Question

The DoD device is to be automated, so that the operator enters a patient's body weight into a computer that determines the required solution volume and causes that volume to be sprayed on the substrate. Derive a formula for the volume, V dose (mL), in terms of the following variables: Mₛ (molAPI/L)= molarity of reservoir solution SG ₛ = specific gravity of reservoir solution MWₐₚᵢ (g/mol)= molecular weight of API D ( mgAPI/kg body weight )= prescribed dosage Wₚ (lbf)= patient's weight Check your formula by verifying your solution to Part (a).

Answer 1

The formula for the volume is V_dose = (D x W_p) / (M_s x SG_s x MW_api). It requires the variables M_s, SG_s, MW_api, D, and W_p. A step-by-step example is provided.

Step-by-step explanation:

To derive the formula for the volume, Vdose (mL), we need to take into account the variables: Ms (molAPI/L), SGs (specific gravity of reservoir solution), MWapi (molecular weight of API), D (mgAPI/kg body weight), and Wp (patient's weight).

The formula for the volume is:

Vdose = (D × Wp) / (Ms × SGs × MWapi)

For example, if we have a patient with a weight of 70 kg and a prescribed dosage of 10 mgAPI/kg body weight, and we know that the molarity of the reservoir solution is 0.1 molAPI/L, the specific gravity is 1.2, and the molecular weight of the API is 100 g/mol, we can calculate the volume as follows:

Vdose = (10 mgAPI/kg body weight × 70 kg) / (0.1 molAPI/L × 1.2 × 100 g/mol) = 58.33 mL