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Which of the these statements are qualitative? Which are quantitative? Explain your choice in each case. (a) The atomic mass of carbon is \(12.011(12.011\) atomic mass units). (b) Pure aluminum is a silvery-white metal that is nonmagnetic, has a low density, and does not produce sparks when struck. (c) Sodium has a density of \(0.968 \mathrm{~g} / \mathrm{mL}\). (d) In animals the sodium cation, \(\mathrm{Na}^{+}\), is the main extracellular cation and is important for nerve function.

Short Answer

Expert verified
(a) and (c) are quantitative; (b) and (d) are qualitative.

Step by step solution

01

Understanding Qualitative vs Quantitative

First, we need to define the terms: Quantitative data relates to measurements and numbers (think 'quantity'), while qualitative data describes qualities or characteristics without numbers (think 'quality').
02

Analyzing Statement (a)

Statement (a) 'The atomic mass of carbon is 12.011 atomic mass units' involves a numerical value, which makes it quantitative. This statement provides a specific measurement of the carbon atom's mass.
03

Analyzing Statement (b)

Statement (b) 'Pure aluminum is a silvery-white metal that is nonmagnetic, has a low density, and does not produce sparks when struck' describes the qualities and characteristics of aluminum without using numbers, thus it is a qualitative statement.
04

Analyzing Statement (c)

Statement (c) 'Sodium has a density of 0.968 g/mL' gives us a numerical measure of sodium's density, which makes it quantitative. It specifies a quantity related to density.
05

Analyzing Statement (d)

Statement (d) 'In animals, the sodium cation, Na+, is the main extracellular cation and is important for nerve function' provides information about the role and function of Na+ in animals, which is descriptive and not numerical, so it is qualitative.

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Key Concepts

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

Atomic Mass
Every element on the periodic table has a specific atomic mass, which is a weighted average of the masses of its isotopes. Atomic mass is usually expressed in atomic mass units (amu), where one amu is defined as one twelfth of the mass of a carbon-12 atom. Carbon, for example, has an atomic mass of about 12.011 amu. This number indicates the average mass of carbon atoms, factoring in the relative abundance of each isotope of carbon found in nature. Atomic mass is crucial for understanding chemical reactions and stoichiometry because it helps predict how atoms will interact. For example, knowing the atomic mass allows chemists to compute molar mass, a key concept in quantifying and balancing chemical reactions.
Density
Density is a physical property of matter, defined as an object's mass per unit volume. The formula to calculate density is \( \rho = \frac{m}{V} \), where \( \rho \) (rho) is the density, \( m \) is the mass, and \( V \) is the volume. Considering density provides insight into how substances will behave in different environments.Sodium, a soft, silvery-white, highly reactive metal, has a density of 0.968 g/mL. This numeric value classifies it as a quantitative measure. Knowing the density of sodium is important in various applications, such as in predicting how it will interact with water and other substances, or even its role in biological systems.
Sodium Cation
The sodium cation, \( \mathrm{Na}^{+} \), is an essential electrolyte in many physiological processes. It plays a key role in maintaining blood pressure, nerve function, and muscle movement. Generally, sodium ions are found outside of cells, hence termed "extracellular."In animals, the regulation of sodium ions is vital for the transmission of electrical signals in the nervous system. The movement of these ions across cell membranes influences the conduction of nerve impulses. The qualitative aspects of sodium ions, such as their functional roles in biological systems, can be emphasized beyond just their numerical presence. Sodium cations are pivotal in electrolyte balance and overall bodily functions.
Aluminum Properties
Aluminum is a versatile metal known for its unique set of properties that make it valuable in various industries. It is lightweight, with a low density of approximately 2.7 g/cm³, making it ideal for applications where reducing weight is essential, such as in aerospace and automotive industries. The metal is silvery-white in appearance and exhibits nonmagnetic properties. Aluminum is also known for its ability not to produce sparks when struck, making it safer in flammable or explosive environments. Moreover, aluminum is malleable, corrosion-resistant, and a good conductor of electricity and heat. These qualitative characteristics highlight aluminum’s usefulness and adaptability across numerous environments and applications.

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Most popular questions from this chapter

When \(12.6 \mathrm{~g}\) calcium carbonate (the principal component of chalk) is treated with \(63.0 \mathrm{~mL}\) hydrochloric acid (muriatic acid sold in hardware stores; density \(=1.096 \mathrm{~g} / \mathrm{mL}\) ), the calcium carbonate reacts with the acid, goes into solution, and carbon dioxide gas bubbles out of the solution. After all of the carbon dioxide has escaped, the solution weighs \(76.1 \mathrm{~g} .\) Calculate the volume (in liters) of carbon dioxide gas that was produced. (The density of the carbon dioxide gas is \(1.798 \mathrm{~g} / \mathrm{L}\).)

At \(25^{\circ} \mathrm{C}\) the density of water is \(0.997 \mathrm{~g} / \mathrm{mL},\) whereas the density of ice at \(-10^{\circ} \mathrm{C}\) is \(0.917 \mathrm{~g} / \mathrm{mL}\) (a) If a plastic soft-drink bottle (volume \(=250 \mathrm{~mL}\) ) is completely filled with pure water, capped, and then frozen at \(-10^{\circ} \mathrm{C},\) what volume will the solid occupy? (b) What will the bottle look like when you take it out of the freezer?

When \(1.0000 \mathrm{~g}\) silver chloride \((\mathrm{AgCl})\) is all converted to silver iodide \((\mathrm{AgI}), 1.6381 \mathrm{~g} \mathrm{AgI}\) is formed. You know that an atom of iodine has 3.580 times the mass of an atom of chlorine; calculate the mass of silver in each sample. Also calculate the mass of chlorine in the \(\mathrm{AgCl}\) sample and the mass of iodine in the AgI sample.

Classify the information in each of these statements as quantitative or qualitative and as relating to a physical or chemical property. (a) A white chemical compound has a mass of \(1.456 \mathrm{~g}\). When placed in water containing a dye, it causes the red color of the dye to fade to colorless. (b) A sample of lithium metal, with a mass of \(0.6 \mathrm{~g}\), was placed in water. The metal reacted with the water to produce the compound lithium hydroxide and the element hydrogen.

Rivers add salt (sodium chloride, \(\mathrm{NaCl}\) ) to the oceans of the world at a rate of approximately \(2 \times 10^{16} \mathrm{~g} / \mathrm{yr}\). Assume that Earth is a sphere with a diameter of \(8,000 \mathrm{mi}\), \(67 \%\) of which is covered by oceans to a depth of \(1 \mathrm{mi} .\) The average sodium chloride concentration of the oceans is \(3 \% \mathrm{NaCl}\) by mass and the average density of seawater is \(1.03 \mathrm{~g} / \mathrm{cm}^{3}\). If the rate at which the \(\mathrm{NaCl}\) addition to the oceans has been constant, calculate the approximate age of the oceans. Comment on the reasonableness of your answer given that the age of Earth is \(4.5 \times 10^{9}\) yr.

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