A tank contains 50 gallons of a solution composed of 85% water and 15% alcohol. A second solution containing half water and half alcohol is added to the tank at the rate of 4 gallons per minutes. At the same time, the tank is being drained at the same rate. Assuming that the solution is stirred constantly, how much alcohol will be in tank after 10minutes?

Q: A tank originally contains 100 gal of fresh water. Then water containing - lb of salt per gallon is…

A:

Q: How many liters of each 20% (v/v) alcohol and 80% (v/v) alcohol must be mixed to yield 20 liters of…

A: We are given two percentages of alcohol that are 20% and 80%. We have to produce 20 liters of 50%…

Q: Two streams of fluid are entering a tank simultaneously. The first stream contains fresh water and…

A: Since, first stream contains fresh water which does not contain salt. Therefore, first stream does…

Q: How many minutes are needed to accumulate 100 of pounds of salt in the tank.

A: Find the time(minute)

Q: In a mixing vat there are initially 100 litres of volatile liquid. 3 litres of fresh liquid are…

A: Solution

Q: You are taking an 800-mg dose of an antibiotic every 8 hours. Your body eliminates 50% of the drug…

A:

Q: After the drug reaches its maximum concentration, how many hours are required for the concentration…

A: Concentration reaches maximum at x=2 hours. For the concentration to reach 16mg/L, Identify point at…

Q: A health clinic uses a solution of bleach to sterilize petri dishes in which cultures are grown. The…

A: Solution

Q: a large bucket that is full of water has a small leak on the bottom. The bucket loses water at the…

A: Given ,  a large bucket that is full of water has a small leak on the bottom. The bucket loses water…

Q: If f(x) = .Determine the value of E) (d) 8 (e) None (a)

A: Use the formula for  summation of infinity geometric series.

Q: A prankster puts 4 lb of soap in a fountain that contains 200 gal of water. To clean up the mess a…

A: Given:          A prankster puts 4 lb of soap in a fountain that contains 200 gal of water.…

Q: time it takes to double an algae sample is 100 hours. Construct a formula for this model. How many…

A: We can solve the problem by exponential growth function

Q: tank holds 120 gallons of water. A pipe delivers water into the tank

A:

Q: A tank contains 150 L of pure water. Brine that contains 0.2 kg of salt per liter enters the tank at…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.