In: Advanced Math

A nitric acid solution flows at a constant rate of 6L/min into a large tank that initially held 200L of a 0.5% nitric acid solution. The solution inside the tank is kept well-stirred and flows out of the tank at a rate of 8L/min. If the solution entering the tank is 20% nitric acid, determine the volume of nitric acid in the tank after t min. When will the percentage of nitric acid in the tank reach 10%? (Ans: (0.4)(100-t)-(3.9x10-7 )(100-4)4 L; 19.96min)

A brine solution of salt flows at a constant rate of 8 L/min
into a large tank that initially held 100 L of brine solution in
which was dissolved 0.15 kg of salt. The solution inside the tank
is kept well stirred and flows out of the tank at the same rate. If
the concentration of salt in the brine entering the tank is 0.03
kg/L, determine the mass of salt in the tank after t min. When
will the...

A brine solution of salt flows at a constant rate of 4 L/min
into a large tank that initially held 100 L of pure water. The
solution flows out of the tank at a rate of 3 L/min. Set up a DE
that governs this situation in terms of the mass of salt in the
tank. Solve it.

A brine solution of salt flows at a constant rate of 4 L/min
into a large tank that initially held 100 L of pure water. The
solution inside the tank is kept well stirred and flows out of the
tank at a rate of 3 L/min. If the concentration of salt in the
brine entering the tank is 0.6 kg/L, determine the mass of salt in
the tank after t min. When will the concentration of salt in the
tank...

A saline solution with concentration 3 % flows at a constant
rate into a tank with capacity 1500 gallons, initially full of a 7
% saline solution. The solutions remain well-mixed and the rate of
flow of mixed solution out of the tank is twice the rate of flow
into the tank.
What constant rate of flow into the tank will dilute the
solution in the tank to 4 % in 16 hours?
How much solution will be in the...

A large tank holds 1000 L of water into which flows a brine
solution with concentration of 1 kg / L at a rate of 6 L / min. The
solution in the tank is kept well stirred and is flowing out of the
tank at a rate of 5 L / min. Determine when the concentration of
salt will reach 0.5 kg / L.

Water is flowing at the rate of 5m3/min into a tank in the form
of a cone of altitude 20 m and a base radius of 10 m, with its
vertex in the downward direction.
a) How fast is the water level rising when the water is 8m
deep?
b) If the tank has a leak at the bottom and the water level is
rising at 0.084 m/sec when the water is 8 m deep, how fast is the
water...

20. An aqueous solution of nitric acid is standardized by
titration with a 0.162 M solution of potassium hydroxide. If 27.1
mL of base are required to neutralize 20.7 mL of the acid, what is
the molarity of the nitric acid solution? M nitric acid

Water is flowing at the rate of 5 m3 /min into a tank
in the form of a cone of altitude 20 m and a base radius of 10 m,
with its vertex in the downward direction.
a) How fast is the water level rising when the water is 8m
deep?
b) If the tank has a leak at the bottom and the water level is
rising at 0.084 m/sec when the water is 8 m deep, how fast is...

A nitric acid solution is composed of 63.75 g of HNO3 and 205.65
mL of pure water. What is the percent by mass of the nitric acid
solution? Use the density of water as 0.9984 g/mL.

A 7.81 g sample of an aqueous solution of
nitric acid contains an unknown amount of the
acid.
If 23.2 mL of 1.68 M
potassium hydroxide are required to neutralize the
nitric acid, what is the percent by mass of
nitric acid in the mixture?

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