The concentration of glucose (C6H12O6) in normal blood is approximately 90 mg per 100 mL. What is the molarity of the glucose?

Verified step by step guidance

1. insert step 1> Calculate the molar mass of glucose (C_6H_{12}O_6) by adding the atomic masses of all the atoms in the molecule.
2. insert step 2> Convert the mass of glucose from milligrams to grams, since molarity is expressed in moles per liter and uses grams for mass.
3. insert step 3> Convert the volume from milliliters to liters, as molarity is defined in terms of liters.
4. insert step 4> Use the formula for molarity: \( M = \frac{\text{moles of solute}}{\text{liters of solution}} \). First, calculate the moles of glucose using the mass in grams and the molar mass.
5. insert step 5> Substitute the moles of glucose and the volume in liters into the molarity formula to find the molarity of the glucose solution.

Key Concepts

Molarity

Molarity is a measure of concentration defined as the number of moles of solute per liter of solution. It is expressed in units of moles per liter (mol/L). To calculate molarity, one must know the amount of solute in grams and the volume of the solution in liters, allowing for the conversion of mass to moles using the molar mass of the solute.

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). For glucose (C6H12O6), the molar mass can be calculated by summing the atomic masses of all the atoms in its molecular formula. This value is essential for converting grams of glucose to moles, which is necessary for determining molarity.

Volume Conversion

Volume conversion is the process of converting units of volume to ensure consistency in calculations. In this context, the concentration of glucose is given in mg per 100 mL, which needs to be converted to liters (1 L = 1000 mL) for molarity calculations. Understanding how to convert between these units is crucial for accurate concentration measurements.