Pure water has very few ions (about 1.2 ×10^14 ions per cubic centimeter), giving it a high resi

Name: Problem 29, Chapter 18: Physics
Uploaded: 2021-04-28T13:54:01-08:00
Duration: 1 min 23 s
Channel: Narayan Hari
Description: Pure water has very few ions (about 1.2 ×10^14 ions per cubic centimeter), giving it a high resistivity, about 1 ×10^5 Ω·m at 37^∘ C . Blood plasma has a much lower resistivity of roughly 0.6 Ω·m at 37^∘ C due to the ions dissolved in the plasma. Assuming the resistivity depends only on the concentration of ions, how many ions per cubic centimeter are in blood plasma?

step 1 As we all know that, resistivity is inversely proportional to number of ions. So, row n is equal

Pure water has very few ions (about 1.2 ×10^14 ions per...

Pure water has very few ions (about $1.2 \times 10^{14}$ ions per cubic centimeter), giving it a high resistivity, about $1 \times 10^{5} \Omega \cdot \mathrm{m}$ at $37^{\circ} \mathrm{C} .$ Blood plasma has a much lower resistivity of roughly $0.6 \Omega \cdot \mathrm{m}$ at $37^{\circ} \mathrm{C}$ due to the ions dissolved in the plasma. Assuming the resistivity depends only on the concentration of ions, how many ions per cubic centimeter are in blood plasma?

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Key Concepts

Inverse Proportionality of Resistivity and Ion Concentration

In many conductive materials and solutions, there is an inverse relationship between resistivity and ion concentration. This means that as the number of charge carriers (ions) increases, the resistivity decreases. This concept is essential in explaining how changes in ionic content affect the electrical properties of a substance.

Ion Concentration

Ion concentration refers to the number of ions present per unit volume in a solution. In conductive media, the presence of ions is responsible for carrying electrical charge, and thus their concentration directly impacts the material's ability to conduct electricity.

Electrical Resistivity

Electrical resistivity is a property that quantifies how strongly a material opposes the flow of electric current. It is measured in ohm-meters (?·m) and is crucial for understanding the conduction properties of different materials, including liquids such as water and biological fluids.

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