FUNDAMENTALS OF THERMODYNAMICS
10th Edition
ISBN: 9781119803645
Author: Sonntag
Publisher: WILEY
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Chapter 1, Problem 1.73EP
A car of mass
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Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank
A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each
tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of
6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If,
initially, tank A contains pure water and tank B contains 20 kg of salt.
A
6 L/min
0.2 kg/L
x(t)
100 L
4 L/min
x(0) = 0 kg
3 L/min
1 L/min
B
y(t)
100 L
y(0) = 20 kg
2 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t≥ 0:
Analytically (hand calculations)
Using MATLAB Numerical Functions (ode45)
Creating Simulink Model
Plot all solutions on the same graph for the first 15 min. The graph must be fully formatted by code.
5. Estimate the friction pressure gradient in a 10.15 cm bore unheated horizontal
pipe for the following conditions:
Fluid-propylene
Pressure 8.175 bar
Temperature-7°C
Mass flow of liquid-2.42 kg/s. Density of liquid-530 kg/m³
Mass flow of vapour-0.605 kg/s. Density of vapour-1.48 kg/m³
Describe the following HVAC systems.
a) All-air systems
b) All-water systems
c) Air-water systems
Graphically represent each system with a sketch.
Chapter 1 Solutions
FUNDAMENTALS OF THERMODYNAMICS
Ch. 1 - Separate the list P,F,V,,T,a,m,L,t, and V into...Ch. 1 - A tray of liquid water is placed in a freezer...Ch. 1 - The overall density of fibers, rock wool...Ch. 1 - Is density a unique measure of mass distribution...Ch. 1 - Water in nature exists in three different phases:...Ch. 1 - What is the approximate mass of 1 L of gasoline?...Ch. 1 - Can you carry 1m3 of liquid water?Ch. 1 - A heavy refrigerator has four height-adjustable...Ch. 1 - A swimming pool has an evenly distributed pressure...Ch. 1 - If something floats in water, what does it say...
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