(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, $\mathrm{N}, \mathrm{Pa}, \mathrm{atm}, \mathrm{kg} / \mathrm{m}^{2} ?$ (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

Expert verified
(a) The density of a gas is more likely to be reported in \(g/L\). (b) The appropriate units for expressing atmospheric pressure are \(Pa\) and \(atm\). (c) Among \(F_2\), \(Br_2\), and \(K_2O\), fluorine (\(F_2\)) is most likely to be a gas at room temperature and ordinary atmospheric pressure.

Step by step solution

01

(Part a: Determine the most common units for gas density)

The density of a gas is usually reported in units that take up the lightness and the relatively large volume occupied by gases. The most common units for gas density are grams per liter (g/L) since these units represent the mass of a gas in a large volume. Therefore, the density of a gas is more likely to be reported in g/L.
02

(Part b: Identify the units for atmospheric pressure)

Atmospheric pressure can be expressed in several units, including Newtons (N), Pascals (Pa), atmospheres (atm), and kg/m². However, some units are more appropriate and commonly used to express atmospheric pressure. Pascals (Pa) and atmospheres (atm) are the most common units to express atmospheric pressure since they directly relate to the force exerted by the atmosphere on a given area. Therefore, Pa and atm are the appropriate units for expressing atmospheric pressure.
03

(Part c: Predict which substance is a gas at room temperature and atmospheric pressure)

To predict which substance will be a gas at room temperature and atmospheric pressure (F2, Br2, or K2O), we should consider the intermolecular forces and the molecular weight of each substance. 1. F2 (Fluorine) is a diatomic gas, and Halogens (group 17 elements) have weak London dispersion forces between their molecules. F2 has the lowest molecular weight among the halogens, making it more likely to be a gas at room temperature. 2. Br2 (Bromine) is also a halogen, but it is a liquid at room temperature due to its heavier molecular weight, which results in stronger London dispersion forces compared to F2. 3. K2O (Potassium Oxide) is an ionic compound composed of potassium and oxygen ions. Ionic compounds have strong electrostatic forces between the ions, which result in high melting and boiling points. Therefore, K2O is most likely to be a solid at room temperature. Taking these factors into consideration, F2 (fluorine) is the most likely to be a gas at room temperature and ordinary atmospheric pressure.

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Most popular questions from this chapter

The temperature of a \(5.00-\mathrm{L}\) container of \(\mathrm{N}_{2}\) gas is increased from \(20^{\circ} \mathrm{C}\) to \(250^{\circ} \mathrm{C}\). If the volume is held constant, predict qualitatively how this change affects the following: (a) the average kinetic energy of the molecules; (b) the rootmean- square speed of the molecules; (c) the strength of the impact of an average molecule with the container walls; \(\mathbf{d}\) ) the total number of collisions of molecules with walls per second.

The metabolic oxidation of glucose, $\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6},\( in our bodies produces \)\mathrm{CO}_{2}$, which is expelled from our lungs as a gas: $$\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}(a q)+6 \mathrm{O}_{2}(g) \longrightarrow 6 \mathrm{CO}_{2}(g)+6 \mathrm{H}_{2} \mathrm{O}(l)$$ (a) Calculate the volume of dry \(\mathrm{CO}_{2}\) produced at normal body temperature, \(37^{\circ} \mathrm{C},\) and \(101.33 \mathrm{kPa}\) when $10.0 \mathrm{~g}$ of glucose is consumed in this reaction. (b) Calculate the volume of oxygen you would need, at \(100 \mathrm{kPa}\) and \(298 \mathrm{~K},\) to completely oxidize \(15.0 \mathrm{~g}\) of glucose.

Suppose you have a fixed amount of an ideal gas at a constant volume. If the pressure of the gas is doubled while the volume is held constant, what happens to its temperature? [Section 10.4\(]\)

Consider the following gases, all at STP: $\mathrm{Ne}, \mathrm{SF}_{6}, \mathrm{~N}_{2}, \mathrm{CH}_{4}$. (a) Which gas is most likely to depart from the assumption of the kinetic- molecular theory that says there are no attractive or repulsive forces between molecules? (b) Which one is closest to an ideal gas in its behavior? (c) Which one has the highest root-mean-square molecular speed at a given temperature? (d) Which one has the highest total molecular volume relative to the space occupied by the gas? (e) Which has the highest average kinetic- molecular energy? (f) Which one would effuse more rapidly than $\mathrm{N}_{2} ?\( (g) Which one would have the largest van der Waals \)b$ parameter?

(a) Place the following gases in order of increasing average molecular speed at $300 \mathrm{~K}: \mathrm{CO}, \mathrm{SF}_{6}, \mathrm{H}_{2} \mathrm{~S}, \mathrm{Cl}_{2}, \mathrm{HBr}$. (b) Calculate the rms speeds of \(\mathrm{CO}\) and \(\mathrm{Cl}_{2}\) molecules at \(300 \mathrm{~K}\). (c) Calculate the most probable speeds of \(\mathrm{CO}\) and \(\mathrm{Cl}_{2}\) molecules at \(300 \mathrm{~K}\).

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