Question
In: Math
A Tank can hold 200 liters, it currently holds 150 liters of fresh water. 2 different...
A Tank can hold 200 liters, it currently holds 150 liters of fresh water. 2 different pipes pour in mixture, one at a rate of 1kg of salt per minute at a rate of 6 liters per minute. another at a rate of 2 kg of salt at a rate of 4 liters per minute.
A. If the mixture is flowed out at a rate of 10 liters per minute what is the amount of salt at time t. what about in 10 minutes?
B. the pipes outflow is reduced to 5 liters per minute when will the tank overflow and how much salt will be in it.
C. The tank is over flowing so you decide to turn off the pipe that flows in at 6 liters per minute. how long until the tank returns to 150 liters
plz show work
Solutions
milcah answered 2 years agoRelated Solutions
A 500-liter tank initially contains 200 liters of a liquid in which 150 g of salt...
A 500-liter tank initially contains 200 liters of a liquid in which 150 g of salt have been dissolved. Brine that has 5 g of salt per liter enters the tank at a rate of 15 L / min; the well mixed solution leaves the tank at a rate of 10 L / min.
-Find the amount A (t) grams of salt in the tank at time t.
-Determine the amount of salt in the tank when it is full.
A tank originally contains 100 gal of fresh water. Then water containing 1 2 lb of...
A tank originally contains 100 gal of fresh water. Then water
containing 1 2 lb of salt per gallon is poured into the tank at a
rate of 2 gal/min, and the mixture is allowed to leave at the same
rate. After 10 min the process is stopped, and fresh water is
poured into the tank at a rate of 4 gal/min, with the mixture again
leaving at the same rate. Find the amount of salt in the tank at...
A tank originally contains 100 gal of fresh water. Then water containing 1 2 lb of...
A tank originally contains 100 gal of fresh water. Then water
containing
1
2
lb of salt per gallon is poured into the tank at a rate of 2
gal/min, and the mixture is allowed to leave at the same rate.
After 10 min the process is stopped, and fresh water is poured into
the tank at a rate of
6 gal/min,
with the mixture again leaving at the same rate. Find the amount
of salt in the tank at...
A tank originally contains 120 gal of fresh water. Then water containing 1/2 lb of salt...
A tank originally contains 120 gal of fresh water. Then water
containing 1/2 lb of salt per gallon is poured into the tank at a
rate of 2 gal/min, and the mixture is allowed to leave at the same
rate. After 11 min the process is stopped, and fresh water is
poured into the tank at a rate of 2 gal/min, with the mixture again
leaving at the same rate. Find the amount of salt Q(11) in the tank
at...
A pump lifts 1000 (liters) of water from ground to a tank on the roof of...
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A skier is coming downhill. At one point she is 50 (m)
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22.3 (m/s)...
A closed, rigid tank is filled with water. Initially, the tank holds 0.6 lb of saturated...
A closed, rigid tank is filled with water. Initially, the tank
holds 0.6 lb of saturated vapor and 6.0 lb of saturated liquid,
each at 212°F. The water is heated until the tank contains only
saturated vapor. Kinetic and potential energy effects can be
ignored.
Determine the volume of the tank, in ft3, the temperature at
the final state, in °F, and the heat transfer, in Btu.
A farmer has a mixing tank of capacity 1200 liters which she half-filled with pure, fresh...
A farmer has a mixing tank of capacity 1200 liters which she
half-filled with pure, fresh water. She pumps into the tank a
concentrated liquid fertilizer (CLF) at rate 3 liters/minute,
containing 1/3 ∼ 0.333 kg/liter of nitrate (a salt of nitric acid).
In addition, she pours the dry powder fertilizer (DPF, the same
chemical as a soluble powder) at rate 1/12 = 0.08333 kg/min in the
tank; her aim is to get a right solution concentration 0.12kg/liter
for the...
An aquarium pool has volume 2 · 106 liters. The pool initially contains pure fresh water. At t...
An aquarium pool has volume 2 ·
106 liters. The pool initially contains pure
fresh water. At t = 0 minutes, water
containing 20 grams/liter of salt is poured into the pool at a rate
of 60 liters/minute. The salt water instantly mixes with the fresh
water, and the excess mixture is drained out of the pool at the
same rate (60 liters/minute).
(a) Write a differential equation for
S(t), the mass of salt in the
pool at time t.
dS
dt...
A tank initially contains 10 liters of clean water (with no salt in it). Every minute,...
A tank initially contains 10 liters of clean water (with no salt
in it). Every minute, a solution containing one liter of water and
one gram of salt is added to the tank, and two liters of fluid are
drained from the tank. The fluid in the tank is mixed continuously
so that the salt is distributed evenly throughout the water in the
tank. How many minutes does it take for the tank to contain 2 grams
of salt?
Problem 3.034 A closed, rigid tank is filled with water. Initially, the tank holds 0.4 lb...
Problem 3.034
A closed, rigid tank is filled with water. Initially, the tank
holds 0.4 lb of saturated vapor and 4.0 lb of saturated liquid,
each at 212°F. The water is heated until the tank contains only
saturated vapor. Kinetic and potential energy effects can be
ignored.
Determine the volume of the tank, in ft3, the
temperature at the final state, in °F, and the heat transfer, in
Btu.
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