Question

How do you calculate a bolus dose of insulin?

Answer 1

To calculate the osmotic pressure of a bovine insulin solution, covert the insulin mass to moles, find molarity, and apply the osmotic pressure equation. The osmotic pressure of the solution is found to be 0.00428 atm at 18°C.

Step-by-step explanation:

Calculating Osmotic Pressure of a Bovine Insulin Solution

To calculate the osmotic pressure of a bovine insulin solution, you would follow these steps:

1. Convert the mass of insulin to moles using the molar mass.
2. Calculate molarity by dividing the moles of insulin by the volume of the solution in liters.
3. Apply the osmotic pressure equation π = iMRT, where π is the osmotic pressure, i is the van't Hoff factor (for non-ionizing substances like insulin, i = 1), M is the molarity of the solution, R is the ideal gas constant, and T is the absolute temperature in Kelvin.

To answer the question:

1. 0.103 g of insulin / 5700 g/mol = 1.81 x 10^-5 moles.
2. Molarity = 1.81 x 10^-5 moles / 0.1 L = 1.81 x 10^-4 M.
3. Osmotic pressure π = (1)(1.81 x 10^-4 M)(0.0821 L atm K^-1 mol^-1)( 18 + 273.15 K) = 0.00428 atm.

The osmotic pressure is 0.00428 atm for the insulin solution at 18°C.