A tank shown in Figure-2 below is used to mix methanol and salt. initially contains 1 m³ of methanol. Salt is provided into the t a volumetric flow rate of Fsalt = 0.2 m³ s1. A stream with perfect methanol and salt leaves the tank with a volumetric flow F = 0.1 m³ s1. As the flow is unsteady, the volume of mixture in V(t), is a function of time.
A tank shown in Figure-2 below is used to mix methanol and salt. initially contains 1 m³ of methanol. Salt is provided into the t a volumetric flow rate of Fsalt = 0.2 m³ s1. A stream with perfect methanol and salt leaves the tank with a volumetric flow F = 0.1 m³ s1. As the flow is unsteady, the volume of mixture in V(t), is a function of time.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
Transcribed Image Text:b) A tank shown in Figure-2 below is used to mix methanol and salt. The tank
initially contains 1 m³ of methanol. Salt is provided into the tank with
a volumetric flow rate of Fsalt= 0.2 m³ s¹. A stream with perfectly mixed
methanol and salt leaves the tank with a volumetric flow rate of
F = 0.1 m³ s1. As the flow is unsteady, the volume of mixture in the tank,
V(t), is a function of time.
Fsalt=0.2 m³/s
Psalt=2160 kg/m³
V(t)
F=0.1 m³/s
Figure-2: A mixing tank of methanol and salt.
d(V (t)Psalt)
dt
Salt+methanol
The mass balance of salt in the tank is given by,
d(V (t) (Psalt +Pmethanol))
dt
= Fsalt Psalt - FPsalt
where Psalt is the density of salt and equal to 2160 kgm ³. The total mass
in the tank is given by,
= Fsalt Psalt - FPsalt - FPmethanol
where Pmethanol is the density of methanol and equal to 800 kgm-³. When
the tank contains V = 0.5m³ of mixture, what is the mass of salt in the tank?
Use the explicit Euler finite difference method to discretise the balance
equations.
(Hint: First, discretise the total mass equation to find time when the volume
of mixture is equal to V = 0.5m³).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY