The osmotic pressure of human blood is 7.6 atm at 37^∘ C....

The osmotic pressure of human blood is 7.6 atm at $37^{\circ} \mathrm{C}$. What mass of glucose, $\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}$, is required to make 1.00 L of aqueous solution for intravenous feeding if the solution must have the same osmotic pressure as blood at body temperature, $37^{\circ} \mathrm{C}$ (assuming ideal solution behavior)?

Key Concepts

Temperature Conversion

Temperature conversion, particularly converting between Celsius and Kelvin, is important in physical chemistry calculations because the thermodynamic equations, including those for osmotic pressure, require the temperature to be expressed in absolute units (Kelvin) to ensure accuracy in the results.

Ideal Solution Behavior

Ideal solution behavior assumes that interactions between solute and solvent molecules mimic those in the pure substances. This simplifies calculations since the solute is considered to obey laws like Raoult’s law and no association or dissociation occurs, which is a common assumption in determining properties like osmotic pressure.

Molarity and Mass-Molar Mass Relationship

Molarity refers to the number of moles of solute per liter of solution, which is essential for calculating concentrations in solution chemistry. Converting between mass and moles using the molar mass of a solute is a fundamental skill in preparing solutions with specific properties, such as achieving a desired osmotic pressure.

Osmotic Pressure

Osmotic pressure is the pressure required to stop the flow of solvent into a solution through a semipermeable membrane. It is a colligative property that depends solely on the concentration of solute particles in a solution, which makes it a critical concept for understanding phenomena in biological systems and laboratory settings.

Colligative Properties

Colligative properties are characteristics of solutions that depend on the number of particles present in the solution rather than the identity of those particles. These properties, including osmotic pressure, boiling point elevation, freezing point depression, and vapor pressure lowering, allow predictions of solution behavior based on solute concentration.

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