-------------------------------------------------------------------------------- A vat holds 20 cubic feet of liquid and is initially full. Water containing 6...

--------------------------------------------------------------------------------

A vat holds 20 cubic feet of liquid and is initially full. Water containing 6 grams of salt per cubic foot is being poured into the vat at the rate of 4 cubic feet per minute, and is instantly mixed. The mixed liquid is draining from the vat at 4 cubic feet per minute, so the vat is always full. Let y(t) denote the number of grams of salt in the vat after t minutes. Write the differential equation for y(t) and use the graphical method to sketch two substantially-different solutions

Expert Solution

milcah answered 2 years ago

1) Calculate the number of mL of water in 1.00 cubic feet of water. 2) The...

1) Calculate the number of mL of water in 1.00 cubic feet of water. 2) The radius of an AI atom is 0.143 nm. How many AI atoms would have to be laid side-by-side to give a row of atoms 1.00 inch long? (Assume atoms are spherical in shape.) 3) A given point on the moon is 240,000 mi from Earth. How long does it take for light from Earth to reach a reflector at that point on the moon...

The mean consumption of water per household in a city was 1212 cubic feet per month....

The mean consumption of water per household in a city was 1212 cubic feet per month. Due to a water shortage because of a drought, the city council campaigned for water use conservation by households. A few months after the campaign was started, the mean consumption of water for a sample of 92 households was found to be 1167 cubic feet per month. The population standard deviation is given to be 220 cubic feet. a. Find the p-value for the...

A 1000L tub containing red and white plastic beads is initially full and 30% of the...

A 1000L tub containing red and white plastic beads is initially full and 30% of the beads are red. Some workers are constantly dumping buckets of beads (2L size, containing half red and half white) into the tub at a rate of 1 bucket every 30 seconds. Other workers are continuously stirring the beads and, as necessary, removing excess volume. (a) Write an IVP which describes this situation. (b) Solve the IVP. (c) How much (units are liters) of red...

Determine the quantity of grout needed for the wall in problem 6-1 if 18 cubic feet...

Determine the quantity of grout needed for the wall in problem 6-1 if 18 cubic feet of grout is required per 100 square feet of block. (Problem 6-1) Determine the number of 7 5/8-inch-high by 5 5/8-inch-wide by 15 5/8-inch-long concrete blocks required to complete a wall 80 feet long by 12 feet high. Allow for a 3/8-inch mortar joint.

A helicopter hovers 500 feet above ground, over a large open tank full of liquid (not...

A helicopter hovers 500 feet above ground, over a large open tank full of liquid (not water). A dense compact object weighing 160 pounds is dropped (released from rest) from the helicopter into the liquid. Assume that air resistance is proportional to instantaneous velocity v while the object is in the air and that viscous damping is proportional to v2 after the object has entered the liquid. For air take the constant of proportionality to be k = 1 /A...

A mountain glacier ends in a small lake that holds 185,000 m3 of water, initially at...

A mountain glacier ends in a small lake that holds 185,000 m3 of water, initially at 7.40 ∘C. An iceberg with mass 17.3×10^6 kg, initially at -10.0∘C, calves off the glacier and floats in the lake. Assuming no energy exchanges except those between the lake water and the iceberg, determine the final temperature AND the mass of the remaining ice

An adiabatic tank contains 120 kg of liquid water initially at 70 °C. The water within...

An adiabatic tank contains 120 kg of liquid water initially at 70 °C. The water within the tank is utilized to quench (cool) a 15 kg steel block initially at 300 °C. The steel block is dropped into the tank, and after some time the steel block and the water in the tank reach thermal equilibrium. Determine the total entropy change during the quenching process. Specific heat of steel : Csteel= 0.50 kJ/kg*K. Specific heat of water : Cwater= 4.18...

2 kg of water exist initially as a vapor and liquid at 90 degrees C in...

2 kg of water exist initially as a vapor and liquid at 90 degrees C in a rigid container of volume 2.42 m^3 (a) at what pressure is the system? (b) what is the quality of the system (c) the temperature of the container is raised to 100 degrees C. what is the quality of the system and what is the pressure? what are the dH and dU at this point relative to the initial state? (d) as the temperature...

Two kg of water exist initially as a vapor and liquid at 90°C in a rigid...

Two kg of water exist initially as a vapor and liquid at 90°C in a rigid container of volume 2.42 m3. (a)At what pressure is the system? (b)What is the quality of the system? (c)The temperature of the container is raised to 100°C. What is the quality of the system, and what is the pressure? What are ΔH and ΔU at this point relative to the initial state? (d)As the temperature is increased, at what temperature and pressure does the...

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.

Question