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The Environmental Protection Agency has set the limit for arsenic in drinking water at 0.010 ppm. To what volume would you need to dilute 1.5 L of water containing 5.0 ppm arsenic to reach the acceptable limit?
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Ch.9 Solutions
McMurry8th EditionFundamentals of General, Organic, and Biological ChemistryISBN: 9780134015187
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TOC.tableOfContents
- Ch.1 Matter and Measurements27
- Ch.2 Atoms and the Periodic Table20
- Ch.3 Ionic Compounds8
- Ch.4 Molecular Compounds23
- Ch.5 Classification & Balancing of Chemical Reactions12
- Ch.6 Chemical Reactions: Mole and Mass Relationships28
- Ch.7 Chemical Reactions: Energy, Rate and Equilibrium64
- Ch.8 Gases, Liquids and Solids24
- Ch.9 Solutions52
- Ch.10 Acids and Bases25
- Ch.11 Nuclear Chemistry22
- Ch.12 Introduction to Organic Chemistry: Alkanes57
- Ch.13 Alkenes, Alkynes, and Aromatic Compounds47
- Ch.14 Some Compounds with Oxygen, Sulfur, or a Halogen50
- Ch.15 Aldehydes and Ketones45
- Ch.16 Amines42
- Ch.17 Carboxylic Acids and Their Derivatives57
- Ch.18 Amino Acids and Proteins82
- Ch.19 Enzymes and Vitamins63
- Ch.20 Carbohydrates44
- Ch.21 The Generation of Biochemical Energy65
- Ch.22 Carbohydrate Metabolism45
- Ch.23 Lipids42
- Ch.24 Lipid Metabolism33
- Ch.25 Protein and Amino Acid Metabolism24
- Ch.26 Nucleic Acids and Protein Synthesis45
McMurry8th EditionFundamentals of General, Organic, and Biological ChemistryISBN: 9780134015187Non è quello che usi tu?Cambia libro di testo
Capitolo 9, Problema 14
The concentration of cholesterol (C27H46O) in blood is approximately 5.0 mM. How many grams of cholesterol are in 250 mL of blood?
Guida verificata passo dopo passo1
Step 1: Understand the problem. We are tasked with finding the mass of cholesterol (C₂₇H₄₆O) in grams, given its concentration in millimolar (mM) and the volume of blood in milliliters (mL).
Step 2: Convert the concentration from millimolar (mM) to molar (M). Recall that 1 mM = 10⁻³ M. Multiply the given concentration (5.0 mM) by 10⁻³ to express it in mol/L.
Step 3: Calculate the number of moles of cholesterol in the given volume of blood. Use the formula: \( \text{moles} = \text{concentration (M)} \times \text{volume (L)} \). Convert the volume from mL to L by dividing by 1000 (since 1 L = 1000 mL).
Step 4: Determine the molar mass of cholesterol (C₂₇H₄₆O). Add the atomic masses of all the atoms in the molecular formula: \( 27 \times \text{atomic mass of C} + 46 \times \text{atomic mass of H} + 1 \times \text{atomic mass of O} \). Use the periodic table to find the atomic masses (C = 12.01 g/mol, H = 1.008 g/mol, O = 16.00 g/mol).
Step 5: Calculate the mass of cholesterol in grams. Use the formula: \( \text{mass (g)} = \text{moles} \times \text{molar mass (g/mol)} \). Multiply the number of moles (from Step 3) by the molar mass (from Step 4) to find the mass of cholesterol in the given volume of blood.
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Molarity
Molarity is a measure of concentration defined as the number of moles of solute per liter of solution. In this context, a concentration of 5.0 mM (millimolar) indicates that there are 5.0 millimoles of cholesterol in every liter of blood. Understanding molarity is essential for converting between volume and mass in chemical calculations.
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00:53
Molarity
Molecular Weight
Molecular weight is the mass of one mole of a substance, expressed in grams per mole (g/mol). For cholesterol (C₂₇H₄₆O), the molecular weight is approximately 386.65 g/mol. This value is crucial for converting moles of cholesterol into grams, allowing for the calculation of the total mass present in a given volume of blood.
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02:08Molecular Formula
Volume Conversion
Volume conversion involves changing the measurement of volume from one unit to another, such as from milliliters (mL) to liters (L). Since molarity is expressed in moles per liter, it is necessary to convert the volume of blood (250 mL) into liters (0.250 L) to accurately calculate the amount of cholesterol in grams using the concentration and molecular weight.
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02:10Conversion Factors (Simplified) Concept 2
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