7. A 100-gal tank contains 40 gal of an alcohol-water solution 2 gal of which is alcohol. A solution con- taining 0.5 gal alcohol/gal runs into the tank at a rate of 3 gal/min and the well-stirred mixture leaves the tank at a rate of 2 gal/min. a) How many gallons of alcohol are in the tank after 10 minutes? b) How many gallons of alcohol are in the tank when it overflows?
7. A 100-gal tank contains 40 gal of an alcohol-water solution 2 gal of which is alcohol. A solution con- taining 0.5 gal alcohol/gal runs into the tank at a rate of 3 gal/min and the well-stirred mixture leaves the tank at a rate of 2 gal/min. a) How many gallons of alcohol are in the tank after 10 minutes? b) How many gallons of alcohol are in the tank when it overflows?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Number 7 part a and b modeling with differential equations ?
Transcribed Image Text:s section can be found in Exercises 17-22.
equations not covered in
eneur re-
io worth
10% per
thdraws
live on,
5. Cesium 137 has a half-life of approximately 30
years. If cesium 137 is entering a cesium-free pond
at a rate of 1 lb/year, approximately how many
pounds of cesium 137 will be in the pond after 30
years?
ey?
6. A drum contains 30 g of radioactive cobalt 60 sus-
pended in liquid. Because the drum has a small leak,
0.1 g of radioactive cobalt 60 escapes from the drum
each
mploy-
est rate
ployee
00 per
ave in
year. If the half-life of radioactive cobalt 60 is
about 5.3 years, about how many grams of radioac-
tive cobalt 60 are left in the drum after 10 years?
rts at
T this
n the
7. A 100-gal tank contains 40 gal of an alcohol-water
solution 2 gal of which is alcohol. A solution con-
taining 0.5 gal alcohol/gal runs into the tank at a rate
of 3 gal/min and the well-stirred mixture leaves the
tank at a rate of 2 gal/min.
con-
on in
a) How many gallons of alcohol are in the tank
after 10 minutes?
lion
b) How many gallons of alcohol are in the tank
when it overflows?
our.
8. A 500-gal tank contains 200 gal fresh water. Salt wa-
ter containing 0.5 lb/gal enters the tank at 4 gal/min.
The well-stirred solution leaves the tank at the same
pac-
tin-
any
rate.
Expert Solution
Step 1
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
