Here are the essential concepts you must grasp in order to answer the question correctly.
Molarity
Molarity (M) is a measure of concentration defined as the number of moles of solute per liter of solution. In this case, the glucose solution has a molarity of 0.944 M, indicating that there are 0.944 moles of glucose in every liter of the solution. Understanding molarity is essential for converting to other concentration units, such as molality.
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Molality
Molality (m) is defined as the number of moles of solute per kilogram of solvent. It differs from molarity as it focuses on the mass of the solvent rather than the total volume of the solution. To calculate molality, one must know the mass of the solvent, which can be derived from the solution's density and volume.
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Density
Density is the mass per unit volume of a substance, typically expressed in grams per milliliter (g/mL) or kilograms per liter (kg/L). In this problem, the density of the glucose solution is given as 1.0624 g/mL, which is crucial for determining the mass of the solvent when calculating molality. Density allows us to convert between volume and mass, facilitating the calculation of molality from the given molarity.
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