A pharmaceutical mixture consisting of 60 mass % A and the balance B. The particles are spherical. The particle density of A is 500 and that of B is 700 kg/m3. The cumulative undersize mass distributions of the two components are shown below. If samples of 1 g (corresponding to a single dose) are withdrawn from the mixture, determine the following: size (µm)450 500 600 700 850 1000 1200 1400 1700 2100 N3A (cumulative A undersized by mass)0 0.02 0.04 0.07 0.12 0.19 0.32 0.5 0.8 1N3B (cumulative B undersized by mass)0 0 0.08 0.21 0.44 0.68 0.88 1 1 1 a) total number of particles of component A in a 1 g of pure A (correct answer: 4334)b) total number of particles of component B in a 1 g of pure B (correct answer: 5338)c) expected standard deviation between the samples for a random mix of the composition in % based on number using the equation of Lacy (correct answer: 0.7559)d) expected standard deviation between the samples for a mixture in an unmixed state of the composition in % based on number using the equation of Lacy (correct answer: 48.99)

(a).To determine the total number of particles of component A in 1 g of pure A, we'll use the…

Answered: A pharmaceutical mixture consisting of…

Introduction to Chemical Engineering Thermodynamics

8th Edition

ISBN:9781259696527

Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Chapter1: Introduction

Section: Chapter Questions

Problem 1.1P

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A pharmaceutical mixture consisting of 60 mass % A and the balance B. The particles are spherical. The particle density of A is 500 and that of B is 700 kg/m³. The cumulative undersize mass distributions of the two components are shown below. If samples of 1 g (corresponding to a single dose) are withdrawn from the mixture, determine the following:

size (µm)

450 500 600 700 850 1000 1200 1400 1700 2100

N3_A (cumulative A undersized by mass)

0 0.02 0.04 0.07 0.12 0.19 0.32 0.5 0.8 1

N3_B (cumulative B undersized by mass)

0 0 0.08 0.21 0.44 0.68 0.88 1 1 1

a) total number of particles of component A in a 1 g of pure A (correct answer: 4334)
b) total number of particles of component B in a 1 g of pure B (correct answer: 5338)
c) expected standard deviation between the samples for a random mix of the composition in % based on number using the equation of Lacy (correct answer: 0.7559)
d) expected standard deviation between the samples for a mixture in an unmixed state of the composition in % based on number using the equation of Lacy (correct answer: 48.99)

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