Suppose:• The vat contains 230 gallons of liquid, which never changes.• Sugar water with a concentration of 7 tablespoons/gallon flows through pipe A into the vat at therate of 5 gallons/minute.●Sugar water with a concentration of 3 tablespoons/gallon flows through pipe B into the vat at therate of 25 gallons/minute.• The liquid in the vat is kept well-mixed.• Sugar water leaves the vat through pipe C at the rate of 30 gallons/minute.Let S(t) represent the number of tablespoons of sugar in the vat at time t, where t is given in minutes.(A) Write the DE model for the time rate of change of sugar in the vat:dS2530-3523Xdt(B) Solve the differential equation to find the amount of sugar in the vat as a function of time. Yourfunction will have an arbitrary constant K in it. Assume that K > 0.S(t)= 250- KeX(C) Suppose that there are 22 tablespoons of sugar in the vat at t = 0. How many tablespoons will bepresent 2 minutes later?42x tablespoonsO# 33с14$%6&877O*O✔C Consider a large vat containing sugar water that is to be made into soft drinks (see figure below).ABSuppose:• The vat contains 230 gallons of liquid, which never changes.• Sugar water with a concentration of 7 tablespoons/gallon flows through pipe A into the vat at therate of 5 gallons/minute.• Sugar water with a concentration of 3 tablespoons/gallon flows through pipe B into the vat at therate of 25 gallons/minute.• The liquid in the vat is kept well-mixed.Sugar water leaves the vat through pipe C at the rate of 30 gallons/minute.Let S(t) represent the number of tablespoons of sugar in the vat at time t, where t is given in minutes.(A) Write the DE model for the time rate of change of sugar in the vat:dS2530-3523Xdt(B) Solve the differential equation to find the amount of sugar in the vat as a function of time. Yourfunction will have an arbitrary constant K in it. Assume that K > 0.S(t)= 250- KeX(C) Suppose that there are 22 tablespoons of sugar in the vat at t = 0. How many tablespoons will bepresent 2 minutes later?M

Introduction: In this issue, we will determine the rate of change of sugar in the vat while sugar…

C Suppose: • The vat contains 230 gallons of liquid, which never changes. ● Sugar water with a concentration of 7 tablespoons/gallon flows through pipe A into the vat at the rate of 5 gallons/minute. • Sugar water with a concentration of 3 tablespoons/gallon flows through pipe B into the vat at the rate of 25 gallons/minute. • The liquid in the vat is kept well-mixed. • Sugar water leaves the vat through pipe C at the rate of 30 gallons/minute.

C Suppose: • The vat contains 230 gallons of liquid, which never changes. ● Sugar water with a concentration of 7 tablespoons/gallon flows through pipe A into the vat at the rate of 5 gallons/minute. • Sugar water with a concentration of 3 tablespoons/gallon flows through pipe B into the vat at the rate of 25 gallons/minute. • The liquid in the vat is kept well-mixed. • Sugar water leaves the vat through pipe C at the rate of 30 gallons/minute.

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

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Concept explainers

Fluid Dynamics

The study of the flow of gases and liquids, usually in and around solid surfaces, is known as fluid dynamics in physics and engineering. Fluid dynamics, for example, can be used to evaluate the movement of air through an airplane wing or the surface of a vehicle. It can also be used in ship design to increase the speed at which ships pass through water.

Question

Suppose:
• The vat contains 230 gallons of liquid, which never changes.
• Sugar water with a concentration of 7 tablespoons/gallon flows through pipe A into the vat at the
rate of 5 gallons/minute.
●
Sugar water with a concentration of 3 tablespoons/gallon flows through pipe B into the vat at the
rate of 25 gallons/minute.
• The liquid in the vat is kept well-mixed.
• Sugar water leaves the vat through pipe C at the rate of 30 gallons/minute.
Let S(t) represent the number of tablespoons of sugar in the vat at time t, where t is given in minutes.
(A) Write the DE model for the time rate of change of sugar in the vat:
dS
2530-35
23
X
dt
(B) Solve the differential equation to find the amount of sugar in the vat as a function of time. Your
function will have an arbitrary constant K in it. Assume that K > 0.
S(t)= 250- Ke
X
(C) Suppose that there are 22 tablespoons of sugar in the vat at t = 0. How many tablespoons will be
present 2 minutes later?
42
x tablespoons
O
# 3
3
с
14
$
%
6
&
87
7
O
*
O
✔
C

Consider a large vat containing sugar water that is to be made into soft drinks (see figure below).
A
B
Suppose:
• The vat contains 230 gallons of liquid, which never changes.
• Sugar water with a concentration of 7 tablespoons/gallon flows through pipe A into the vat at the
rate of 5 gallons/minute.
• Sugar water with a concentration of 3 tablespoons/gallon flows through pipe B into the vat at the
rate of 25 gallons/minute.
• The liquid in the vat is kept well-mixed.
Sugar water leaves the vat through pipe C at the rate of 30 gallons/minute.
Let S(t) represent the number of tablespoons of sugar in the vat at time t, where t is given in minutes.
(A) Write the DE model for the time rate of change of sugar in the vat:
dS
2530-35
23
X
dt
(B) Solve the differential equation to find the amount of sugar in the vat as a function of time. Your
function will have an arbitrary constant K in it. Assume that K > 0.
S(t)= 250- Ke
X
(C) Suppose that there are 22 tablespoons of sugar in the vat at t = 0. How many tablespoons will be
present 2 minutes later?
M

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Please show system sketches and related energy flows for all problems. 1.1 Determine the electrical power supplied to a boiler when the temperature of the entering water is 20 C and the exiting temperature is 89 C. The flow of the pressured water is 2 Kg/s. There is a negligible pressure drop through this boiler and it operates at a constant pressure of 3 bars. The specific heat is c = 4,370 J/(Kg K). There is a 1.5(105 ) W rate of heat loss from the boiler during this process to a surrounding at 293.2 k. Consider steady state conditions. 1.4 Calculate the mass flowrate of fuel (natural gas, CH4) required to heat the water flow to the conditions of problem 1.1 if the electrical heating device is replaced with a gas fired boiler. The high heating value (HHV) of the fuel is 50.02 MJ/kg. 1.5 Calculate the exergy destroyed in the process described by problem 1.4. The exergy of the fuel entering this process is 51.82 MJ/Kg. The dead state temperature is 293.2 K and pressure is 1 bar. The…
You are to spray an 80-acre field that will be planted to alfalfa with 32 oz/ac Roundup, 1.5 pints/ac of Treflan, and 17lbs AMS/100 gallon spray. If your sprayer is calibrated to apply 10GPA carrier volume and holds 800-gallons how much AMS do you need to add to your sprayer to condition your water, and how many gallons of Roundup and Treflan do you need to add to your sprayer so that you apply the proper rate?
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