand, bromine (Brâ‚‚) is a liquid, and potassium oxide (Kâ‚‚O) is a solid at room temperature and atmospheric pressure.

The distinction between the physical states of these substances highlights the diversity of matter and its interactions. Educators and students must recognize these differences, as they play a fundamental role in chemical reactions, material properties, and the understanding of thermodynamics.

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Most popular questions from this chapter

Does the effect of intermolecular attraction on the properties of a gas become more significant or less significant if (a) the gas is compressed to a smaller volume at constant temperature; (b) the temperature of the gas is increased at constant volume?

(a) How high in meters must a column of glycerol be to exert a pressure equal to that of a \(760-\mathrm{mm}\) column of mercury? The density of glycerol is 1.26 \(\mathrm{g} / \mathrm{mL}\) , whereas that of mercury is 13.6 \(\mathrm{g} / \mathrm{mL}\) . (b) What pressure, in atmospheres, is exerted on the body of a diver if she is 15 ft below the surface of the water when the atmospheric pressure is 750 torr? Assume that the density of the water is \(1.00 \mathrm{g} / \mathrm{cm}^{3}=1.00 \times 10^{3} \mathrm{kg} / \mathrm{m}^{3} .\) The gravitational constant is \(9.81 \mathrm{m} / \mathrm{s}^{2},\) and \(1 \mathrm{Pa}=1 \mathrm{kg} / \mathrm{m}-\mathrm{s}^{2} .\)

Cyclopropane, a gas used with oxygen as a general anesthetic, is composed of 85.7\(\% \mathrm{C}\) and 14.3\(\% \mathrm{H}\) by mass. (a) If 1.56 \(\mathrm{g}\) of cyclopropane has a volume of 1.00 \(\mathrm{L}\) at 0.984 atm and \(50.0^{\circ} \mathrm{C},\) what is the molecular formula of cyclopropane? (b) Judging from its molecular formula, would you expect cyclopropane to deviate more or less than Ar from ideal-gas behavior at moderately high pressures and room temperature? Explain. (c) Would cyclopropane effuse through a pinhole faster or more slowly than methane, CH. \(_{4} ?\)

Suppose you have two 1 -L flasks, one containing \(\mathrm{N}_{2}\) at STP, the other containing \(\mathrm{CH}_{4}\) at STP. How do these systems compare with respect to (a) number of molecules, (b) density, (c) average kinetic energy of the molecules, (d) rate of effusion through a pinhole leak?

Ammonia and hydrogen chloride react to form solid ammonium chloride: $$\mathrm{NH}_{3}(g)+\mathrm{HCl}(g) \longrightarrow \mathrm{NH}_{4} \mathrm{Cl}(s)$$ Two 2.00 -L flasks at \(25^{\circ} \mathrm{C}\) are connected by a valve, as shown in the drawing. One flask contains 5.00 \(\mathrm{g}\) of \(\mathrm{NH}_{3}(g),\) and the other contains 5.00 \(\mathrm{g}\) of \(\mathrm{HCl}(g) .\) When the valve is opened, the gases react until one is completely consumed. (a) Which gas will remain in the system after the reaction is complete? (b) What will be the final pressure of the system after the reaction is complete? (Neglect the volume of the ammonium chloride formed.) (c) What mass of ammonium chloride will be formed?

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