A radioactive waste that contains 1500 ppm(by mole) of 92Sr (Strontium) is pumped at the rate of1.5x10-3 m3/min into a holding tank that contains 0.40 m3. 92Sr decays to Yttirium as follows:92Sr -> 92YThe rate of decay of such isotopes is dN/dt=λN, where λ=0.693/t1/2. The half-life is t1/2, which is 2.7 hours for 92Sr. N is the number of moles of the isotope. The tank contains clear water initially and the solution exits at the rate of 1.5x10-3 m3/min. Assume perfect mixing and that the minute amounts of isotopes do not change the density of the waste significantly from pure water.What is the concentration of 92Sr after 1 day?What is the equilibrium concentration of 92Sr in the tank?

Given data: Initial concentration of strontium = 1500 ppm (moles) Volumetric flow rate = 1.5 ×10–3…

Answered: A radioactive waste that contains 1500…

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 radioactive waste that contains 1500 ppm(by mole) of 92Sr (Strontium) is pumped at the rate of1.5x10-3 m3/min into a holding tank that contains 0.40 m3. 92Sr decays to Yttirium as follows:

92Sr -> 92Y

The rate of decay of such isotopes is dN/dt=λN, where λ=0.693/t1/2. The half-life is t1/2, which is 2.7 hours for 92Sr. N is the number of moles of the isotope. The tank contains clear water initially and the solution exits at the rate of 1.5x10-3 m3/min. Assume perfect mixing and that the minute amounts of isotopes do not change the density of the waste significantly from pure water.
1. What is the concentration of 92Sr after 1 day?
2. What is the equilibrium concentration of 92Sr in the tank?

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